Latest updates (until 2018-10-15): CR190 CR191 CR192 CR193 CR194 CR195 CR196 CR197 CR198 CR199 CR050 CR140
New article: [11], [12] (last update 2014-12-15).
Puzzle-ID | Name | (example entry for explanation of fields) | |||
---|---|---|---|---|---|
Image(s) of puzzle. Click on image or links for bigger image versions. |
Designer | Manufacturer | Year | ||
Name of creator of puzzle design | Name/Company name of manufacturer | Year of first release | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
# of Levels (n) | special pieces only | of special pieces (m) | exact or asymptotic (Θ) function of n and m | counted/calculated | |
Remarks | Remarks about special features, similar puzzles. | ||||
References | Links to patents, Extremely Puzzling page, other web pages on this puzzle | ||||
Symbols: | ^{§}=counting moves of special pieces only; ^{‡}=counting moves until first piece comes out | ||||
CR091 | Name | Algorithme 9 | |||
Designer | Manufacturer | Year | |||
Patrick Farvacque | Patrick Farvacque | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 9 | discs | |||
Remarks | The Algorithme series features different puzzles with different number of discs, different disc heights and post heights. They are all some variation of Tower of Hanoi, which can also be seen in the rules: move one disc at a time, which is on top of its pile; no bigger disc may be put on a smaller one (equal size is OK); piles may only go up to post end, not higher. | ||||
References | CFF79 contains an article by Dick Hess about Algorithme 6 | ||||
CR174 | Name | Alken/Kenal | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Alfons Eyckmans, Ken Johnson | Alfons Eyckmans | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | panel | 321 | ||
Remarks | Variant of CR160, but not coming apart and only with 5 binary pieces, and one lid piece to be removed by the solution sequence. The lid piece has a different structure, and leads to four puzzles: Alken has lid piece which is binary (135 moves) in one orientation and 6-ary (321 moves) in the other. Kenal has a binary (135 moves) and 4-ary (257 moves) lid piece. The 135 move configurations also allow the solution sequence to run over the point branching into the last few moves before lid removal, and then leading to a dead end. These dead ends can also be reached when re-inserting the lid and trying to close the box. Also at the beginning of the 135 move sequences (box closed) there are some dead ends possible. Second pictures shows the box open and details of the lid pieces, the third piece shows the lid to be slid open without removal, possible for the Kenal 135 configuration just before the end of the sequence. | ||||
References | [1] | ||||
CR127 | Name | Alles Schiebung | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | slider | 42 | ||
Remarks | Additional locking mechanism; AKA: Sternary | ||||
References | [1] | ||||
CR172 | Name | Aquarius Drawer (5 devices) | |||
Designer | Manufacturer | Year | |||
Hiroshi Iwahara | Hiroshi Iwahara | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 5 | block | 61 | ||
Remarks | Five blocks form a ternary chain of pieces, with two small drawers at the ends. First drawer can be opened after 5 device moves, the other requires 61 moves. | ||||
References | [1], [2] | ||||
CR061 | Name | A Slide-ly Tricky Tower | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Yee Dian Lee | Yee Dian Lee | 1999 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 6 | sliding piece | Θ( 3^{m} ) | 485 | |
Remarks | Different movement schemes by using additional blocking pieces. In the worst case (all blocking pieces), it has 2·3^{m—1}—1 moves. Other cases have just Θ(2^{m}) moves. | ||||
References | [1] | ||||
CR046 | Name | Apricot | |||
Designer | Manufacturer | Year | |||
Akio Kamei | Akio Kamei | 2002 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | panel | ||||
Remarks | |||||
References | [1] | ||||
CR023 | Name | Auf dem Holzweg | |||
Designer | Manufacturer | Year | |||
Juergen Reiche | Siebenstein | 2011 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | slider | |||
Remarks | Two arity 3 puzzles in one | ||||
References | [1] | ||||
CR177 | Name | Bald Eagle | |||
Designer | Manufacturer | Year | |||
DDK, Aaron (Yulong) Wang | Aaron (Yulong) Wang | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 5 | ring+connector | Θ( m ) | ||
Remarks | Goal is to remove the big foldable circle piece, which starts in the middle. It can traverse to the left or right end, both consisting of 5 ring+connector pairs. While there are two states for the big circle and each ring+connector pair (i.e. binary), the overall solution is linear. Each pair is traversed only once. The zig-zag chain of rings on the main loop looks like the structures used in others of Aaaron's n-ary puzzles. | ||||
References | [1] | ||||
CR039 | Name | Barcode Burr | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Lee Krasnow | Lee Krasnow | 2004 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | burr piece | 2^{m+1}—4 | 124 | |
Remarks | Variants: CR137, CR199; some shortcuts exist | ||||
References | [1] | ||||
CR137 | Name | Barcode Burr (3D printed) | |||
Designer | Manufacturer | Year | |||
Lee Krasnow | Steve Miller | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | burr piece | 2^{m+1}—4 | 124 | |
Remarks | 3D printed reproduction of CR039 in limited run; variant:CR199. Each of the six pieces is printed as one piece and has some additional metal pins. | ||||
References | [1] | ||||
CR199 | Name | Barcode Burr (3D printed) | |||
Designer | Manufacturer | Year | |||
Lee Krasnow | Lee Krasnow/pacificpuzzleworks | 2018 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | burr piece | 2^{m+1}—4 | 124 | |
Remarks | 3D printed reproduction of CR039 by original designer; variant:CR137. Each of the six pieces is assembled from three 3D printed pieces (one silver, two black), and some screws. | ||||
References | [1] | ||||
CR160 | Name | B-Box | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Goh Pit Khiam | Eric Fuller | 2016 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | panel | 135 | ||
Remarks | This is a combination of puzzle box and burr. Not only the panels can be opened and removed, but also the frame can be taken apart completely. Inside the box is a second puzzle, the Reactor by Eric Fuller, a small puzzle box. | ||||
References | [1] | ||||
CR115 | Name | Bicomplementary Formation b/b:1/2 | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Namick Salakhov | Namick Salakhov | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 11 | bars, sticks | 70^{‡} | ||
Remarks | V1, N01; Two interlocking binary sequences (one of bars, one a bit hidden of the sticks). Beside the binary moves, this puzzle also contains burr moves without an n-ary scheme and with half-notches. The number of moves contains the binary sequences and some of the burr like moves. | ||||
References | [1] | ||||
CR134 | Name | Bi-Nary | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Jean-Claude Constantin | Jean-Claude Constantin | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | slider-pair+ball | 259 | ||
Remarks | This puzzle combines the mechanisms of CR064 and CR087. The pictures shows second and first edition. The second is more stable and removes a solution issue of the first. | ||||
References | [1], [2] | ||||
CR006 | Name | Bin Laden | |||
Designer | Manufacturer | Year | |||
Rik van Grol | Rik van Grol | 2006 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 4 | drawer | 21 | ||
Remarks | Partially ternary and modified sequence | ||||
References | [1] | ||||
CR150 | Name | Bin Laden Too | |||
Designer | Manufacturer | Year | |||
Rik van Grol | Rik van Grol | 2015 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 5 | drawer | |||
Remarks | Additional mechanisms, modified sequence, combination of several binary sequences. The objective to remove the dice modifies the sequence even further, as a die can only be taken out when a drawer is fully extended and the drawer above in its starting position inside the box. | ||||
References | [1] | ||||
CR073 | Name | Binary Bud | |||
[1] [2] [3] [4] [5] [6] |
Designer | Manufacturer | Year | ||
Namick Salakhov | Namick Salakhov | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | leaf | Θ( 2^{m} ) | ||
Remarks | The puzzle contains different challenges | ||||
References | [1], [2] | ||||
CR169 | Name | Binary Ladder Disentanglement | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | ring | |||
Remarks | Name unknown; this version is of early 1990s or shortly before. | ||||
References | [1] | ||||
CR063 | Name | Binary Key II | |||
Designer | Manufacturer | Year | |||
Goh Pit Khiam | Cubicdissection | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 5 | switch | ^{1}⁄_{6} [—7·(—1)^{m}+2^{m+4}—9] | 85 | |
Remarks | Variation of CR058 | ||||
References | [1] | ||||
CR163 | Name | B-Nary | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2016 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | slider | Θ( 3^{m} ) | 220 | |
Remarks | The mechanism is hidden and seems to consist of the four sliders, several ball bearings, and sliding pieces. There is also one additional ball bearing that has to travel from start to goal, from where it can be put into the start position via a reset feature. During this time, the ternary sequence is executed twice (forwards, then backwards) with 54 slider moves each. The total number of moves includes these slider moves (2·54), the corresponding tilting moves to move ball bearings/sliding pieces (2·54), tilting moves to move the extra ball bearing inside the puzzle and out (3+1). Once the extra ball bearing has reached the half way position, it can go inside the sliders and cause some lockups that have to be undone by reversed moves before the regular sequence can continue. | ||||
References | [1] | ||||
CR182 | Name | Buggin | |||
Designer | Manufacturer | Year | |||
Stuart Gee | Stuart Gee | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | loop | |||
Remarks | Variant of: CR031 by linking two of these (with 3 loops) together at the end of the sequence. Sequences can mainly be traversed one after the other. | ||||
References | [1] | ||||
CR166 | Name | Cast Infinity | |||
Designer | Manufacturer | Year | |||
Vesa Timonen | Hanayama | 2016 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
6 | 2 | disc | |||
Remarks | Two interlocking discs which can rotate between six positions and can move up and down. Objective is to remove the discs. | ||||
References | [1] | ||||
CR059 | Name | Chinese Rings 5 | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 5 | ring | [2^{m+1}/3] | 21 | |
Remarks | Variant: CR042. The pictures 2 and 3 show other versions with 5 rings. Reference [14] shows a 7 ring variant including solution. | ||||
References | [1], [2], [3], Reference Section [9] and [14] (pp. 100-102) | ||||
CR042 | Name | Chinese Rings 9 | |||
Designer | Manufacturer | Year | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 9 | ring | [2^{m+1}/3] | 341 | |
Remarks | Variant: CR059 | ||||
References | [1], Reference Section [9] | ||||
CR123 | Name | Complementary p-arity | |||
[1] [2] [3] [4] [5] |
Designer | Manufacturer | Year | ||
Namick Salakhov | Namick Salakhov | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 14 | bars, loops | 102^{‡} | ||
Remarks | Complimentary combination of several different sequences: Top 5 bars run in a 3-ary sequence, together with the 5 bottom bars, who run (slower) in a 2-ary sequence. These interact with the 4 loop-pieces, which run accross in a 3-ary sequence. First challenge of the puzzle is to understand these sequences, then the second is to disassemble and correctly reassemble the puzzle, with many other parts, alltogether 29 pieces. | ||||
References | [1], [2] | ||||
CR054 | Name | Computer Loops | |||
Designer | Manufacturer | Year | |||
Mag-Nif | 1975 | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 8 | ring | [2^{m+1}/3] | 170 | |
Remarks | |||||
References | [1] | ||||
CR031 | Name | Computer Puzzler No 2 | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Tenyo | |||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 4 | loop | Θ( 2^{m} ) | ||
Remarks | |||||
References | [1], [2] (US Patent 1091709), [3] | ||||
CR034 | Name | Computer Puzzler No 5 | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Tenyo | |||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 4 | loop | |||
Remarks | was No 3 earlier; Variants: CR003, CR013, CR024, CR045, CR081, CR122 | ||||
References | [1], [2] | ||||
CR010 | Name | Crazy Elephant Dance | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Markus Goetz | Peter Knoppers | 2005 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 5 | elephant | 3·(2^{m}—1)—2·m | 83 | |
Remarks | The second and third pictures show the original prototype of the puzzle. | ||||
References | [1] | ||||
CR175 | Name | Corn on the Cob I | |||
Designer | Manufacturer | Year | |||
Aaron (Yulong) Wang | 2017 | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 9 | ring pairs | |||
Remarks | Variants: CR178, CR188. This is mainly a (binary) Chinese Rings puzzle with single rings. The second ring of each pair is dropped from the main bar when the corresponding ring get's off the bar. It will then stay unhooked, while the primary ring follows the usual Chinese Rings sequence. For each pair there are four states (on/off loop for each ring), so this puzzle can also be considered quarternary. However, the main sequences and interactions are only binary, with touching every secondary ring only once, hence classified as binary here. | ||||
References | [1] | ||||
CR178 | Name | Corn on the Cob II | |||
Designer | Manufacturer | Year | |||
Jianjiang Wu | Aaron (Yulong) Wang | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 9 | ring pairs | |||
Remarks | Variants: CR175, CR188. This is mainly a (binary) Chinese Rings puzzle with single rings in a chinese rings chain (CRC) and then an additional chain, a zig zag chain (ZZC) through the connector piece ends. When the last ring from the CRC on the handle bar is dropped, a sequence through the ZZC follows. As this is a ZZC, half of the rings are wrongly oriented for the usual sequence, and at those points parts of the CRC are traversed to the beginning of the CRC, to allow access to the ZZC rings in the other orientation. These interruptions in the ZZC sequence by CRC sequences will then happen until the completion of the solution. The main scheme is that the rings of the CRC come off one after another like in a Chines Rings puzzle. Consequently, the reassemlby follows this scheme: Run through the CRC to put on the last free ring of the CRC, then put the lasts free ring of the ZZC on the handle bar. This automatically adds two rings of the ZZC, so one will need to be released to allow to put on the next CRC ring. For this some ZZC sequences are required, with some CRC sequences performed up to the correct entry point of the ZZC. The scheme can be learned with a few ring pairs (up to 4) initially, but only with 7 or 9 ring pairs, all required moves become apparent. | ||||
References | [1] | ||||
CR188 | Name | Corn on the Cob III | |||
Designer | Manufacturer | Year | |||
Jianjiang Wu | Aaron (Yulong) Wang | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 9 | ring pairs | |||
Remarks | Variants: CR175, CR178. Like the first two puzzles in the series, the CotC III is mainly a binary chinese rings puzzle. Each ring is part of a pair with a free ring (only one end caught in a connector) and a ring part of the main zig-zag back bone. After analysis, the puzzle can be solved with some simple rules: Each ring has only one correct orientation on the handlebar piece. The free rings form a binary chinese rings puzzle that needs to be solved, and when the bar needs to go through one ring of a pair, it should always go through the free ring. The last rule is about re-assembly (entanglement): When the handlebar is at the rightmost free/zig-zag ring pair, it should break the rule before and go through the zig-zag ring. | ||||
References | [1] | ||||
CR047 | Name | Cross and Crown | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Louis S. Burbank | 1913 | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
5 | 4 | rivet | 2·5^{m} | 1250 | |
Remarks | Variants: CR120, CR121, CR158 | ||||
References | [1] (US Patent 1071874), [2] | ||||
CR120 | Name | Cross and Crown 2013 | |||
Designer | Manufacturer | Year | |||
Louis S. Burbank | Robrecht Louage | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
5 | 4 | rivet | 2·5^{m} | 1250 | |
Remarks | Reproduction based on the original patent; Variants: CR047, CR121, CR158 | ||||
References | [1], [2] (US Patent 1071874) | ||||
CR121 | Name | Cross and Crown 7 | |||
Designer | Manufacturer | Year | |||
Louis S. Burbank, Michel van Ipenburg | Robrecht Louage | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
5 | 4 | rivet | 2·7^{m} | 4802 | |
Remarks | Variants: CR047, CR120, CR158 | ||||
References | [1] | ||||
CR140 | Name | Crossing | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Jack Krijnen | Jack Krijnen | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 4 | sliding piece | |||
Remarks | Goal: slide the pieces so that the left black L shape ends up in the bottom left corner | ||||
References | [1], reference section [12] | ||||
CR056 | Name | CUBI | |||
Designer | Manufacturer | Year | |||
Akio Kamei | Akio Kamei | 1985 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | panel | 2^{m—1} | 32 | |
Remarks | Variant: CR048, CR162 | ||||
References | |||||
CR092 | Name | Delirium | |||
[1] [2] [3] [4] |
Designer | Manufacturer | Year | ||
Stéphane Chomine | Claus Wenicker | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 28 | burr pieces | (2^{m+2}—1 — (m mod 2))/3 | 357913941 | |
Remarks | Simplified version of: CR012, CR076, pictures show versions with 28, 5, 6, and 38 special pieces. Reference 1 shows form for arbitrary many special pieces. Variant: CR154 | ||||
References | [1] | ||||
CR154 | Name | Delirium 13 | |||
Designer | Manufacturer | Year | |||
Stéphane Chomine | Johan Heyns | 2016 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 12 | burr pieces | (2^{m+2}—1 — (m mod 2))/3 | 5461 | |
Remarks | Simplified version of: CR012, CR076. Reference 1 shows form for arbitrary many special pieces. Variant: CR092 | ||||
References | [1], [2] | ||||
CR075 | Name | Devil's Cradle | |||
Designer | Manufacturer | Year | |||
Rick Irby | 2000 | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | pair of loops | |||
Remarks | Variants: CR014, CR030, CR067, CR068, CR069, CR070 | ||||
References | |||||
CR060 | Name | Die Welle | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2010 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
5 | 3 | ball | 5^{m}—1 | 124 | |
Remarks | |||||
References | [1] | ||||
CR124 | Name | Digi Fork Lock | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Namick Salakhov | Namick Salakhov | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
4 | 5 | slider | |||
Remarks | Enhancement of CR093 | ||||
References | [1] | ||||
CR159 | Name | Digits' Compressor | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Namick Salakhov | Namick Salakhov | 2016 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 8 | disc | 49 | ||
Remarks | Goal is to compress the digit stack to minimal height by rotating discs and moving them verticalle, and additionally to line up the red markings with the four red markings on top and bottom parts. There are several different-length dead end sequences. The five gray discs move in a binary symmetric Gray code sequence, unlike the black ones. Each disc has an orange pin, which can interock with two different holes in the disc below, i.e. two differet positions for each disc. | ||||
References | [1], [2] | ||||
CR158 | Name | Disc & Crown CFF 100 Jubilee Edition Puzzle | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Robrecht Louage, Michel van Ipenburg | Robrecht Louage | 1916 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 3 | rivet | 2·3^{m} | 54 | |
Remarks | Limited edition of 500 that was a gift with CFF issue 100. Variants: CR047, CR120, CR121 | ||||
References | [1], Reference Section [15] | ||||
CR192 | Name | Disordered Chinese Rings | |||
Designer | Manufacturer | Year | |||
Yuandong Jiang, Aaron (Yulong) Wang | Aaron (Yulong) Wang | 2018 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 9 | rings | |||
Remarks | While the rings in the classic Chinese Rings puzzle are linking their connector with the next connector each, in this one, the regular scheme is broken and some rings go over the next two or three connectors. Some of them lead to irregularly stacked rings on some connectors, while for others the rings over the next one and two connectors are aligned in parallel over one connector. When solving, one has to ensure to choose the right ring for the sequence and which ring to skip, while the overall solution sequence is aligned to the general Chinese Rings sequence. | ||||
References | [1] | ||||
CR074 | Name | Dispersed GC Lock | |||
[1] [2] [3] [4] |
Designer | Manufacturer | Year | ||
Namick Salakhov | Namick Salakhov | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 9 | switch | 184 | ||
Remarks | Code corresponds to setting 1100 of CR020 | ||||
References | [1], [2] | ||||
CR143 | Name | DITWIBIN | |||
[1] [2] [3] [4] |
Designer | Manufacturer | Year | ||
Namick Salakhov | Namick Salakhov | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | slider | Θ( 2^{m} ) | ||
Remarks | One of the simplest designs of a whole puzzle family, with different number of sliders, disks, and arities. This design was devised fist for higher order variants in August 2014, about a month before this puzzle. One of the higher order variants is CR149. | ||||
References | [1] | ||||
CR170 | Name | Double Helix | |||
Designer | Manufacturer | Year | |||
Goh Pit Khiam | Jack Krijnen | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | pairs of burr sticks | 73 | ||
Remarks | This puzzle consists of 20 pieces, of which 8 are the special pieces (middle layers). A pair of pieces makes up one level, as outlined in the article referenced below. | ||||
References | reference section [12] | ||||
CR194 | Name | Double Image | |||
Designer | Manufacturer | Year | |||
DDK | Aaron (Yulong) Wang | 2018 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 9 | ring+connector | |||
Remarks | The main chain of this is a classic 9 ring Chinese Rings puzzle. Attached to rings 3, 5, 7, and 9 are a small ring and connected to that two regular sized rings. Those rings are linked with the previous and next connector. During the solution, only at most one ring of each additional ring pairs will be on the handle. The main solution sequence is still binary, but one has to determine when to pick up the forward / backward secondary ring. At some points in the solution, both the primary ring and the secondary ring are on the main bar, at other points in the solution, also only the secondary ring might be on the main bar (but this only holds for the forward rings, the secondary backwards rings are never on the handle alone). Therefore, the puzzle could also be classed as a ternary puzzle, or even quarternary, but the main structure is still binary. | ||||
References | [1] | ||||
CR135 | Name | Double Loop | |||
Designer | Manufacturer | Year | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 2 | loop pairs | |||
Remarks | Variant: CR067 (other variants see there) | ||||
References | [1], [2] | ||||
CR101 | Name | Dragonfly | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 4 | rings | 23 | ||
Remarks | extra rings for symmetry; second picture shows Airplane puzzle | ||||
References | [1]; Reference Section [7] and [8] | ||||
CR146 | Name | Drunter & Drueber | |||
Designer | Manufacturer | Year | |||
Juergen Reiche | Siebenstein | 2015 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 4 | loop | Θ( 2^{m} ) | ||
Remarks | |||||
References | [1] | ||||
CR014 | Name | Electro 1 | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Tenyo | |||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 3 | pair of loops | 26 | ||
Remarks | The second picture shows an unknown variant. Variants: CR030, CR067, CR068, CR069, CR070, CR075 | ||||
References | [1], [2] | ||||
CR015 | Name | Electro 2 | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Gabor Vizelyi | Tenyo | 1981 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 7 | loop | 25 | ||
Remarks | |||||
References | [1] , [2] US Patent 4391445, [3] | ||||
CR153 | Name | Elephant Wire Puzzle | |||
Designer | Manufacturer | Year | |||
Beijing Oriental Top Science Trading Ltd | 2003 | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 7 | loop | |||
Remarks | Variant of: CR031 with a more irregular shape. The instructions lists 11 different starting positions as challenges. | ||||
References | [1] | ||||
CR198 | Name | Entwined Loop Lattice | |||
Designer | Manufacturer | Year | |||
Namick Salakhov | Namick Salakhov | 2018 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
7 | 4 | loop | Θ( 3^{m} ) | 80 | |
Remarks | This is actually a section of an infinite puzzle: The puzzle could be extended infinitely to the right or left. If this structure is closed as a loop, this will lead to something like CR197. Therefore, the arity is hard to determine. There are six loops and the configuration off the loop for each pole/sector, so 7-ary might be a good description. However, the solution only makes use of 4 of the poles (and the rope off the puzzle), so it is more 5-ary, and the actual solution length is 3-ary. For the solution the two bends of the rope start in the compartments denoted by red triangles, and each bend will be maneuvered off the puzzle separately, with 40 moves each. In the IPP38 Design Competition it participated as part of "Loopy Lattice Puzzles"; other puzzles from the same series: CR196, CR197 | ||||
References | [1], [2] | ||||
CR071 | Name | Expansion V | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Akio Kamei | Akio Kamei | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | panel | 2^{m—1}+3 | 35 | |
Remarks | Simpler variant of: CR094 | ||||
References | [1], [2] | ||||
CR094 | Name | Expansion VI | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Akio Kamei | Akio Kamei | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | panel | Θ( 2^{m} ) | 83 | |
Remarks | More complicated variant of: CR071 | ||||
References | [1], [2] | ||||
CR157 | Name | Extended Chinese Rings | |||
Designer | Manufacturer | Year | |||
Ruan Liuqi | Bob Easter | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | rings | Θ( 2^{m} ) | |||
Remarks | Various extended Chinese Rings, based on the designs from the book given in the references section. These designs are e.g.: CR108, CR110, CR111 | ||||
References | Reference Section [7] and [8] | ||||
CR072 | Name | Ferris Wheel | |||
Designer | Manufacturer | Year | |||
Jean Carle | Eureka 3D Puzzles | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 3 | loop | |||
Remarks | Variant: CR144 | ||||
References | [1], [2] | ||||
CR147 | Name | Fibula Puzzle | |||
Designer | Manufacturer | Year | |||
Lord Minimal | Monkeys Cage | 2015 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 3 | loop | |||
Remarks | |||||
References | [1], [2] | ||||
CR052 | Name | Fidgety Rabbits | |||
Designer | Manufacturer | Year | |||
Namick Salakhov | Namick Salakhov | 2012 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 7 | rabbit disc | Θ( 2^{m} ) | 170 | |
Remarks | Variant: CR018 | ||||
References | [1], [2] | ||||
CR018 | Name | Fidgety Rabbits ternary | |||
Designer | Manufacturer | Year | |||
Namick Salakhov | Namick Salakhov | 2012 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 6 | rabbit disc | Θ( 3^{m} ) | 230 | |
Remarks | Variant: CR052 | ||||
References | [1] | ||||
CR129 | Name | Find my Hole | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 3 | discs | |||
Remarks | This puzzle contains three disks, but from a mathematical view, the top and bottom disc act as one and have to be moved simultaneously in different directions. Additional locking mechanism. | ||||
References | [1] | ||||
CR098 | Name | Fish | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 4 | rings | 27 | ||
Remarks | The first picture shows the "Wicked Wire" version by Professorpuzzle. | ||||
References | [1]; Reference Section [7], [8], and [14] (p.153) | ||||
CR161 | Name | Fishing Hook Chain 9-Ring | |||
Designer | Manufacturer | Year | |||
DDK | Aaron (Yulong) Wang | 2016 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 9 | rings+loops | |||
Remarks | The three states of each ring+loop pair are: main bar through the loop (or "fishing hook", initial configuration), through the ring, and off both. When reassembling the puzzle, an additional challenge arises: it may easily happen that some hooks end up on the main loop in wrong orientation. As this can only be seen after many (up to 1000s) of moves, careful planning is advised and analaysis of smallers problem of the first few hooks only. One feasible approach is to arrange the loops in an alternating pattern above and below the the backbone while running through the sequence. | ||||
References | [1] | ||||
CR114 | Name | Football | |||
Designer | Manufacturer | Year | |||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 5 | rings | 21 | ||
Remarks | |||||
References | Reference Section [7] and [8] | ||||
CR110 | Name | Fortune | |||
Designer | Manufacturer | Year | |||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 12 | rings | 993 | ||
Remarks | |||||
References | Reference Section [7] and [8] | ||||
CR081 | Name | Frame & Loop Octet | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Abraham Jacob | Abraham Jacob | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 8 | loop | |||
Remarks | Variants: CR003, CR013, CR024, CR034, CR045, CR122 | ||||
References | |||||
CR024 | Name | Frame & Loop Quartet | |||
Designer | Manufacturer | Year | |||
Abraham Jacob | Abraham Jacob | 2009 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 4 | loop | |||
Remarks | Variant of Computer Puzzler No 5; Variants: CR003, CR013, CR034, CR045, CR081, CR122 | ||||
References | [1] | ||||
CR003 | Name | Frame & Loop Quintet | |||
Designer | Manufacturer | Year | |||
Abraham Jacob | Abraham Jacob | 2009 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 5 | loop | |||
Remarks | Variants: CR013, CR024, CR034, CR045, CR081 , CR122 | ||||
References | [1] | ||||
CR122 | Name | Frame & Loop Septet | |||
Designer | Manufacturer | Year | |||
Abraham Jacob | Abraham Jacob | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 7 | loop | |||
Remarks | Variants: CR003, CR013, CR024, CR034, CR045, CR081 | ||||
References | [1] | ||||
CR045 | Name | Frame & Loop Sextet | |||
Designer | Manufacturer | Year | |||
Abraham Jacob | Abraham Jacob | 2009 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | loop | |||
Remarks | Re-released for IPP34 Exchange; Variants: CR003, CR013, CR024, CR034, CR081, CR122 | ||||
References | [1] | ||||
CR013 | Name | Frame & Loop Trio | |||
Designer | Manufacturer | Year | |||
Abraham Jacob | Abraham Jacob | 2009 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 3 | loop | |||
Remarks | Variants: CR003, CR024, CR034, CR045, CR081, CR122 | ||||
References | [1] | ||||
CR079 | Name | Frequency Doubler 1 | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Oskar van Deventer | Tom Lensch | 2012 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
5 | 4 | slider | 4·(m^{2}+2·m—1) | 28 | |
Remarks | Variants: CR080, CR090 older design, but first made in this version in 2012 | ||||
References | [1] | ||||
CR080 | Name | Frequency Doubler 2 | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Oskar van Deventer | Tom Lensch | 2012 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
5 | 6 | slider | 4·(m^{2}+2·m—1) | 56 | |
Remarks | Variants: CR079, CR090 older design, but first made in this version in 2012 | ||||
References | [1] | ||||
CR090 | Name | Frequency Doubler 3 | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Oskar van Deventer | Tom Lensch | 2012 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
5 | 8 | slider | 4·(m^{2}+2·m—1) | 92 | |
Remarks | Variants: CR079, CR080, second picture shows solved state, older design, but first made in this version in 2012 | ||||
References | |||||
CR089 | Name | GC machine ternary | |||
[1] [2] [3] [4] [5] [6] |
Designer | Manufacturer | Year | ||
Namick Salakhov | Namick Salakhov | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 5 | switch | 141 | ||
Remarks | Goal is to move all switches to the "far out" position | ||||
References | [1] | ||||
CR065 | Name | Generation Lock | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Jean-Claude Constantin | Jean-Claude Constantin | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
15 | 8 | slider | 2·15^{m—1} | 341718750 | |
Remarks | second picture shows comparison with CR037; Variant: CR037 | ||||
References | [1] [2] | ||||
CR067 | Name | Gordian Knot | |||
Designer | Manufacturer | Year | |||
Eureka 3D Puzzles | |||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 2 | pair of loops | |||
Remarks | Variants: CR014, CR030, CR068, CR069, CR070, CR075, CR135; alternative version named "Gekkenwerk" was devised by Jack Botermans, see reference section [13] pp. 76 and 77, including a solution | ||||
References | [1], [2], reference section [13] | ||||
CR068 | Name | Gordian Knot 2 | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Huso Taso | 2013 | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 1 | pair of loops | |||
Remarks | The second picture shows a variant built by Jan Sturm (new in 2014). Variants: CR014, CR030, CR067, CR069, CR070, CR075 | ||||
References | [1], [2] | ||||
CR069 | Name | Gordian Knot 4 | |||
Designer | Manufacturer | Year | |||
Huso Taso | 2013 | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 2 | pair of loops | |||
Remarks | Variants: CR014, CR030, CR067, CR068, CR070, CR075 | ||||
References | [1] | ||||
CR070 | Name | Gordian Knot 6 | |||
Designer | Manufacturer | Year | |||
Huso Taso | 2013 | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 3 | pair of loops | |||
Remarks | Variants: CR014, CR030, CR067, CR068, CR069, CR075 | ||||
References | [1] | ||||
CR112 | Name | Gourd | |||
Designer | Manufacturer | Year | |||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 3 | rings | 5 | ||
Remarks | |||||
References | Reference Section [7] and [8] | ||||
CR118 | Name | Grydlock | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Robert Hilchie | Robert Hilchie | 1993 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 10 | slider | 3^{m/2}—1 | 242 | |
Remarks | The puzzle can be built with various slider shapes, leading to different mazes. Most of them are not n-ary, like the one shown in the pictures. Several puzzles have been implemented as online version (see reference [2]), an n-ary one has also has been implemented — please see reference [3], and for this the solution length and other details are provided here. | ||||
References | [1] (US Patent 5470065), [2], [3] | ||||
CR108 | Name | Happiness | |||
Designer | Manufacturer | Year | |||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 13 | rings | 364 | ||
Remarks | |||||
References | Reference Section [7] and [8] | ||||
CR043 | Name | Hanui | |||
Designer | Manufacturer | Year | |||
Yoshiyuki Kotani | 1994 | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 5 | U piece | 3^{m—1}·2^{i—1} | 242 | |
Remarks | Piece i not allowed on middle position; 242 moves for i=biggest piece | ||||
References | |||||
CR020 | Name | Hexadecimal Puzzle | |||
Designer | Manufacturer | Year | |||
William Keister | Binary Arts | 1970 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 8 | switch | Θ( 2^{m} ) | 170^{§} | |
Remarks | Binary and 170 move sequence for setting 1110; Variants: CR040, CR066 | ||||
References | [1] (US Patent 3637216), [2], [3] | ||||
CR040 | Name | Hexadecimal Puzzle Reproduction | |||
Designer | Manufacturer | Year | |||
William Keister | Bill Wylie | 2011 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 8 | switch | Θ( 2^{m} ) | 170^{§} | |
Remarks | Binary and 170 move sequence for setting 1110; Variants: CR020, CR066 | ||||
References | [1] (US Patent 3637216), [2], [3], [4] | ||||
CR066 | Name | Hexadecimal Puzzle 2013 | |||
Designer | Manufacturer | Year | |||
William Keister | Creative Crafthouse | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 8 | switch | Θ( 2^{m} ) | 170^{§} | |
Remarks | Binary and 170 move sequence for setting 1110; Variants: CR020, CR040 | ||||
References | [1] (US Patent 3637216), [2], [3], [4] | ||||
CR195 | Name | Jack-in-the-Box | |||
Designer | Manufacturer | Year | |||
Jack Krijnen | Jack Krijnen | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | wheel | |||
Remarks | From the description: It's sequential discovery, it's riddle solving, it's ternary and in the end it's challenging. | ||||
References | [1] | ||||
CR164 | Name | JUNC | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Jean-Claude Constantin | Jean-Claude Constantin | 2016 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 5 | slider pair | |||
Remarks | Goal is to move all light sliders down and all dark sliders left. By unlocking and removing the transparent lid, all little square pieces can be reoriented, allowing for 4^{25}≅10^{15} different challenges. Not all of these are possible as can be seen from the second picture, where a partial configuration is shown with the two top-left slider pairs blocking each other, unable to move. While the first picture shows the simple standard configuration of the puzzle, the third one shows one adapted from the N522 puzzle (CR087), with nontrivial solution and polynomial solution length. The letters of the name depict the various configurations of the small squares. | ||||
References | [1] | ||||
CR049 | Name | Junk's Hanoi | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Junk Kato | |||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 5 | block | Θ( 3^{m} ) | 161 | |
Remarks | Variation: Israelogi by ThinkinGames / Ili Kaufmann. The image shows a different version created by Dirk Weber. | ||||
References | [1], [2] | ||||
CR053 | Name | K-323 | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Kim Klobucher | Kim Klobucher | 2010 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 6 | block | 323 | ||
Remarks | Variants: CR016, CR038 | ||||
References | [1], [2] | ||||
CR038 | Name | K-419 | |||
Designer | Manufacturer | Year | |||
Kim Klobucher | Kim Klobucher | 2010 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
4 | 6 | block | 419 | ||
Remarks | Variants: CR016, CR053 | ||||
References | [1], [2] | ||||
CR017 | Name | King-CUBI | |||
Designer | Manufacturer | Year | |||
Hiroshi Iwahara | Hiroshi Iwahara | 2010 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
4 | 6 | panel | 1536 | ||
Remarks | |||||
References | [1] | ||||
CR051 | Name | Kugellager | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2009 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
5 | 4 | ball | 2·5^{m} | 1250 | |
Remarks | Variants: CR027, CR028 | ||||
References | [1] | ||||
CR028 | Name | Kugellager 7 | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2010 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
7 | 4 | rivet | 2·7^{m} | 4802 | |
Remarks | Variants: CR027, CR051 | ||||
References | [1] | ||||
CR027 | Name | Kugellager 8 | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2010 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
5 | 4 | ball | 2·5^{m} | 1250 | |
Remarks | Smaller Version and upside-down to original Kugellager; AKA: Kugellager 2; Variants: CR028, CR051 | ||||
References | [1] | ||||
CR088 | Name | Labynary | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Jean-Claude Constantin | Jean-Claude Constantin | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 4 | slider pair+switches | |||
Remarks | Beside the 8 main sliders, the puzzle contains several other smaller sliders for the interaction between the 8 main sliders. Additionally, there is a small ball and a ball maze in this puzzle, and the goal is to get the ball out at one of the three maze exits. The maze is also part of the sliders (see second image) and therefore the binary character only holds for the basic puzzle, without the ball. | ||||
References | [1] | ||||
CR029 | Name | Left-Right Chinese Rings | |||
Designer | Manufacturer | Year | |||
Jan Sturm | |||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 9 | ring | |||
Remarks | |||||
References | [1] | ||||
CR078 | Name | Lego Ternary Gray Code Puzzle | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Adin Townsend | Adin Townsend | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 6 | lever | 3·(2^{m}—1)—2·m | 177 | |
Remarks | Lego variant/implementation of CR010. Second picture shows the three different piece states, with one moved out to the right already. Second reference links to building instructions created by Jeremy Rayner; the puzzle can be built with the pieces of a Mindstorms NXT set, but slight modifications might be necessary depending on the actual piece set. | ||||
References | [1], [2] | ||||
CR100 | Name | Lock | |||
Designer | Manufacturer | Year | |||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 5 | rings | 23 | ||
Remarks | extra ring for symmetry | ||||
References | Reference Section [7] and [8] | ||||
CR130 | Name | Lock 14 | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 3 | slider+ball | |||
Remarks | First shackle part has ternary sequence, second part additional trick. Mechanism is like in CR064; AKA: Alphalock | ||||
References | [1] | ||||
CR037 | Name | Lock 250+ | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2010 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
6 | 4 | slider | Θ( 5^{m—1} ) | 310 | |
Remarks | Lowest (4th) ring piece has only 2 position and acts as slider, AKA: Big Sliding Lock, Schloss 250+; Variant: CR065 | ||||
References | [1] | ||||
CR102 | Name | Longevity | |||
Designer | Manufacturer | Year | |||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
5 | rings | 37 | |||
Remarks | extra rings for symmetry | ||||
References | Reference Section [7] and [8] | ||||
CR030 | Name | Loony Loop | |||
Designer | Manufacturer | Year | |||
Trolbourne Ltd | 1975 | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 2 | pair of loops | |||
Remarks | Variants: CR014, CR067, CR068, CR069, CR070, CR075 | ||||
References | [1] (US Patent 2091191), [2] (US Patent D0172310), [3], [4] | ||||
CR196 | Name | Loopary Branch | |||
Designer | Manufacturer | Year | |||
Namick Salakhov | Namick Salakhov | 2018 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 7 | loop | Θ( 2^{m} ) | 127 | |
Remarks | The linear structure is bent into U shape. In the IPP38 Design Competition it participated as part of "Loopy Lattice Puzzles"; other puzzles from the same series: CR197, CR198 | ||||
References | [1], [2] | ||||
CR008 | Name | Magnetic Tower of Hanoi | |||
Designer | Manufacturer | Year | |||
Uri Levy | 2009 | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 5 | disc | Θ( 3^{m} ) | 83 | |
Remarks | |||||
References | [1], [2] | ||||
CR111 | Name | Mandarin Duck | |||
Designer | Manufacturer | Year | |||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 15 | rings | 3287 | ||
Remarks | |||||
References | Reference Section [7] and [8] | ||||
CR099 | Name | Maze | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 5 | rings | 24 | ||
Remarks | The first picture shows "Rat Race" by Puzzlemaster | ||||
References | [1]; Reference Section [7] and [8] | ||||
CR162 | Name | Mechanic CUBI | |||
Designer | Manufacturer | Year | |||
Akio Kamei | Akio Kamei | 2005 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | panel | 2^{m—1} | 32 | |
Remarks | Variants: CR048, CR056. Mechanism is completely made out of wood, no metal (pins) used. Kamei also included a second alternate solution with a shortcut, which will only work at the beginning of the usual sequence, and is a couple of moves only. | ||||
References | [1], [2] | ||||
CR077 | Name | Meiro Maze Variant | |||
Designer | Manufacturer | Year | |||
Fujita | |||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 3 | pair of loops | |||
Remarks | First goal is to remove the coin, second the whole thread from the metal part. Both challenges are the same ternary puzzle repeated, but for releasing the coin additional restrictions exist. This seems to be a variant of the Meiro Maze shown in reference 2. | ||||
References | [1], [2] | ||||
CR167 | Name | Merry-go-round | |||
[1] [2] [3] [4] |
Designer | Manufacturer | Year | ||
Jack Krijnen, Goh Pit Khiam | Jack Krijnen | 2016 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
6 | 6 | burr sticks | 13432 | ||
Remarks | Variants: CR126, CR136; This puzzle is a further developed variant of the original Power Tower, and as such it also comes as a whole set of pieces. With these pieces coming as 2-ary, 3-ary, 4-ary, 5-ary, and 6-ary (in the version shown in the pictures), different configurations can be created. There is a special binary piece as a key piece that is part of all configurations as top piece. Therefore, there are 6 slots and 5 of each piece arity (only 2 for 6-ary). Reducing the massive block to a slim tower allows pieces of different length and theoretically in arbitary arity without changing the central tower or other pieces. In the pictures, different examples are shown: 3 binary pieces (solved), 6 binary pieces (solved), one of each kind (mid-solution). While the Power Tower has pairs of mirror-symmetric pieces, here all pieces of same arity are the same and have to be entered in a helical pattern. While the sequences for even and odd arity pieces differ especially at the beginning, they are the same in this puzzle. Goal is to choose a configuration, enter the pieces into the tower, and slide them until they are all flush with the tower side on one end. The maximum number of moves for the puzzle in the picture is 13432, with pieces: (2*, 5, 5, 5, 6, 6). | ||||
References | [1] | ||||
CR139 | Name | Mini Num Lock (binary) | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Goh Pit Khiam | Jack Krijnen | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 4 | slider | |||
Remarks | Variants: CR125 and CR176; the second picture shows three different even and odd base variants: bases 2, 3, and 4. The ternary one is the cross referenced Num Lock in this puzzle list. | ||||
References | reference section [12] | ||||
CR180 | Name | MiSenary Puzzle Box | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Michel van Ipenburg | Michel van Ipenburg | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
7 | 2 | slider | Θ( 7^{m} ) | ||
Remarks | The object is to open the box, by tilting it to the left and right, while pulling/pushing the lid. The puzzle was entered into the 2017 IPP Nob Yoshigahara Puzzle Design Competition. | ||||
References | [1], [2] | ||||
CR149 | Name | MixTer-MaxTer | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Namick Salakhov | Namick Salakhov | 2015 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 8 | slider | Θ( 3^{m} ) | 342 | |
Remarks | One of a whole puzzle family, with different number of sliders, disks, and arities. CR143 is a simpler variant. The goal of MinTer-MaxTer is to move the sliders from the outer discs with two slots to the outer disc with 8 slots and collect them there. | ||||
References | [1], [2] | ||||
CR016 | Name | MMMDXLVI | |||
Designer | Manufacturer | Year | |||
Kim Klobucher | Kim Klobucher | 2010 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
4 | 9 | block | 3546 | ||
Remarks | Variants: CR038, CR053 | ||||
References | [1], [2], [3] | ||||
CR171 | Name | Mountain Trail | |||
Designer | Manufacturer | Year | |||
DDK, Aaron (Yulong) Wang | Aaron (Yulong) Wang | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 9 | rings+connectors | |||
Remarks | Main binary chinese rings chain, with three additional binary chains of 2 rings each, attached to rings 5, 7, and 9. These are interwoven with the main chain, leading to ternay subsequences, with some quaternary positions, where two subchains meet. Of each of those additional sequences, there is always only one of the two rings on the main loop. This is one of six puzzles in the Chinese 99-ring series. | ||||
References | [1] | ||||
CR193 | Name | Mountain Trail II | |||
Designer | Manufacturer | Year | |||
DDK, Aaron (Yulong) Wang | Aaron (Yulong) Wang | 2018 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 9 | rings+connectors | |||
Remarks | This one is based on a main binary chinese rings chain, with an additional chain of 3 rings starting under the 5th and 8th ring. Unlike CR171, these additional chains are not rings linked directly with each other, but each ring is connected to one of the vertical bars via a smaller ring. In the starting position, these look like linked chains, during the solve, the chains act like secondary chinese rings chains, and therefore also multiple rings of the same secondary chain will be on the main bar at the same time, especially when one of them is put on/off the main bar. While the overall structure of the chains is binary, each of the four possibilities for each ring pair of ring on/off the handle (on/on, on/off, off/on, off/off) occurs and this puzzle could also partially be classified as a quarternary puzzle. For each pair of primary and secondary ring, putting on/off each of the rings of the pair requires a traversal of the lower rings sequence, making it a quite long solution sequence, adding up all these binary sequences. From the solution standpoint it might therefore also be classified as being partially ternary, and probably this is the main influence on the solution length. This is a later puzzle of the Chinese 99-ring series. | ||||
References | [1] | ||||
CR033 | Name | Mysterians | |||
Designer | Manufacturer | Year | |||
Oskar van Deventer | George Miller | 2002 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
5 | 3 | plate | 5^{m}—1 | 124 | |
Remarks | |||||
References | [1], [2], [3] | ||||
CR131 | Name | N5 | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 2 | slider-pair | 20 | ||
Remarks | Variants: CR087, CR132,CR133; Beside ternary sliders in two orientations, there is a simple ball maze built into the left end of the sliders and the ball is to move from bottom to top as goal, while the moving sliders obstruct and open some of the maze parts. The second picture shows the position in which the maze is usable; only the first slider has to be moved up and down while the ball traverses the maze. The number of moves is for putting all sliders up/to the right (calculcated with Burr-Tools, see second reference), with one additional move of the left slider to remove the ball, totalling 21. | ||||
References | [1], [2] | ||||
CR132 | Name | N52 | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 3 | slider-pair | 68 | ||
Remarks | Variants: CR087, CR131,CR133; Beside ternary sliders in two orientations, there is a simple ball maze built into the left end of the sliders and the ball is to move from bottom to top as goal, while the moving sliders obstruct and open some of the maze parts. The second picture shows the position in which the maze is usable; only the first slider has to be moved up and down while the ball traverses the maze. The number of moves is for putting all sliders up/to the right (calculcated with Burr-Tools, see second reference), with three additional moves of the left slider to remove the ball, totalling 71. | ||||
References | [1], [2] | ||||
CR087 | Name | N522 | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Jean-Claude Constantin | Jean-Claude Constantin | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | slider-pair | 212 | ||
Remarks | AKA: "522"; Variants: CR131, CR132,CR133; Beside ternary sliders in two orientations, there is a simple ball maze built into the left end of the sliders and the ball is to move from bottom to top as goal, while the moving sliders obstruct and open some of the maze parts. The second picture shows the position in which the maze is usable; only the first slider has to be moved up and down while the ball traverses the maze. The number of moves is for putting all sliders up/to the right (calculcated with Burr-Tools, see second reference), with five additional moves of the left slider to remove the ball, totalling 217. This is the first model of the series. Physically built have been all versions from 2+2 to 10+10 sliders, and some are presented on this page. | ||||
References | [1], [2] | ||||
CR133 | Name | N522222222 | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 10 | slider-pair | |||
Remarks | Variants: CR087, CR131,CR133; Beside ternary sliders in two orientations, there is a simple ball maze built into the left end of the sliders and the ball is to move from bottom to top as goal, while the moving sliders obstruct and open some of the maze parts. The second picture shows the position in which the maze is usable; only the first slider has to be moved up and down while the ball traverses the maze. Number of moves yet to be determined. This is the biggest of the series actually built. | ||||
References | [1] | ||||
CR116 | Name | New Puzzle Rings 3 | |||
Designer | Manufacturer | Year | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 3 | ring | |||
Remarks | Variant: CR117 | ||||
References | [1] | ||||
CR117 | Name | New Puzzle Rings 5 | |||
Designer | Manufacturer | Year | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 5 | ring | |||
Remarks | Variant: CR116 | ||||
References | [1] | ||||
CR187 | Name | New Secret Box IV | |||
Designer | Manufacturer | Year | |||
Akio Kamei | Karakuri Creation Group | 2018 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | panel | 2^{m—1} | 32 | |
Remarks | Variants: CR048, CR056, CR162. Mechanism is completely made out of wood, no metal (pins) used. | ||||
References | [1], [2] | ||||
CR106 | Name | Nine Twists | |||
Designer | Manufacturer | Year | |||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 5 | rings | |||
Remarks | |||||
References | Reference Section [7] and [8] | ||||
CR179 | Name | No Full Pirouette! | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Namick Salakhov | Namick Salakhov | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
4 | 6 | module | 61 | ||
Remarks | Starting position is with all green arrows pointing to the green rectangle (right). Goal is to turn all the elements on the modules with the blue arrows pointing right. There are dead ends and it is not always immediately obvious which move should be the next one. The modules have arities (left to right): 4,3,3,2,3,2. The puzzle won a Jury First Prize in the 2017 IPP Nob Yoshigahara Puzzle Design Competition. The name is based on the following little anecdote relating to the movement of the pieces: The teacher-choreographer of ballet school gathered the students of various classes near the bar and tried to arrange a new divertissement with pirouette as the main element of group dance in a limited area. He ordered to make pirouette one by one to avoid collisions. But it was impossible in limited space to do that. The lesson failed. Somebody suggested asking the math teacher to help. Luckily the mathematics was passing near and was interested in assigned task. After some measuring, he proposed a scenario and exclaimed: One by one spin back and forth and no full pirouette! | ||||
References | [1], [2] | ||||
CR125 | Name | Num Lock | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Goh Pit Khiam | Tom Lensch | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | sliders | 16 (3^{m—2}) —1 ^{‡} | 143^{‡} | |
Remarks | Variants: CR139 and CR176 | ||||
References | [1], [2], reference section [12] | ||||
CR176 | Name | Num Lock (mixed bases) | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Goh Pit Khiam | Johan Heyns | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
9 | 9 | sliders | 4 n_{0}··· n_{m—1}(n_{m}+1) —1 ^{‡} | 50009399^{‡} | |
Remarks | Variants: CR125 and CR139. The first piece shows the puzzle on the stand with 9 sliders entered and one of each arity 3, 5, 7, and 9 coming with the set, and some sheets listing number of moves for certain configurations. Those sheets are based on above formula involving the base/arity n_{m} of the leftmost piece and the product n_{0}··· n_{m—1} of the arities of the other pieces, regardless of their order. The second picture shows the puzzle with 9 sliders and all 16 knobs in two rows. The third picture shows all pieces of the set, including the leftmost pieces (called "starting block") for each arity, and the common piece. There are following piece counts: 3-ary: 7+1 (1 block attached), 5-ary: 4+1 (2 blocks), 7-ary: 3+1 (3 blocks), 9-ary: 3+1 (1 blocks), 1 common piece, 16 knobs. The reset and piece number selection mechanism has not been shown in the pictures, as finding this is an extra puzzle posed by Johan. | ||||
References | [1], reference section [12] | ||||
CR151 | Name | Oh Sh*t! Puzzle | |||
Designer | Manufacturer | Year | |||
Woodenworks | |||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 8 | loop | Θ( 2^{m} ) | ||
Remarks | Variants: CR032, CR145 | ||||
References | |||||
CR107 | Name | Pagoda | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 9 | rings | 397 | ||
Remarks | The third picture shows the simpler variant "Tree Puzzle" by Puzzlemaster | ||||
References | [1]; Reference Section [7] and [8] | ||||
CR009 | Name | Panex Gold | |||
Designer | Manufacturer | Year | |||
Toshio Akanuma | TRICKS | 1983 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 20 | slider | 31537 | ||
Remarks | Variant: CR035. Goal is to slide the pieces (without turning) to exchange the left and right stacks. | ||||
References | [1], [2], [3] | ||||
CR035 | Name | Panex Silver | |||
Designer | Manufacturer | Year | |||
Toshio Akanuma | TRICKS | 1983 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 20 | slider | 31537 | ||
Remarks | Variant: CR009. Goal is to slide the pieces (without turning) to exchange the left and right stacks. | ||||
References | [1], [2] | ||||
CR128 | Name | Panex Squared | |||
Designer | Manufacturer | Year | |||
John Haché | John Haché | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 12 | slider | 68 | ||
Remarks | Variant of CR035 which includes overlapping and interacting Panex instances. As the original design was not solvable (as discovered by Bob Hearn), this puzzle has to be modified by removing the blocking mechanism in the center. Goals are: 1) to swap pieces horizontally (e.g. A and B), and 2) swap pieces vertically (e.g. A and C), obeying the Panex rules, i.e.: in the vertical grooves, no smaller piece can be below (i.e. closer to the center) than a larger piece, same for the horizontal grooves (no larger piece closer to the center, but for both sides of the groove). This modification was proposed by Diniar Namdarian in 2015. The solutions provided have 46 moves for swapping A and B, and 68 moves for swapping A and C. | ||||
References | [1] | ||||
CR113 | Name | Pear | |||
Designer | Manufacturer | Year | |||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 7 | rings | 62 | ||
Remarks | |||||
References | Reference Section [7] and [8] | ||||
CR036 | Name | Pharaoh's Dilemma | |||
Designer | Manufacturer | Year | |||
Mag Nif | 1970 | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 6 | disc | |||
Remarks | Tower of Hanoi variant | ||||
References | [1] | ||||
CR109 | Name | Phoenix | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 16 | rings | 502 | ||
Remarks | |||||
References | Reference Section [7] and [8] | ||||
CR119 | Name | Pin Burr 2 | |||
[1] [2] [3] [4] |
Designer | Manufacturer | Year | ||
Jerry McFarland | Jerry McFarland | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 4 | burr pieces | Θ( 2^{m} ) | 38^{§}^{‡} | |
Remarks | Binary sequence, which is non-GC based and uses a pin-maze-mechanism, a little trick was added corrupting the sequence and making it more interesting for the solver. The third picture shows the prototype, which has a simpler frame but same sequence, the last picture shows both puzzles. | ||||
References | [1] | ||||
CR186 | Name | Planex | |||
Designer | Manufacturer | Year | |||
Goh Pit Khiam | JL Puzzles (Jerry Loo) | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 6 | sliding block | 42 | ||
Remarks | Variant: CR035, CR009. This puzzle is basically a Panex puzzle with only 3 levels (6 pieces) instead of the 10 levels (20 pieces) of the Panex puzzles. Goal is to slide the pieces (without turning) to exchange the yellow and blue stacks. | ||||
References | [1] | ||||
CR126 | Name | Power Tower | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Jack Krijnen, Goh Pit Khiam | Jack Krijnen | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | burr sticks | 3^{m}—m—1 ^{‡} | 76^{‡} | |
Remarks | Variants: CR136, CR167 | ||||
References | [1], reference section [12] | ||||
CR136 | Name | Power Tower (mixed base — variable stage) | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Jack Krijnen, Goh Pit Khiam | Jack Krijnen | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
5 | 6 | burr sticks | 2·(n^{m}—1)/(n—1)—m | 7806 | |
Remarks | Variants: CR126, CR167; This Power Tower is a whole set with a block hosting up to 6 stages, a blocker piece to set the number of stages (between 3 and 5, 6 stages without blocker), and a set of pieces for each of the two orientations (two different woods). The pieces come in binary, ternary, and quaternary shape and can be combined arbitrarily, leading to mixed (or uniform) base sequences, which can be quite confusing. There are 1080 different possibilities, with the level varying from 11 to 2724. The solution length is for a uniform n-ary configuration with m pieces. Addition: This now includes an extension set of quinary pieces. The overall entry now contains these pieces and there are now solutions possible up to level 7806.The second picture shows this extension set. | ||||
References | [1], reference section [12] | ||||
CR141 | Name | Power Box | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Goh Pit Khiam | Jack Krijnen | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | panels | |||
Remarks | |||||
References | reference section [12] | ||||
CR032 | Name | Puzzle H | |||
Designer | Manufacturer | Year | |||
Eureka 3D Puzzles | 1997 | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 5 | loop | Θ( 2^{m} ) | ||
Remarks | Variant: CR145 | ||||
References | [1] | ||||
CR004 | Name | PyraCircle | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2008 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 10 | block | 116 | ||
Remarks | Variation of Panex, a non-disjoint union of several such puzzles; 116 is minimum number of moves | ||||
References | [1] | ||||
CR197 | Name | Quadrupled Quadlooplet | |||
Designer | Manufacturer | Year | |||
Namick Salakhov | Namick Salakhov | 2018 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
5 | 4 | loop | 3^{m} | 81 | |
Remarks | This puzzle contains multiple challenges, i.e. starting configurations of the loop: adjacent compartments or opposite compartments. The whole puzzle consists of four modules/sectors with four loops each. During the solution sequence, the loop bend will traverse through multiple sectors/modules. The solution works in several stages: First, remove one of the bends from the puzzle (steps 1 to 41), and then only one bend will be caught in the puzzle center. Then in the second stage, remove the other bend, which may be accomplished in several ways. Move the free bend into the puzzle via a different path so that both bends meet at the end and the rope can be pulled out, or remove the second bend like the first one before. The configuration vector will denote the position of the rope (bend) in the compartments defined by the layers of loops, counting them from innermost to outermost.During the solution, the rope will go through at most one of them at each time, leading to configurations of 0 to 4 (number of sectors/modules). The solution does not make use of all combinations, leading to a ternary solution path length. Other puzzles from the same series: CR196, CR198 | ||||
References | [1], [2] | ||||
CR082 | Name | Quatro | |||
Designer | Manufacturer | Year | |||
Eric Johansson | Eureka 3D Puzzles | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 4 | loop | Θ( 2^{m} ) | 7 | |
Remarks | One of the solutions (reference 2) acts like Chinese Rings, please see reference 3. There are also other solutions. | ||||
References | [1], [2], [3], [4] | ||||
CR148 | Name | Racktangle | |||
Designer | Manufacturer | Year | |||
Goh Pit Khiam | Tom Lensch | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | plate | |||
Remarks | Variable number of stages (1 to 4, box is built modular) and plates of base 2 and 3 included, which together with the solid plate for the lowest position, can be used to create all mixed base 2 and 3 puzzles for up to 4 stages. | ||||
References | [1], [2], reference section [12] | ||||
CR093 | Name | Railing with Draining ternary | |||
[1] [2] [3] [4] [5] |
Designer | Manufacturer | Year | ||
Namick Salakhov | Namick Salakhov | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 5 | slider | |||
Remarks | |||||
References | [1] | ||||
CR173 | Name | Reflection | |||
Designer | Manufacturer | Year | |||
DDK | Aaron (Yulong) Wang | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
4 | 9 | pairs of rings | |||
Remarks | Variation directly created from Chinese Rings by attaching a small connector ring and a second bigger ring to each ring, below the first and around the same vertical rod. There are four states for each ring pair: main bar through lower ring (initial position), through upper ring, through both rings ("double ring"), and off the rings. All those appear in the solution, and the double ring configuration is used to mimic the classic binary chinese rings. The configurations with one ring on the loop appear exactly once in the solution sequence, and their transitions interrupt the binary sequence in a regular pattern and increase the number of moves considerably. This is one of six puzzles in the Chinese 99-ring series. | ||||
References | [1] | ||||
CR155 | Name | ReTern Key | |||
Designer | Manufacturer | Year | |||
Goh Pit Khiam | Charlie Rayner | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | slider | 8 · 3^{m—1}—8·m+1 | 185 | |
Remarks | The full name is "The Return of Tern Key" and demonstrates a variant of CR125 without a long synchronizing slider piece. Variant: CR168 | ||||
References | reference section [12], [1] | ||||
CR168 | Name | ReTern Key with circular pieces | |||
Designer | Manufacturer | Year | |||
Fredrik Stridsman | Fredrik Stridsman | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | slider | |||
Remarks | Variant: CR155. The ReTern Key was the base for this puzzle, and the designer replaced the groups of small pieces running on the sides of the puzzle for synchronization by circular pieces. | ||||
References | |||||
CR189 | Name | Reverse Chinese Rings | |||
Designer | Manufacturer | Year | |||
Aaron (Yulong) Wang | Aaron (Yulong) Wang | 2018 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 9 | ring pair+connector | Θ(m·2^{m}) | ||
Remarks | This puzzle looks like a chinese rings with all the rings put on the main handle backwards. At a closer look, each ring has a second ring attached at the bottom. To solve this puzzle, the bottom chain has to be solved like a standard chinese rings puzzle, and at the end of each run, one more ring from the reversed top chain comes off. While there are more than two states for each ring pair (4 states, each ring can be on or off the handle), the main sequence is binary, which is why it is classed binary here, and considered as chinese rings puzzle with some extensions. | ||||
References | [1] | ||||
CR021 | Name | Rings Bottle | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2012 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | ring | |||
Remarks | |||||
References | [1], [2] | ||||
CR041 | Name | Row to Row | |||
Designer | Manufacturer | Year | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 8 | disc | Θ( 2^{m} ) | ||
Remarks | |||||
References | [1] | ||||
CR007 | Name | Rudenko Clips | |||
Designer | Manufacturer | Year | |||
Valery Rudenko | Roscreative | 2011 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 7 | clip | ( 3^{m}—1 )/2 | 1093 | |
Remarks | Tower of Hanoi with move restriction | ||||
References | [1], [2], [3] | ||||
CR019 | Name | Rudenko Disc | |||
Designer | Manufacturer | Year | |||
Valery Rudenko | Roscreative | 2011 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 7 | disc | Θ( 2^{m} ) | ||
Remarks | Tower of Hanoi with simplification | ||||
References | [1], [2], [3] | ||||
CR044 | Name | Rudenko Matryoshka | |||
Designer | Manufacturer | Year | |||
Valery Rudenko | Roscreative | 2011 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 7 | slider | Θ( 2^{m} ) | ||
Remarks | Tower of Hanoi equivalent | ||||
References | [1], [2], [3] | ||||
CR086 | Name | Seestern | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
11 | 3 | Layers | 11^{m}—1 | 1330 | |
Remarks | |||||
References | [1] | ||||
CR190 | Name | Second Order Chinese Rings | |||
Designer | Manufacturer | Year | |||
Aaron (Yulong) Wang | Aaron (Yulong) Wang | 2018 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 11 | rings | |||
Remarks | While the rings in the classic Chinese Rings puzzle are linking their connector with the next connector each, in this one, each ring links its connector with the next two adjacent connectors. The solution is based on the Chinese Rings solution, and is in fact the same sequence like for the Dispersed GC lock CR074 | ||||
References | [1] | ||||
CR001 | Name | Short Big Sliding Lock | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Jean-Claude Constantin | Jean-Claude Constantin | 2009 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
5 | 3 | slider | 2·5^{m} | 250 | |
Remarks | AKA: Kleines dickes Schloss, Voidlock | ||||
References | [1] | ||||
CR064 | Name | Six Bottles | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 6 | slider+ball | 4·(2^{m}—1) | 252 | |
Remarks | Each metal ball can be in a top-left, bottom-left, or a bottom-right position, and there are corresponding slider positions middle and top. The bottom slider position occurs only during transition of ball between left and right. A newer circular version replacing balls by switches is: CR083 | ||||
References | [1] | ||||
CR011 | Name | Sliding-Block Chinese Rings-style Puzzle | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Bob Hearn | 2008 | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 3 | pair of yellow blocks | |||
Remarks | The second picture shows the different position of the special pieces, the pairs of yellow blocks in positions 0, 1, and 2. There are other positions not part of the solution. Recently, we found a shorter, non-ternary solution that was not intended, with goal configuration in third picture; under investigation. | ||||
References | [1], [2] | ||||
CR142 | Name | Slots and Pins (mixed base) | |||
Designer | Manufacturer | Year | |||
Goh Pit Khiam | Jack Krijnen | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 5 | slider | |||
Remarks | This version has mixed bases, i.e. binary and ternary pieces/piece parts. | ||||
References | reference section [12] | ||||
CR048 | Name | Small CUBI | |||
Designer | Manufacturer | Year | |||
Akio Kamei | Akio Kamei | 2010 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | panel | 2^{m—1} | 32 | |
Remarks | Variants: CR056, CR162. Mechanism is completely made out of wood, no metal (pins) used. | ||||
References | [1], [2] | ||||
CR022 | Name | SpinOut | |||
Designer | Manufacturer | Year | |||
William Keister | Binary Arts | 1970 / 2006 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 7 | disc | [2^{m+1}/3] ^{§} | 85 ^{§} | |
Remarks | Version with elephants and reset shortcut, green/red/orange. There exists an unintended shortcut solution with 49 moves (see Jaaps's page below). Variants: CR026, CR050 | ||||
References | Variation on [1] (US Patent 3637215), [2], [3], [4], [5] | ||||
CR050 | Name | SpinOut | |||
[1] [2] |
Designer | Manufacturer | Year | ||
William Keister | Binary Arts | 1970 / 1987 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 7 | disc | [2^{m+1}/3] ^{§} | 85 ^{§} | |
Remarks | There exists an unintended shortcut solution with 49 moves (see Jaaps's page below). The second picture shows an unknown mini variant with rule scales in cm and inch, and inscription "PAT NO 23596" on the back side; Variants: CR022, CR026 | ||||
References | [1] (US Patent 3637215), [2], [3], [4], [5] | ||||
CR026 | Name | SpinOut | |||
Designer | Manufacturer | Year | |||
William Keister | ThinkFun | 1970 / 2001 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 7 | disc | [2^{m+1}/3] ^{§} | 85 ^{§} | |
Remarks | reset shortcut. There exists an unintended shortcut solution with 49 moves (see Jaaps's page below); Variants: CR022, CR050 | ||||
References | [1] (US Patent 3637215), [2], [3], [4] | ||||
CR084 | Name | Spiralschloss | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | shackle-layer | 2·(n^{m}—1) | 160 | |
Remarks | Mechanism similar to CR085. Goal: Open all shackle-layers completely. | ||||
References | [1] | ||||
CR083 | Name | Steuerrad | |||
Designer | Manufacturer | Year | |||
Jean-Claude Constantin | Jean-Claude Constantin | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 8 | slider+switch | 3·2^{m} | 768 | |
Remarks | Round variant of CR064. Goal: Move all handles to the outer position and reveal hidden message "Nicht durchdrehen", German for "do not get mad" and also referring to turning the steering wheel (German: Steuerrad) | ||||
References | [1] | ||||
CR025 | Name | Super-CUBI | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Hiroshi Iwahara | Hiroshi Iwahara | 2000 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 6 | panel | 324 | ||
Remarks | First image shows newer version (opposite panels following in solution), second and third the older version (panels following in 90° turn order); Variant: CR165 | ||||
References | [1] | ||||
CR165 | Name | Super-CUBI (small) | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Hiroshi Iwahara | Hiroshi Iwahara | 2016 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 6 | panel | 324 | ||
Remarks | Smaller version of original Super-CUBI with adjacent panels moving on opposite sites. Comes with a solution leaflet showing all 324 moves, and additionally some instructions on how to calculate and identify the current configuration. Varaiant: CR025 | ||||
References | [1], [2] | ||||
CR104 | Name | Teapot | |||
Designer | Manufacturer | Year | |||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 5 | rings | 22 | ||
Remarks | |||||
References | Reference Section [7] and [8] | ||||
CR002 | Name | Tern Key | |||
Designer | Manufacturer | Year | |||
Goh Pit Khiam | Cubicdissection | 2009 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | switch | 12·(2^{m})—12·m—10 | 134 | |
Remarks | |||||
References | [1], [2], [3] | ||||
CR005 | Name | Ternary Burr | |||
Designer | Manufacturer | Year | |||
Goh Pit Khiam | Jack Krijnen | 2010 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | burr pieces | 6·2^{m}—4·m—5 ^{§}^{‡} | 75^{§}^{‡} | |
Remarks | Move count includes control bar; Variant with only two frame pieces; Variants: CR055, CR095 | ||||
References | [1] | ||||
CR055 | Name | Ternary Burr | |||
Designer | Manufacturer | Year | |||
Goh Pit Khiam | Mr. Puzzle | 2009 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | burr pieces | 6·2^{m}—4·m—5 ^{§}^{‡} | 75^{§}^{‡} | |
Remarks | Move count includes control bar; 95 moves for complete disassembly; Variants: CR005, CR095 | ||||
References | [1], [2], [3], [4], [5] | ||||
CR095 | Name | Ternary Burr | |||
Designer | Manufacturer | Year | |||
Goh Pit Khiam | Eric Fuller | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | burr pieces | 6·2^{m}—4·m—5 ^{§}^{‡} | 75^{§}^{‡} | |
Remarks | Move count includes control bar; 95 moves for complete disassembly; Variants: CR005, CR055 | ||||
References | [1], [2] | ||||
CR181 | Name | The Bell | |||
Designer | Manufacturer | Year | |||
Juergen Reiche | Siebenstein | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 12 | slider | 881 | ||
Remarks | Variant: CR035, CR009. This puzzle is basically a Panex puzzle with only 6 levels (12 pieces) instead of the 10 levels (20 pieces) of the Panex puzzles. | ||||
References | [1] | ||||
CR012 | Name | The Binary Burr | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Bill Cutler | Jerry McFarland | 2003 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | burr pieces | ( (-1)^{m+1} + 2^{m+2} ) / 3 ^{§}^{‡} | 85^{§}^{‡} | |
Remarks | Move count includes control bar; There is also a very rare 10 ring piece version, which is shown in the pictures; Variants: CR076, CR156 | ||||
References | [1] | ||||
CR076 | Name | The Binary Burr | |||
Designer | Manufacturer | Year | |||
Bill Cutler | Eric Fuller | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | burr pieces | ( (-1)^{m+1} + 2^{m+2} ) / 3 ^{§}^{‡} | 85^{§}^{‡} | |
Remarks | Move count includes control bar; Variants: CR012, CR156 | ||||
References | [1], [2] | ||||
CR156 | Name | The Binary Burr (small) | |||
[1] [2] [3] [4] [5] [6] [7] [8] [9] |
Designer | Manufacturer | Year | ||
Bill Cutler | Maurice Vigouroux | 2016 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 10 | burr pieces | ( (-1)^{m+1} + 2^{m+2} ) / 3 ^{§}^{‡} | 1385^{§}^{‡} | |
Remarks | Move count includes control bar; the first picture shows the whole group of the Binary Burrs (small) with 3 to 10 special pieces, all with solid cage, the other pictures show the individual puzzles; Variants: CR076, CR012 | ||||
References | [1], [2], [3], [4], [5], [6], [7], [8] | ||||
CR057 | Name | The Brain | |||
[1] [2] [3] [4] |
Designer | Manufacturer | Year | ||
Marvin H. Allison, Jr. | Mag-Nif | 1973 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 8 | switch | [2^{m+1}/3] | 170 | |
Remarks | Pictures 2, 3, and 4, and reference 2 show the newer version | ||||
References | [1], [2], [3], [4] | ||||
CR096 | Name | The Cat | |||
Designer | Manufacturer | Year | |||
William Keister | Binary Arts | 1985 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 2 | rings | |||
Remarks | |||||
References | [1] | ||||
CR097 | Name | The Horse | |||
Designer | Manufacturer | Year | |||
William Keister | Binary Arts | 1985 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 3 | rings | |||
Remarks | |||||
References | [1] | ||||
CR058 | Name | The Key | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Goh Pit Khiam | Walt Hoppe | 2004 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 4 | switch | 40 | ||
Remarks | Variant: CR063 | ||||
References | [1], [2] | ||||
CR191 | Name | Third Order Chinese Rings | |||
Designer | Manufacturer | Year | |||
Aaron (Yulong) Wang | Aaron (Yulong) Wang | 2018 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 13 | rings | |||
Remarks | While the rings in the classic Chinese Rings puzzle are linking their connector with the next connector each, in this one, each ring links its connector with the next three adjacent connectors. This is a logical extension of CR190. | ||||
References | [1] | ||||
CR062 | Name | Tower of Hanoi | |||
Designer | Manufacturer | Year | |||
Edouard Lucas | Philos (and others) | 1883 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 9 | disc | Θ( 2^{m} ) | ||
Remarks | |||||
References | [1], [2] | ||||
CR105 | Name | Trapeze | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 5 | rings | 61 | ||
Remarks | extra rings for symmetry; third picture shows puzzle Dingo Trap, a variant with the rings separated and held by smaller loops; reference [14] shows this variant including building instructions and solution | ||||
References | [1], [2]; [3] (US Patent 4497489) Reference Section [7], [8], and [14] (p.109) | ||||
CR144 | Name | Tricky Frame | |||
Designer | Manufacturer | Year | |||
Philos | |||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 3 | loop | Θ( 2^{m} ) | ||
Remarks | Variant: CR072 | ||||
References | [1] | ||||
CR145 | Name | Tricky Mouse | |||
Designer | Manufacturer | Year | |||
Philos | |||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 4 | loop | Θ( 2^{m} ) | ||
Remarks | Variant: CR032 | ||||
References | [1] | ||||
CR085 | Name | Uhrwerk | |||
[1] [2] |
Designer | Manufacturer | Year | ||
Jean-Claude Constantin | Jean-Claude Constantin | 2013 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | ball/gear | 2·(n^{m}—1) | 160 | |
Remarks | Mechanism similar to CR084. Goal: Move the one ball with the special starting position to its third hole and remove (only) this ball from puzzle. The two pictures show second (more stable) and first edition. | ||||
References | [1], [2] | ||||
CR138 | Name | Unknown Disentanglement | |||
Designer | Manufacturer | Year | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 3 | loops | |||
Remarks | Choosing one of the sides, the consecutive loops on that side will act like a Chinese Rings puzzle. All other loops are not part of the solution. | ||||
References | [1] | ||||
CR152 | Name | Viking Box | |||
Designer | Manufacturer | Year | |||
Sven Baeck, Jean-Claude Constantin | Jean-Claude Constantin | 2014 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 4 | switches | |||
Remarks | The basic mechanism of the box is a ternary mechanism consisting of discs with the switches attached and visible to the puzzler, and some ball bearings. These will move into some cutouts of the discs and block them in various positions, same general concept as in CR064. Additionally, there are two mechanisms interacting with several discs each: One visible as the bottom horizontal slider, the other hidden, but with its state visible through a small hole below the left disc. This mechanism and the ball bearings have to be manipulated via tilting. The lid contains the mechanism and is firmly closed. However, a second variant was released with a transparent top, allowing the puzzler to see most of the mechanism. | ||||
References | [1] | ||||
CR103 | Name | Wheel | |||
Designer | Manufacturer | Year | |||
Ruan Liuqi | Ingenious Rings | ||||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 5 | rings | 24 | ||
Remarks | |||||
References | Reference Section [7] and [8] | ||||
CR183 | Name | xBrain binary | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
David Guo | David Guo | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
2 | 6 | switch | [2^{m+1}/3] | 42 | |
Remarks | This puzzle is based on: CR057. Variants: CR184 and CR185. The second picure shows the goal configuration (all sliders moved to the border), and the third picture a different colour variant in a configuration during the solution. | ||||
References | [1] | ||||
CR184 | Name | xBrain ternary | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
David Guo | David Guo | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
3 | 6 | switch | 2·3^{m — 1} — 1 | 485 | |
Remarks | This puzzle is based on: CR057. Variants: CR183 and CR185. The second picure shows the goal configuration (all sliders moved to the border), and the third picture a different colour variant in a configuration during the solution. | ||||
References | [1] | ||||
CR185 | Name | xBrain quarternary | |||
[1] [2] [3] |
Designer | Manufacturer | Year | ||
David Guo | David Guo | 2017 | |||
Arity | No of pieces | Piece type | Solution length function | Number of moves | |
4 | 6 | switch | 0.1 · (—1)^{m} + 0.4 · 4^{m} — 0.5 | 1638 | |
Remarks | This puzzle is based on: CR057. Variants: CR183 and CR184. The second picure shows the goal configuration (all sliders moved to the border), and the third picture a different colour variant in a configuration during the solution. The solution length function for the number of moves f(m) is a solution of the recursion f(m) = 3f(m-1) + 4f(m-2) +3 with f(0)=0 and f(1)=1 derived from solving the puzzle with m pieces. | ||||
References | [1] | ||||