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86:, and shares the same piece count and mechanism. However, the triangular "corners" present on the Skewb have no visible orientation on the Skewb Diamond, and the square "centers" gain a visible orientation on the Skewb Diamond. In other words, the corners on the Skewb are equivalent to the centers on the Skewb diamond. Combining pieces from the two can either give you an unscrambleable
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The puzzle has 6 corner pieces and 8 face centers. The positions of four of the face centers is completely determined by the positions of the other 4 face centers, and only even permutations of such positions are possible, so the number of arrangements of face centers is only 4!/2. Each face center
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Only even permutations of the corner pieces are possible, so the number of possible arrangements of corner pieces is 6!/2. Each corner has two possible orientations (it is not possible to change their orientation by 90° without disassembling the puzzle), but the orientation of the last corner is
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The Skewb
Diamond has 6 octahedral corner pieces and 8 triangular face centers. All pieces can move relative to each other. It is a
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51:. It has 14 movable pieces which can be rearranged in a total of 138,240 possible combinations. This puzzle is the
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is mathematically equivalent to the latter case, but is shaped as a dodecahedron with two cuts per face.
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The purpose of the puzzle is to scramble its colors, and then restore it to its original solved state.
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determined by the other 5. Hence, the number of possible corner orientations is 2.
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179:{\displaystyle {\frac {4!\times 6!\times 2^{5}}{4}}=138,240.}
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117:Hence, the number of possible combinations is:
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94:with visible orientation on all pieces. The
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204:""Skewb Diamond" - Copyright J. A. Storer"
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63:, a German puzzle inventor and designer.
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974:1982 World Rubik's Cube Championship
16:Octahedron-shaped combination puzzle
968:The Simple Solution to Rubik's Cube
31:The Skewb Diamond, slightly twisted
1005:. You can help Knowledge (XXG) by
82:It is very closely related to the
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339:Rubik's family cubes of all sizes
989:
953:Rubik's Cube in popular culture
110:has only a single orientation.
92:compound of cube and octahedron
1:
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984:
916:Thistlethwaite's algorithm
243:Jaap's Skewb Diamond page
359:5×5×5 (Professor's Cube)
959:Rubik, the Amazing Cube
354:4×4×4 (Rubik's Revenge)
1001:-related article is a
937:World Cube Association
812:Anthony Michael Brooks
772:Krishnam Raju Gadiraju
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102:Number of combinations
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930:Official organization
584:Truncated icosahedron
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59:. It was invented by
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349:3×3×3 (Rubik's Cube)
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1057:Combination puzzles
624:Virtual combination
456:combination puzzles
418:combination puzzles
344:2×2×2 (Pocket Cube)
208:www.cs.brandeis.edu
1062:Mechanical puzzles
921:Rubik's Cube group
767:Prithveesh K. Bhat
691:Rubik's Revolution
566:Great dodecahedron
318:Oskar van Deventer
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77:planes of rotation
45:combination puzzle
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383:Variations of the
313:Panagiotis Verdes
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23:The Skewb Diamond
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946:Related articles
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797:David Singmaster
757:Shotaro Makisumi
732:Jessica Fridrich
710:Renowned solvers
626:puzzles (>3D)
574:Alexander's Star
528:Pyraminx Crystal
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402:Nine-Colour Cube
374:8×8×8 (V-Cube 8)
369:7×7×7 (V-Cube 7)
364:6×6×6 (V-Cube 6)
286:Puzzle inventors
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727:Bob Burton, Jr.
722:Édouard Chambon
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701:Rubik's Triamid
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53:dual polyhedron
47:similar to the
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876:Layer by Layer
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684:Master Edition
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648:Magic 120-cell
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533:Skewb Ultimate
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237:External links
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674:Rubik's Clock
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505:Skewb Diamond
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298:Larry Nichols
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88:cuboctahedron
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37:Skewb Diamond
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1007:expanding it
996:
966:
957:
853:Speedsolving
827:Collin Burns
782:Frank Morris
747:Rowe Hessler
664:Missing Link
515:Dodecahedron
504:
477:Pyraminx Duo
385:Rubik's Cube
279:Rubik's Cube
211:. Retrieved
207:
198:
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75:puzzle; its
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49:Rubik's Cube
36:
34:
899:Mathematics
881:CFOP method
860:Speedcubing
837:Mátyás Kuti
792:Gilles Roux
787:Lars Petrus
717:Yu Nakajima
669:Rubik's 360
657:Derivatives
643:MagicCube7D
638:MagicCube5D
633:MagicCube4D
551:Impossiball
543:Icosahedron
482:Pyramorphix
464:Tetrahedron
416:Other cubic
407:Sudoku Cube
308:Tony Fisher
303:Uwe Mèffert
79:bisect it.
67:Description
61:Uwe Mèffert
1046:Categories
742:Kevin Hays
497:Octahedron
487:BrainTwist
293:Ernő Rubik
213:2024-02-07
190:References
41:octahedron
1052:Toy stubs
911:Superflip
846:Solutions
817:Mats Valk
777:Tyson Mao
454:Non-cubic
445:Gear Cube
435:Dino Cube
397:Bump Cube
392:Void Cube
146:×
137:×
832:Max Park
762:Toby Mao
752:Leyan Lo
592:Tuttminx
523:Megaminx
472:Pyraminx
440:Square 1
334:Overview
225:See also
73:deep-cut
43:-shaped
886:Optimal
869:Methods
612:(2x3x3)
55:of the
602:Cuboid
39:is an
997:This
556:Dogic
430:Skewb
90:or a
84:Skewb
57:Skewb
1003:stub
174:240.
35:The
999:toy
168:138
1048::
206:.
1034:e
1027:t
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1009:.
271:e
264:t
257:v
216:.
171:,
165:=
160:4
154:5
150:2
143:!
140:6
134:!
131:4
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
