22:
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197:, by identifying corners with corners, and the Skewb's face centers with the Ultimate's edges. The solution of the Skewb can be used directly to solve the Skewb Ultimate. The only addition is that the edge pieces of the Skewb Ultimate are sensitive to orientation, and may require an additional algorithm to orient them after being placed correctly.
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orientation of the last corner is determined by the orientations of the other corners, so the number of possible corner orientations is 3. However, the orientations of four of the corners plus the position of one of the other corners determines the positions of the remaining three, so the total number of possible combinations of corners is only
189:
can be used to solve this puzzle, by identifying the
Diamond's face pieces with the Ultimate's corner pieces, and the Diamond's corner pieces with the Ultimate's edge pieces. The only additional trick here is that the Ultimate's corner pieces (equivalent to the Diamond's face pieces) are sensitive to
205:
The Skewb
Ultimate has six large "edge" pieces and eight smaller corner pieces. Only even permutations of the larger pieces are possible, giving 6!/2 possible arrangements. Each of them has two possible orientations, although the orientation of the last piece is determined by the orientations of the
209:
The positions of four of the smaller corner pieces depend on the positions of the other four corner pieces, and only even permutations of these positions are possible. Hence the number of arrangements of corner pieces is 4!/2. Each corner piece has three possible orientations, although the
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150:. Most versions of this puzzle are sold with six different colors of stickers attached, with opposite sides of the puzzle having the same color; however, some early versions of the puzzle have a full set of 12 colors.
177:
At first glance, the Skewb
Ultimate appears to be much more difficult to solve than the other Skewb puzzles, because of its uneven cuts which cause the pieces to move in a way that may seem irregular or strange.
166:, but cut differently. Each face is cut into four parts, two equal and two unequal. Each cut is a deep cut: it bisects the puzzle. This results in eight smaller corner pieces and six larger "edge" pieces.
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orientation, and so may require an additional algorithm for orienting them after being correctly placed.
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The object of the puzzle is to scramble the colors, and then restore them to the original configuration.
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Mathematically speaking, however, the Skewb
Ultimate has exactly the same structure as the
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339:{\displaystyle {\frac {6!\times 2^{5}\times 4!\times 3^{6}}{4}}=100,776,960.}
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Similarly, the Skewb
Ultimate is mathematically identical to the
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other pieces, hence giving a total of 2 possible orientations.
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258:Therefore, the number of possible combinations is:
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359:version of the puzzle with equivalent mechanism
130:Meffert's version of the 6-color Skewb Ultimate
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158:The Skewb Ultimate is made in the shape of a
142:, is a twelve-sided puzzle derivation of the
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248:{\displaystyle {\frac {4!\times 3^{6}}{2}}}
50:. Unsourced material may be challenged and
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114:Learn how and when to remove this message
7:
1128:1982 World Rubik's Cube Championship
48:adding citations to reliable sources
1122:The Simple Solution to Rubik's Cube
14:
493:Rubik's family cubes of all sizes
20:
1107:Rubik's Cube in popular culture
146:, produced by German toy-maker
1:
397:Twisty Puzzles Skewb Ultimate
138:, originally marketed as the
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1070:Thistlethwaite's algorithm
392:Jaap's Skewb Ultimate page
513:5×5×5 (Professor's Cube)
1113:Rubik, the Amazing Cube
508:4×4×4 (Rubik's Revenge)
185:. The solution for the
1091:World Cube Association
966:Anthony Michael Brooks
926:Krishnam Raju Gadiraju
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201:Number of combinations
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1084:Official organization
738:Truncated icosahedron
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503:3×3×3 (Rubik's Cube)
357:Rhombic dodecahedron
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44:improve this article
1154:Combination puzzles
778:Virtual combination
610:combination puzzles
572:combination puzzles
498:2×2×2 (Pocket Cube)
375:Combination puzzles
1149:Mechanical puzzles
1075:Rubik's Cube group
921:Prithveesh K. Bhat
845:Rubik's Revolution
720:Great dodecahedron
472:Oskar van Deventer
380:Mechanical puzzles
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1100:Related articles
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951:David Singmaster
911:Shotaro Makisumi
886:Jessica Fridrich
864:Renowned solvers
780:puzzles (>3D)
728:Alexander's Star
682:Pyraminx Crystal
614:
556:Nine-Colour Cube
528:8×8×8 (V-Cube 8)
523:7×7×7 (V-Cube 7)
518:6×6×6 (V-Cube 6)
440:Puzzle inventors
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1030:Layer by Layer
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452:Larry Nichols
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65: –
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59:Find sources:
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45:
39:
38:
34:
29:This article
27:
23:
18:
17:
1120:
1111:
1007:Speedsolving
981:Collin Burns
936:Frank Morris
901:Rowe Hessler
818:Missing Link
686:
669:Dodecahedron
631:Pyraminx Duo
539:Rubik's Cube
433:Rubik's Cube
348:
257:
208:
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160:dodecahedron
157:
139:
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58:
42:Please help
30:
1053:Mathematics
1035:CFOP method
1014:Speedcubing
991:Mátyás Kuti
946:Gilles Roux
941:Lars Petrus
871:Yu Nakajima
823:Rubik's 360
811:Derivatives
797:MagicCube7D
792:MagicCube5D
787:MagicCube4D
705:Impossiball
697:Icosahedron
636:Pyramorphix
618:Tetrahedron
570:Other cubic
561:Sudoku Cube
462:Tony Fisher
457:Uwe Mèffert
162:, like the
154:Description
148:Uwe Mèffert
1143:Categories
896:Kevin Hays
651:Octahedron
641:BrainTwist
447:Ernő Rubik
104:April 2019
74:newspapers
1065:Superflip
1000:Solutions
971:Mats Valk
931:Tyson Mao
608:Non-cubic
599:Gear Cube
589:Dino Cube
551:Bump Cube
546:Void Cube
300:×
291:×
278:×
227:×
173:Solutions
31:does not
986:Max Park
916:Toby Mao
906:Leyan Lo
746:Tuttminx
677:Megaminx
626:Pyraminx
594:Square 1
488:Overview
364:See also
164:Megaminx
1040:Optimal
1023:Methods
766:(2x3x3)
88:scholar
52:removed
37:sources
756:Cuboid
90:
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69:
61:
710:Dogic
584:Skewb
195:Skewb
144:Skewb
95:JSTOR
81:books
334:960.
134:The
67:news
35:any
33:cite
328:776
322:100
46:by
1145::
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425:e
418:t
411:v
331:,
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319:=
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102:(
92:·
85:·
78:·
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54:.
40:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
