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indistinguishable, the number of permutations of each set is reduced to 24!/(24) arrangements, all of which are possible. The reducing factor comes about because there are 24 (4!) ways to arrange the four pieces of a given color. This is raised to the sixth power because there are six colors. The total number of permutations of all movable centers is the product of the permutations of the two sets, 24!/(24).
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them make up the supporting frame and these have extensions which hold the rest of the pieces together. This allows smooth and fast rotation and created what was arguably the fastest and most durable version of the puzzle available at that time. Unlike the original 5×5×5 design, the V-Cube 5 mechanism was designed to allow
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can be flipped. Eleven can be flipped and arranged independently, giving 12!/2 × 2 or 12! × 2 possibilities (an odd permutation of the corners implies an odd permutation of the central edges, and vice versa, thus the division by 2). There are 24! × 12! × 2 possibilities for the inner and outer edges together.
386:
The Yau5 method is named after its proposer, Robert Yau. The method starts by solving the opposite centers (preferably white and yellow), then solving three cross edges (preferably white). Next, the remaining centers and last cross edge are solved. The last cross edge and the remaining unsolved edges
349:
Some variations of the cube have one of the center pieces marked with a logo, which can be put into four different orientations. This increases the number of permutations by a factor of four to 1.13×10, although any orientation of this piece could be regarded as correct. By comparison, the number of
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which groups the centers into one-colored blocks and grouping similar edge pieces into solid strips. This allows the cube to be quickly solved with the same methods one would use for a 3×3×3 cube, just a stretched out version. As illustrated to the right, the fixed centers, middle edges and corners
125:
The original
Professor's Cube design by Udo Krell works by using an expanded 3×3×3 cube as a mantle with the center edge pieces and corners sticking out from the spherical center of identical mechanism to the 3×3×3 cube. All non-central pieces have extensions that fit into slots on the outer pieces
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The 24 outer edges cannot be flipped due to the interior shape of those pieces. Corresponding outer edges are distinguishable, since the pieces are mirror images of each other. Any permutation of the outer edges is possible, including odd permutations, giving 24! arrangements. The 12 central edges
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Another frequently used strategy is to solve the edges and corners of the cube first, and the centers last. This method is referred to as the Cage method, so called because the centers appear to be in a cage after the solving of edges and corners. The corners can be placed just as they are in any
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There are 54 centers. Six of these (the center square of each face) are fixed in position. The rest consist of two sets of 24 centers. Within each set there are four centers of each color. Each set can be arranged in 24! different ways. Assuming that the four centers of each color in each set are
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The V-Cube 5 mechanism, designed by
Panagiotis Verdes, has elements in common with both. The corners reach to the center of the puzzle (like the original mechanism) and the center pieces hold the central edges in place (like the Eastsheen mechanism). The middle edges and center pieces adjacent to
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The
Eastsheen version of the puzzle uses a different mechanism. The fixed centers hold the centers next to the central edges in place, which in turn hold the outer edges. The non-central edges hold the corners in place, and the internal sections of the corner pieces do not reach the center of the
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were marketed under the name "Professor's Cube" but currently, Barnes and Noble sells cubes that are simply called "5×5 Cube." Mefferts.com used to sell a limited edition version of the 5×5×5 cube called the
Professor's Cube. This version had colored tiles rather than stickers. Verdes Innovations
402:
ABCube Method is a direct solve method originated by Sandra
Workman in 2020. It is geared to complete beginners and non-cubers. It is similar in order of operation to the Cage Method, but differs functionally in that it is mostly visual and eliminates the standardized notation. It works on all
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A less frequently used strategy is to solve one side and one layer first, then the 2nd, 3rd and 4th layer, and finally the last side and layer. This method is referred to as Layer-by-Layer. This resembles CFOP, a well known technique used for the 3x3
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The original
Professor's Cube is inherently more delicate than the 3×3×3 Rubik's Cube because of the much greater number of moving parts and pieces. Because of its fragile design, the Rubik's brand Professor's Cube is not suitable for
197:. Applying excessive force to the cube when twisting it may result in broken pieces. Both the Eastsheen 5×5×5 and the V-Cube 5 are designed with different mechanisms in an attempt to remedy the fragility of the original design.
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of the 3×3×3, which keeps them from falling out of the cube while making a turn. The fixed centers have two sections (one visible, one hidden) which can turn independently. This feature is unique to the original design.
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can be treated as equivalent to a 3×3×3 cube. As a result, once reduction is complete the parity errors sometimes seen on the 4×4×4 cannot occur on the 5×5×5, or any cube with an odd number of layers.
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complexity of cubes, from 2x2x2 through big cubes (nxnxn) and only utilizes two easy to remember algorithms; one four twists, the other eight twists, and it eliminates long parity algorithms.
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The full number is precisely 282 870 942 277 741 856 536 180 333 107 150 328 293 127 731 985 672 134 721 536 000 000 000 000 000 possible permutations (about 283 duodecillion on the
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The
Professor's Cube was invented by Udo Krell in 1981. Out of the many designs that were proposed, Udo Krell's design was the first 5×5×5 design that was manufactured and sold.
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possible arrangements. Seven of the corners can be independently rotated, and the orientation of the eighth corner depends on the other seven, giving 3 (or 2,187) combinations.
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1206:, two children are shown solving the 5×5×5 cube. They compete to solve multiple cubes consecutively, blindfolded, known as "5×5×5 multi-blind" by speedcubers.
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is estimated at 10. Other variations increase the difficulty by making the orientation of all center pieces visible. An example of this is shown below.
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The record for mean of three solves solving a 5x5x5 cube blindfolded is 2 minutes, 27.63 seconds (including inspection), set by
Stanley Chapel of the
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and many other names, depending on manufacturer) is a 5×5×5 version of the original Rubik's Cube. It has qualities in common with both the 3×3×3
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The record fastest time for solving a 5×5×5 cube blindfolded is 2 minutes, 4.41 seconds (including inspection), set by
Stanley Chapel of the
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Center is an EastSheen 5×5×5 cube with multicolored stickers, which increase difficulty because the centers need to be in correct places.
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previous order of cube puzzle, and the centers are manipulated with an algorithm similar to the one used in the 4×4×4 cube.
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The world record for fastest average of five solves (excluding fastest and slowest solves) is 34.76 seconds, also set by
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An original
Professor's Cube with many of the pieces removed, showing the 3×3×3 equivalence of the remaining pieces
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332:{\displaystyle {\frac {8!\times 3^{7}\times 12!\times 2^{10}\times 24!^{3}}{24^{12}}}\approx 2.83\times 10^{74}}
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There are 98 pieces on the exterior of the cube: 8 corners, 36 edges, and 54 centers (48 movable, 6 fixed).
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This type of center misalignment occurred during a turn and can only occur with the original design.
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shows a 10-year old cuber named Franco, who solved a 5×5×5 cube in 1 minute and 47.12 seconds.
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Rubik's brand Professor's Cube (left), V-Cube 5 (center), and Eastsheen 5×5 (right)
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on December 15, 2019, with the times of 2:32.48, 2:28.80, and 2:21.62.
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The world record for fastest 5×5×5 solve is 32.52 seconds, set by
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of the corners is possible, including odd permutations, giving
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Little Big Shots Philippines: Franco | 10-year-old Cuber
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on November 10, 2023, at Virginia Championship 2023 in
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are solved, and then it can be solved like a 3x3x3.
43:, and solution strategies for both can be applied.
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950:Top 5 solvers by average of 3 solves blindfolded
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399:, with 2 added layers and a couple of centers.
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227:This gives a total number of permutations of
96:The early versions of the 5×5×5 cube sold at
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419:on March 16, 2024, At DFW Megacomp 2024, in
346:or 283 trevigintillion on the short scale).
1312:
1225:– The 3×3×3 original version of this puzzle
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1379:"Reduction Method - Speedsolving.com Wiki"
794:Top 5 solvers by single solve blindfolded
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1174:Learn how and when to remove this message
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1476:"ABCube Method - Speedsolving.com Wiki"
1145:not related to the topic of the article
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787:(42.32), 37.39, 39.88, (35.16), 41.83
759:(41.48), 40.52, (34.82), 40.12, 36.76
731:(48.78), (34.53), 35.30, 38.97, 39.44
703:36.30, (34.12), (39.69), 36.94, 38.56
675:(39.71), 35.10, (33.55), 35.44, 33.75
63:The V-Cube 5 in its original packaging
55:Professor's Cube in original packaging
1621:
1613:5x5 Rubik's Cube interactive solution
1427:"Cage Method - Speedsolving.com Wiki"
1403:"Yau5 method - Speedsolving.com Wiki"
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101:sells a version called the V-Cube 5.
71:manufactured the cube and sold it in
2344:1982 World Rubik's Cube Championship
1512:Official Results - 5x5x5 Blindfolded
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618:Top 5 solvers by average of 5 solves
2338:The Simple Solution to Rubik's Cube
113:Professor's Cube in scrambled state
13:
434:on July 18, 2024, at NAC 2024, in
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1709:Rubik's family cubes of all sizes
1603:How to solve the 5x5 Rubik's Cube
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1352:Rubik's 5×5×5 Cube notice section
1301:Verdes' Innovations V-Cube 5 page
89:). When the cube was marketed in
16:5x5x5 version of the Rubik's Cube
1341:United States Patent 20070057455
1249:- An 8×8×8 version of the puzzle
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1363:Cubic Circular Issues 3 & 4
1243:- A 7×7×7 version of the puzzle
1237:- A 6×6×6 version of the puzzle
1231:– A 4×4×4 version of the puzzle
1219:– A 2×2×2 version of the puzzle
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150:A disassembled Professor's Cube
85:as the "Rubik's Wahn" (German:
1608:5x5 Rubik's Cube text solution
1540:Official 5x5x5 Ranking Average
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378:Speedcubers usually favor the
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1495:Official Results - 5x5x5 Cube
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1154:or discuss this issue on the
460:Top 5 solvers by single solve
174:A disassembled Eastsheen cube
1330:United States Patent 6129356
1319:United States Patent 4600199
1203:Line Walker 2: Invisible Spy
918:Sheffield Spring - BBO 2023
868:WCA World Championship 2023
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1058:Slow and Easy Selangor 2024
843:Virginia Championship 2023
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1290:Meffert's Professor's Cube
1187:A Filipino TV series from
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1089:3:00.62, 3:24.37, 3:15.30
1061:3:15.00, 2:28.17, 3:43.99
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1005:2:32.48, 2:28.80, 2:21.62
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1729:5×5×5 (Professor's Cube)
893:Selangor Cube Open 2019
756:Chien Cubing Party 2024
586:Taipei Summer Open 2024
180:Stability and durability
2329:Rubik, the Amazing Cube
1724:4×4×4 (Rubik's Revenge)
1114:Manchester BLD Day 2023
1030:Selangor Cube Open 2019
561:Daegu Cold Winter 2024
162:A disassembled V-Cube 5
2307:World Cube Association
2182:Anthony Michael Brooks
2142:Krishnam Raju Gadiraju
1564:World Cube Association
1551:World Cube Association
1537:World Cube Association
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1492:World Cube Association
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1719:3×3×3 (Rubik's Cube)
1431:www.speedsolving.com
1407:www.speedsolving.com
1383:www.speedsolving.com
1152:improve this section
728:Big Time Manila 2023
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2375:Single-player games
1994:Virtual combination
1826:combination puzzles
1788:combination puzzles
1714:2×2×2 (Pocket Cube)
1045:Hill Pong Yong Feng
855:Hill Pong Yong Feng
352:observable universe
31:(also known as the
2291:Rubik's Cube group
2137:Prithveesh K. Bhat
2061:Rubik's Revolution
1936:Great dodecahedron
1688:Oskar van Deventer
1306:2010-03-27 at the
1253:Combination puzzle
1124:In popular culture
743:Kai-Wen Wang (王楷文)
511:DFW Megacomp 2024
447:Richmond, Virginia
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1451:"Rubiks-Cube.org"
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2127:Shotaro Makisumi
2102:Jessica Fridrich
2080:Renowned solvers
1996:puzzles (>3D)
1944:Alexander's Star
1898:Pyraminx Crystal
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1772:Nine-Colour Cube
1744:8×8×8 (V-Cube 8)
1739:7×7×7 (V-Cube 7)
1734:6×6×6 (V-Cube 6)
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1457:on 2017-05-27
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971:Fastest solve
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815:Fastest solve
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771:Đỗ Quang Hưng
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598:Đo Quang Hưng
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481:Fastest solve
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454:United States
450:
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443:United States
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432:United States
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417:United States
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407:World records
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2365:Rubik's Cube
2336:
2327:
2223:Speedsolving
2197:Collin Burns
2152:Frank Morris
2117:Rowe Hessler
2034:Missing Link
1885:Dodecahedron
1847:Pyraminx Duo
1755:Rubik's Cube
1728:
1649:Rubik's Cube
1584:, retrieved
1578:
1572:
1559:
1546:
1532:
1518:
1470:
1459:. Retrieved
1455:the original
1445:
1434:. Retrieved
1430:
1421:
1410:. Retrieved
1406:
1397:
1386:. Retrieved
1382:
1373:
1358:
1347:
1336:
1325:
1314:
1296:
1285:
1276:
1273:"5x5x5 Wiki"
1267:
1223:Rubik's Cube
1201:
1193:
1170:
1161:
1150:Please help
1142:
1073:Ezra Hirschi
905:Ezra Hirschi
818:Competition
573:Kai-Wen Wang
484:Competition
451:
440:
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410:
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397:Rubik's Cube
393:
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201:Permutations
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132:
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95:
86:
77:
66:
37:Rubik's Cube
32:
28:
26:
2269:Mathematics
2251:CFOP method
2230:Speedcubing
2207:Mátyás Kuti
2162:Gilles Roux
2157:Lars Petrus
2087:Yu Nakajima
2039:Rubik's 360
2027:Derivatives
2013:MagicCube7D
2008:MagicCube5D
2003:MagicCube4D
1921:Impossiball
1913:Icosahedron
1852:Pyramorphix
1834:Tetrahedron
1786:Other cubic
1777:Sudoku Cube
1678:Tony Fisher
1673:Uwe Mèffert
1217:Pocket Cube
974:Competition
642:Competition
210:permutation
195:Speedcubing
136:speedcubing
69:Uwe Mèffert
2380:1980s toys
2359:Categories
2112:Kevin Hays
1867:Octahedron
1857:BrainTwist
1663:Ernő Rubik
1586:2022-01-23
1461:2020-05-11
1436:2020-05-21
1412:2020-05-21
1388:2020-05-21
1259:References
344:long scale
79:Ideal Toys
2281:Superflip
2216:Solutions
2187:Mats Valk
2147:Tyson Mao
1824:Non-cubic
1815:Gear Cube
1805:Dino Cube
1767:Bump Cube
1762:Void Cube
1164:July 2021
1156:talk page
536:NAC 2024
358:Solutions
317:×
311:≈
282:×
269:×
260:×
247:×
75:in 1983.
73:Hong Kong
2202:Max Park
2132:Toby Mao
2122:Leyan Lo
1962:Tuttminx
1893:Megaminx
1842:Pyraminx
1810:Square 1
1704:Overview
1304:Archived
1247:V-Cube 8
1241:V-Cube 7
1235:V-Cube 6
1211:See also
933:2:50.28s
908:2:45.73s
883:2:39.12s
858:2:18.78s
833:2:04.41s
700:NAC 2024
672:NAC 2024
658:Max Park
497:Max Park
428:Max Park
413:Max Park
105:Workings
2256:Optimal
2239:Methods
1982:(2x3x3)
1104:3:53.27
1076:3:13.43
1048:3:09.05
1020:2:49.17
992:2.27.63
430:of the
415:of the
83:Germany
47:History
1972:Cuboid
1368:, 1982
1191:named
977:Times
954:": -->
798:": -->
774:39.13s
746:39.13s
718:37.90s
690:37.27s
662:34.76s
645:Times
622:": -->
601:35.16s
576:34.16s
551:33.10s
526:32.98s
501:32.52s
464:": -->
130:cube.
1926:Dogic
1800:Skewb
91:Japan
968:Name
956:edit
812:Name
800:edit
636:Name
624:edit
478:Name
466:edit
423:.
314:2.83
208:Any
27:The
2361::
1501:^
1484:^
1429:.
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1381:.
1275:.
449:.
325:74
321:10
304:12
300:24
285:24
277:10
263:12
214:8!
1641:e
1634:t
1627:v
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1177:)
1171:(
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1162:(
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1148:.
960:]
804:]
628:]
470:]
293:3
289:!
273:2
266:!
255:7
251:3
244:!
241:8
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