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{{Short description|5x5x5 version of the Rubik's Cube}}
[[File:5×5×5 size comparison.jpg|thumb|right|250px|Rubik's brand Professor's Cube (left), V-Cube 5 (center), and Eastsheen 5×5 (right)]]
The '''Professor's Cube''' (also known as the '''5×5×5 Rubik's Cube''' 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 [[Rubik's Cube]] and the 4×4×4 [[Rubik's Revenge]], and solution strategies for both can be applied.
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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. [[Uwe Mèffert]] manufactured the cube and sold it in [[Hong Kong]] in 1983.
[[Ideal Toy Company|Ideal Toys]], who first popularized the original 3x3x3 Rubik's cube, marketed the puzzle in [[Germany]] as the "Rubik's Wahn" (German:
The early versions of the 5×5×5 cube sold at [[Barnes & Noble]] 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.<ref>[http://www.mefferts.com/products/details.php?lang=en&category=13&id=238 Meffert's Professor's Cube]</ref> Verdes Innovations sells a version called the V-Cube 5.<ref>[http://www.v-cubes.com/prod_info/v-cube5.php Verdes' Innovations V-Cube 5 page] {{webarchive|url=https://web.archive.org/web/20100327224620/http://www.v-cubes.com/prod_info/v-cube5.php |date=2010-03-27 }}</ref>
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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 cube.<ref name="Eastsheen patent">[http://www.freepatentsonline.com/6129356.html United States Patent 6129356]</ref>
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 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
<gallery>
File:Professor's Cube disassembled.jpg|A disassembled Professor's Cube
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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<ref name="Cubic Circular">[http://www.jaapsch.net/puzzles/cubic3.htm#p18 Cubic Circular Issues 3 & 4] [[David Singmaster]], 1982</ref> (about 283 duodecillion on the [[names of large numbers|long scale]] or 283 trevigintillion on the short scale).
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<sup>75</sup>, although any orientation of this piece could be regarded as correct. By comparison, the number of atoms in the [[observable universe]] is estimated at
==Solutions==
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Speedcubers usually favor the '''Reduction method''' 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 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 edges for that matter.<ref>{{Cite web|title=Reduction Method - Speedsolving.com Wiki|url=https://www.speedsolving.com/wiki/index.php/Reduction_Method|website=www.speedsolving.com|access-date=2020-05-21}}</ref>
The Yau5
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 previous order of cube puzzle, and the centers are manipulated with an algorithm similar to the one used in the 4×4×4 cube.<ref>{{Cite web|title=Cage Method - Speedsolving.com Wiki|url=https://www.speedsolving.com/wiki/index.php/Cage_Method|website=www.speedsolving.com|access-date=2020-05-21}}</ref>
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 [[Rubik's Cube]], with 2 added layers and a couple of centers.
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 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.
==World records==
The world record for fastest 5×5×5 solve is 32.
The world record for fastest average of five solves (excluding fastest and slowest solves) is
The record fastest time for solving a 5×5×5 cube blindfolded is 2 minutes,
The record for mean of three solves solving a 5x5x5 cube blindfolded is 2 minutes, 27.63 seconds (including inspection),
=== Top 5 solvers by single solve<ref>[[World Cube Association]] [https://www.worldcubeassociation.org/results/events.php?eventId=555®ionId=&years=&show=100%2BPersons&single=Single Official 5x5x5 Ranking Single]</ref>===
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! Name !! Fastest solve !! Competition
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| {{flagicon|USA}} [[Max Park]] || 32.
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! Name !! Fastest average !! Competition !! Times
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| {{flagicon|USA}} [[Max Park]] ||
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! Name !! Fastest solve !! Competition
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| {{flagicon|CHN}} Kaijun Lin (林恺俊) || 2:39.12s || {{flagicon|MYS}} Selangor Cube Open 2019
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| {{flagicon|SWI}} Ezra Hirschi || 2:45.73s || {{flagicon|GRB}} Sheffield Spring - BBO 2023
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| {{flagicon|CHN}} Kaijun Lin (林恺俊) || 2:49.17 || {{flagicon|MYS}} Selangor Cube Open 2019 || 2:59.09, 2:39.12, 2:49.30
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==In popular culture==
{{off
*A Filipino TV series from [[ABS-CBN|ABS-CBN Entertainment]] named [[Little Big Shots (Philippine TV series)|''Little Big Shots'']] shows a 10-year old cuber named Franco, who solved a 5×5×5 cube in 1 minute and 47.12 seconds.<ref>{{Citation|title=Little Big Shots Philippines: Franco {{!}} 10-year-old Cuber| date=22 October 2017 |url=https://www.youtube.com/watch?v=-W-W1s0uWxA|language=en|access-date=2022-01-23}}</ref>
*In the movie ''[[Line Walker 2: Invisible Spy]]'', 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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