Professors Cube - Revision history

Admin: /* Tredge Fix */

2019-04-22T18:37:13Z

Tredge Fix

← Older revision		Revision as of 18:37, 22 April 2019
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	B2 (Rr)2		B2 (Rr)2
	</pre>		</pre>

			\|}

	==Mathematical Representation==		==Mathematical Representation==

Admin: /* Tredge Fix */

2019-04-22T18:37:02Z

Tredge Fix

← Older revision		Revision as of 18:37, 22 April 2019
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	===Tredge Fix===		===Tredge Fix===

			tredge = triple edge

	{\| class="wikitable" cellpadding="100" width="66%"		{\| class="wikitable" cellpadding="100" width="66%"
	!colspan="4"\|'''~~Triple Edge~~ (~~Tredge~~) ~~Inversion Algorithms~~'''		!colspan="4"\|'''Tredge Fix (Inversion) Algorithm'''

	\|-		\|-
	\|'''Fix a tredge ~~with an~~ inverted (colors~~) middle piece~~:'''		\|'''Fix one tredge whose middle piece has inverted colors:'''
	\|~~Start with the cube oriented such that the tredge with~~ the ~~inverted~~ colors ~~joins the front (F) and upper (U) face~~ of ~~the cube. (This tredge is the cube's "forehead"~~.)		\|This algorithm should be applied once all triple edges have the colors of all three pieces oriented correctly, except for one triple edge.

	Now execute the Tredge algorithm:		Start with the cube oriented such that the tredge with the inverted colors joins the front (F) and upper (U) face of the cube. (This tredge is the cube's "forehead".)

			Now execute the Tredge Fix (Inversion) algorithm:

	<pre>		<pre>

Admin: /* Algorithms */

2019-04-22T18:29:33Z

Algorithms

@@ Line 19: / Line 19: @@
 . Solve the 3x3
-==Algorithms==
+==Algorithms Cheat Sheet==
 ==Mathematical Representation==

Admin: /* Solution Procedure */

2019-04-22T18:25:56Z

Solution Procedure

← Older revision		Revision as of 18:25, 22 April 2019
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	==Solution Procedure==		==Solution Procedure==

	{{Main\|Professors Cube/~~Solution~~ Method}}		===The Layer Method===

			{{Main\|Professors Cube/Layer Method}}

			The layer method solves the 5x5 by reducing it to a 3x3, and applying the layer method to solve the 3x3 cube.

	The short version:		The short version:

Admin: /* Solution Procedure */

2019-04-22T18:24:23Z

Solution Procedure

← Older revision		Revision as of 18:24, 22 April 2019
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	==Solution Procedure==		==Solution Procedure==

			{{Main\|Professors Cube/Solution Method}}

			The short version:

			1. Solve center crosses

			2. Solve center faces

			3. Align triple edges (tredges)

			4. Correct tredge orientation

			5. Solve the 3x3

	==Algorithms==		==Algorithms==

Admin: /* Flags */

2019-04-21T18:48:18Z

Flags

← Older revision		Revision as of 18:48, 21 April 2019
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	==Algorithms==		==Algorithms==

			==Mathematical Representation==

			Like the 3x3 and 4x4 cubes, the 5x5 cube can be represented using a tuple, with one entry in the tuple per face of the cube.

			The 3x3 cube has 3^2 = 9 faces per side, for a total of 6 x 9 = 54 faces, so the state of any 3x3 cube can be represented using a 54-uple.

			The 4x4 cube has 4^2 = 16 faces per side, for a total of 6 x 16 = 96 faces, so the state of any 4x4 cube can be represented using a 96-uple.

			The 5x5 cube has 5^2 = 25 faces per side, for a total of 6 x 25 = 150 faces, so we can write the state of any 5x5 cube using a 150-uple.

			For general information on the mathematical representation of the cube:

			* [[Rubiks Cube/Tuple]]
			* [[Rubiks Cube/Permutations]]

			For information specific to the 5x5 cube:

			* [[Professors Cube/Numbers]] - counting the various possible states of a 5x5 cube
			* [[Professors Cube/Tuple]] - representing the various possible states of a 5x5 cube in unique ways
			* [[Professors Cube/Permutations]] - utilizing permutation algebra to manipulate the 5x5 cube

	==Flags==		==Flags==

Admin: /* Algorithms */

2019-04-18T18:31:12Z

Algorithms

← Older revision		Revision as of 18:31, 18 April 2019
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	==Algorithms==		==Algorithms==

	~~Lots of algorithms... a couple that are key but that are simply not working.~~

	==Flags==		==Flags==

Admin: /* References */

2018-06-24T04:46:20Z

References

← Older revision		Revision as of 04:46, 24 June 2018
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	==References==		==References==

			Not much here: https://www.speedsolving.com/wiki/index.php/Category:5x5x5_methods

Admin: Created page with "==Solution Procedure== ==Algorithms== Lots of algorithms... a couple that are key but that are simply not working. ==Flags== {{RubiksFlag}} {{ProfessorsCubeFlag}} ==Refe..."

2018-06-24T04:46:01Z

Created page with "==Solution Procedure== ==Algorithms== Lots of algorithms... a couple that are key but that are simply not working. ==Flags== {{RubiksFlag}} {{ProfessorsCubeFlag}} ==Refe..."

New page

==Solution Procedure==

==Algorithms==

Lots of algorithms... a couple that are key but that are simply not working.

==Flags==

{{RubiksFlag}}

{{ProfessorsCubeFlag}}

==References==