Rubiks Cube - Revision history

Unknown user: /* 5x5 Professors Cube */

2022-05-19T00:34:09Z

5x5 Professors Cube

← Older revision		Revision as of 00:34, 19 May 2022
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	{{Main\|Professors Cube}}		{{Main\|Professors Cube}}

	[[Image:~~ProfessorsCube_5x5~~.jpg\|200px]]		[[Image:ProfessorsCube_5x5_Hipsta.jpg\|200px]]

	==Solving the 5x5==		==Solving the 5x5==

Unknown user: /* Solving the 5x5 */

2022-05-17T22:03:50Z

Solving the 5x5

← Older revision		Revision as of 22:03, 17 May 2022
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	The basic algorithm for solving the 5x5 is to use the layer method, by first reducing the 5x5 to a 3x3, then solving the 3x3 with the layer method.		The basic algorithm for solving the 5x5 is to use the layer method, by first reducing the 5x5 to a 3x3, then solving the 3x3 with the layer method.

	* {{Main\|Professors Cube/Layer Method}}		* Main: [[Professors Cube/Layer Method]]

	==Parity on the 5x5==		==Parity on the 5x5==

Admin: /* 3x3 Rubiks Cube */

2019-11-09T06:45:24Z

3x3 Rubiks Cube

← Older revision		Revision as of 06:45, 9 November 2019
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	* 2x2 Method (blockbuilding)		* 2x2 Method (blockbuilding)
	* Blindfolded [https://ruwix.com/the-rubiks-cube/how-to-solve-the-rubiks-cube-blindfolded-tutorial/]		* Blindfolded [https://ruwix.com/the-rubiks-cube/how-to-solve-the-rubiks-cube-blindfolded-tutorial/]
	* ~~Blildfolded~~ (another) [http://www.ws.binghamton.edu/fridrich/Richard/BlindfoldRevenge.pdf]		* Blindfolded (another) [http://www.ws.binghamton.edu/fridrich/Richard/BlindfoldRevenge.pdf]

	==Mathematical Representation of the 3x3==		==Mathematical Representation of the 3x3==

Admin: /* 3x3 Rubiks Cube */

2019-11-09T06:45:12Z

3x3 Rubiks Cube

← Older revision		Revision as of 06:45, 9 November 2019
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	The standard Rubiks Cube size is a 3x3.		The standard Rubiks Cube size is a 3x3.

	[[Image:~~RubiksCube_3x3~~.jpg\|200px]]		[[Image:RubiksCube LayerMethod 8Solved.jpg\|200px]]

	Pages on the 3x3 cube:		Pages on the 3x3 cube:

Admin: /* Solving the 4x4 */

2019-04-24T05:59:28Z

Solving the 4x4

← Older revision		Revision as of 05:59, 24 April 2019
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	However, the parity case complicates things. Whereas the 3x3 cube has a few ending scenarios with regard to the parity of the top layer and how the squares are oriented (memorizing these becomes crucial to fast solves), the 4x4 cube has some situations that are impossible on a 3x3 cube (such as two corner cubies being swapped or a cube that's entirely solved except for two inside-out cubies on one of the top edges).		However, the parity case complicates things. Whereas the 3x3 cube has a few ending scenarios with regard to the parity of the top layer and how the squares are oriented (memorizing these becomes crucial to fast solves), the 4x4 cube has some situations that are impossible on a 3x3 cube (such as two corner cubies being swapped or a cube that's entirely solved except for two inside-out cubies on one of the top edges).

	See [[Rubiks Revenge]] page, in particular the [[Rubiks Revenge#Algorithms]] section, for algorithms that apply only to the 4x4 case.		See [[Rubiks Revenge]] page, in particular the [[Rubiks Revenge#Algorithms Cheat Sheet]] section, for algorithms that apply only to the 4x4 case.

	==Parity on the 4x4==		==Parity on the 4x4==

Admin: /* Solving the 4x4 */

2019-04-24T05:59:04Z

Solving the 4x4

← Older revision		Revision as of 05:59, 24 April 2019
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	For the most part, solving the 4x4 is a lot like solving the 3x3, but complicated by two initial steps that need to happen first - arranging the center 2x2 cubies of each face, then orienting the two edge pairs of cubies of each of the twelve sides of the cube to match up.		For the most part, solving the 4x4 is a lot like solving the 3x3, but complicated by two initial steps that need to happen first - arranging the center 2x2 cubies of each face, then orienting the two edge pairs of cubies of each of the twelve sides of the cube to match up.

	Then you can think of these edge pairs as sticking together, and the whole thing becomes a 3x3 cube, but with 2 rows/columns instead of a single middle row/column.		Then you can think of these double edge pairs as sticking together to form a single edge cubie, and the four center face cubies as a single fixed face cubie, and the whole thing becomes a 3x3 cube, but with 2 rows/columns instead of a single middle row/column.

	However, the parity case complicates things. Whereas the 3x3 cube has a few ending scenarios with regard to the parity of the top layer and how the squares are oriented (memorizing these becomes crucial to fast solves), the 4x4 cube has some situations that are impossible on a 3x3 cube (such as two corner cubies being swapped) or a cube that's entirely solved except for two inside-out cubies on one of the top edges.		However, the parity case complicates things. Whereas the 3x3 cube has a few ending scenarios with regard to the parity of the top layer and how the squares are oriented (memorizing these becomes crucial to fast solves), the 4x4 cube has some situations that are impossible on a 3x3 cube (such as two corner cubies being swapped or a cube that's entirely solved except for two inside-out cubies on one of the top edges).

			See [[Rubiks Revenge]] page, in particular the [[Rubiks Revenge#Algorithms]] section, for algorithms that apply only to the 4x4 case.

	==Parity on the 4x4==		==Parity on the 4x4==

Admin: /* Solving the 3x3 */

2019-04-24T05:55:34Z

Solving the 3x3

← Older revision		Revision as of 05:55, 24 April 2019
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	There are other, more advanced techniques:		There are other, more advanced techniques:
	* Fridrich Method (CFOP) [https://ruwix.com/the-rubiks-cube/advanced-cfop-fridrich/] - also see [[Rubiks Cube/~~Fridrichs~~ Method]]		* Fridrich Method (CFOP) [https://ruwix.com/the-rubiks-cube/advanced-cfop-fridrich/] - also see [[Rubiks Cube/Fridrich Method]]
	* 2x2 Method (blockbuilding)		* 2x2 Method (blockbuilding)
	* Blindfolded [https://ruwix.com/the-rubiks-cube/how-to-solve-the-rubiks-cube-blindfolded-tutorial/]		* Blindfolded [https://ruwix.com/the-rubiks-cube/how-to-solve-the-rubiks-cube-blindfolded-tutorial/]

Admin: /* Solving the 3x3 */

2019-04-24T05:55:18Z

Solving the 3x3

← Older revision		Revision as of 05:55, 24 April 2019
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	There are other, more advanced techniques:		There are other, more advanced techniques:
	* ~~Friedrichs~~ Method (CFOP) [https://ruwix.com/the-rubiks-cube/advanced-cfop-fridrich/]		* Fridrich Method (CFOP) [https://ruwix.com/the-rubiks-cube/advanced-cfop-fridrich/] - also see [[Rubiks Cube/Fridrichs Method]]
	* 2x2 Method		* 2x2 Method (blockbuilding)
	* Blindfolded [https://ruwix.com/the-rubiks-cube/how-to-solve-the-rubiks-cube-blindfolded-tutorial/]		* Blindfolded [https://ruwix.com/the-rubiks-cube/how-to-solve-the-rubiks-cube-blindfolded-tutorial/]
	* Blildfolded (another) [http://www.ws.binghamton.edu/fridrich/Richard/BlindfoldRevenge.pdf]		* Blildfolded (another) [http://www.ws.binghamton.edu/fridrich/Richard/BlindfoldRevenge.pdf]

Admin: /* 3x3 Rubiks Cube */

2019-04-24T05:54:41Z

3x3 Rubiks Cube

← Older revision		Revision as of 05:54, 24 April 2019
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	The standard Rubiks Cube size is a 3x3.		The standard Rubiks Cube size is a 3x3.

			[[Image:RubiksCube_3x3.jpg\|200px]]

	Pages on the 3x3 cube:		Pages on the 3x3 cube:

Admin: /* Mathematical Representation of the 4x4 */

2019-04-24T05:48:47Z

Mathematical Representation of the 4x4

← Older revision		Revision as of 05:48, 24 April 2019
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	However, the parity case complicates things. Whereas the 3x3 cube has a few ending scenarios with regard to the parity of the top layer and how the squares are oriented (memorizing these becomes crucial to fast solves), the 4x4 cube has some situations that are impossible on a 3x3 cube (such as two corner cubies being swapped) or a cube that's entirely solved except for two inside-out cubies on one of the top edges.		However, the parity case complicates things. Whereas the 3x3 cube has a few ending scenarios with regard to the parity of the top layer and how the squares are oriented (memorizing these becomes crucial to fast solves), the 4x4 cube has some situations that are impossible on a 3x3 cube (such as two corner cubies being swapped) or a cube that's entirely solved except for two inside-out cubies on one of the top edges.

			==Parity on the 4x4==

			The 4x4 has an even number of cubies per side, which means that it has more flexibility than the 3x3 or 5x5 (or any other cube with an odd number of cubies per side) because there is no fixed center face.

			This difference means the 4x4 can reach any possible cube permutations (arrangements of the cubies), unlike the 3x3 or 5x5 cubes, which can only reach half of the possible permutations (the cubes would need to be mechanically dismantled to reach the other half).

			This shows up on the very first step of solving the 4x4, which requires lining up the center faces.

			(Image: faces ok and oriented correctly)

			(Image: faces ok but oriented incorrectly)

	==Mathematical Representation of the 4x4==		==Mathematical Representation of the 4x4==