Professors Cube/Layer Method - Revision history

Unknown user: /* Algorithms Cheat Sheet */

2022-05-28T21:46:11Z

Algorithms Cheat Sheet

← Older revision		Revision as of 21:46, 28 May 2022
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	5x5 Edge Swap:		5x5 Edge Swap:

			<pre>
			Dd R F' U R' F Dd'
			</pre>

	==Patterns==		==Patterns==

Unknown user: /* Algorithms Cheat Sheet */

2022-05-28T21:45:56Z

Algorithms Cheat Sheet

← Older revision		Revision as of 21:45, 28 May 2022
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	==Algorithms Cheat Sheet==		==Algorithms Cheat Sheet==

			5x5 Tredge Flip:

			<pre>
			(Rr)2 B2 U2
			(Ll) U2
			(Rr)' U2
			(Rr) U2
			F2 (Rr)
			F2 (Ll)'
			B2 (Rr)2
			</pre>

			5x5 Edge Swap:

	==Patterns==		==Patterns==

Unknown user: /* Step 4: Correct Triple Edge Orientation */

2022-05-28T21:44:41Z

Step 4: Correct Triple Edge Orientation

← Older revision		Revision as of 21:44, 28 May 2022
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	This step should conclude with either zero, one, or two triple edges that have their center cubie oriented inside out from the other two cubies.		This step should conclude with either zero, one, or two triple edges that have their center cubie oriented inside out from the other two cubies.

	===Step 4: Correct Triple Edge Orientation===		===Step 4: Correct the Triple Edge Orientation===

	If Step 3 ~~concluded with zero triple edges that have their center cubie oriented inside-out, skip this step and proceed to solve the 5x5 cube using 3x3 algorithms~~.		There are three ways Step 3 can end.

	~~If Step 3 concluded with one~~ triple ~~edge~~ that ~~has its center cubie~~ oriented inside-out~~, apply~~ the ~~Triple Edge Flip algorithm:~~		The first and easiest way is if there are no triple edges that are oriented "inside out" (the middle cubie is of the opposite orientation from its two neighbor cubies).

	~~(TODO: Add~~ algorithm~~, pictures)~~		The second way is if one triple edge is oriented inside out, which requires a new algorithm exclusive to the 5x5 cube.

	~~If Step 3 concluded with~~ two triple edges ~~that have their center cubies~~ oriented inside-out~~, apply the Edge Swap algorithm from the 4x4:~~		The third way is if two triple edges are oriented inside out.

	~~(TODO: Add the edge-swap algorithm here and expand on it to use the correct notation for the 5x5)~~		====No Inside Out Triple Edges====

	~~(TODO: pictures of before/after, and which face and algorithm)~~		Congratulations! You're already done with Step 4.

	~~(TODO: Revisit the other pages' solution methods and name the algorithms;~~ Edge ~~Swapping algorithm, Double Edge Flip algorithm, etc.)~~		====One Inside Out Triple Edge====

			If Step 3 finishes with one triple edge oriented incorrectly (middle cubie is opposite orientation from two neighbor cubies), a new algorithm is needed to flip the middle cubie of one triple edge only.

	~~Apply~~ the ~~Holy Cube~~ Algorithm:		This is the 5x5 Tredge Flip Algorithm:

	<pre>		<pre>
Line 128:		Line 129:
	B2 (Rr)2		B2 (Rr)2
	</pre>		</pre>

			This should be performed with the inside out triple edge at the top front (the cube's "forehead"). All other triple edges should be properly oriented.

			====Two Inside Out Triple Edges====

			If Step 3 finishes with two triple edges oriented incorrectly (middle cubie is opposite orientation from two neighbor cubies), no new algorithms are needed, you can use the Edge Swapping algorithm (which swaps a cubie between the left and right triple edges) to fix them.

			Orient the cube so that the two inside out triple edges are on the left and right edge of the front face. Then execute this algorithm to exchange the bottom cubie of the left triple edge with the top cubie of the right triple edge.

			Edge Swapping Algorithm:

			<pre>
			Dd R F' U R' F Dd'
			</pre>

			Now, make sure that the middle and top cubies of the left triple edge are the same color as the top cubie of the right triple edge. (You may need to flip one of the triple edges.)

			From that orientation (middle and top cubies of left triple edge match top cubie of right triple edge), execute the Edge Swapping algorithm again:

			<pre>
			Dd R F' U R' F Dd'
			</pre>

			This will result in all triple edges being aligned.

			(TODO: Revisit the other pages' solution methods and name the algorithms; Edge Swapping algorithm, Double Edge Flip algorithm, etc.)

	===Step 5: Solve the 3x3===		===Step 5: Solve the 3x3===

Unknown user: /* Step 2: Center Faces */

2022-05-28T20:42:00Z

Step 2: Center Faces

@@ Line 12: / Line 12: @@
 ===Step 2: Center Faces===
 Use the algorithm below to exchange the cubies on the corners of the center of the face (the non-cross face cubies) until each face of the cube has a solid 3x3 face of a single color.
 The algorithm to swap corner cubies on faces:
@@ Line 37: / Line 41: @@
 |___|___|___|___|___|
 |   | * |   |   |   |
 |___|___|___|___|___|
 |   |   |   |   |   |

Unknown user at 00:36, 19 May 2022

2022-05-19T00:36:07Z

← Older revision		Revision as of 00:36, 19 May 2022
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			[[File:ProfessorsCube 5x5 Hipsta.jpg\|200px]]

	==Solution Algorithm Steps==		==Solution Algorithm Steps==

Unknown user: /* Patterns */

2022-05-17T22:22:58Z

Patterns

← Older revision		Revision as of 22:22, 17 May 2022
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	See [[Professors Cube/Patterns]]		See [[Professors Cube/Patterns]]

			==Simulator==

			https://ruwix.com/online-puzzle-simulators/5x5x5-professors-cube-simulator.php

	==Flags==		==Flags==

Unknown user: /* Step 2: Center Faces */

2022-05-17T22:08:15Z

Step 2: Center Faces

← Older revision		Revision as of 22:08, 17 May 2022
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	(Note that, unlike the 4x4, the center pieces are fixed, so the faces will be correctly oriented and no extra checking is required.)		(Note that, unlike the 4x4, the center pieces are fixed, so the faces will be correctly oriented and no extra checking is required.)

			The algorithm to swap corner cubies on faces:

			<pre>
			l F l' F l F F l' F F
			</pre>

	This algorithm will swap the corner cubie on the top left of the front face with the corner cubie on the bottom left of the top face.		This algorithm will swap the corner cubie on the top left of the front face with the corner cubie on the bottom left of the top face.

Unknown user: /* Step 2: Center Faces */

2022-05-17T22:07:21Z

Step 2: Center Faces

@@ Line 11: / Line 11: @@
 ===Step 2: Center Faces===
-Use an algorithm to exchange the cubies on the corners of the center of the face (the non-cross face cubies) until each face of the cube has a solid 3x3 face of a single color.
+Use the algorithm below to exchange the cubies on the corners of the center of the face (the non-cross face cubies) until each face of the cube has a solid 3x3 face of a single color.
 (Note that, unlike the 4x4, the center pieces are fixed, so the faces will be correctly oriented and no extra checking is required.)
 ===Step 3: Align Triple-Edges===

Admin: /* Patterns */

2019-04-24T20:54:56Z

Patterns

← Older revision		Revision as of 20:54, 24 April 2019
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	==Patterns==		==Patterns==

	It is also possible to apply algorithms to the solved ~~Rubiks Revenge cube~~ to create various interesting patterns.		It is also possible to apply algorithms to the solved Professor's Cube to create various interesting patterns.

	See [[Professors Cube/Patterns]]		See [[Professors Cube/Patterns]]

Admin: /* Pretty Patterns */

2019-04-24T20:53:11Z

Pretty Patterns

← Older revision		Revision as of 20:53, 24 April 2019
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	==~~Pretty~~ Patterns==		==Patterns==

	It is also possible to apply algorithms to the solved Rubiks Revenge cube to create various interesting patterns.		It is also possible to apply algorithms to the solved Rubiks Revenge cube to create various interesting patterns.

	~~===Checkered Faces===~~		See [[Professors Cube/Patterns]]

	~~To get the Rubiks Revenge cube into a state where each face is covered with a checkered pattern (orange-red, blue-green, and white-yellow), apply the following algorithm:~~

	* Two clockwise rotations of the upper layer

	* Two clockwise rotations of the upper two layers

	* Two clockwise rotations of the upper three layers

	* Two clockwise rotations of the upper four layers

	~~Apply this algorithm to either the red or orange face; apply it to either the white or yellow face; and finally, apply it to either the blue or green face.~~


	==Flags==		==Flags==