Rubiks Cube/Patterns - Revision history

Admin: /* Order of Sequence */

2019-04-21T18:45:56Z

Order of Sequence

← Older revision		Revision as of 18:45, 21 April 2019
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	=Order of Sequence=		=Order of Sequence=

	Let's start by defining the order of a sequence.		Let's start by defining the ''order'' of a sequence of moves.

	~~If you start with a solved 4x4~~ Rubik's ~~Revenge~~ cube, and ~~apply~~ a sequence ~~of moves~~ to the cube repeatedly, the cube will ~~eventually arrive back at~~ the original ~~solved~~ state.		Given an NxN Rubik's Cube, a particular sequence of moves can be applied to a cube (for example, the sequence <code>RUR'U'</code> is a four-move sequence consisting of a clockwise rotation of the R and U faces, then a counterclockwise rotation of the R and U faces). If this sequence is applied to the cube repeatedly, the cube will always return to its original state. The number of times that the algorithm must be applied to the cube in order for the cube to return to its original state is called the ''order'' of a sequence of moves.

			This page lists several move sequences and some properties of those move sequences, including their order.

	==4x4 Cube==		==4x4 Cube==

	Sequence indicates the sequence we're examining.		'''Sequence''' indicates the sequence we're examining.

	Cross count ~~refers to~~ the number of times the sequence ~~needs to~~ be applied to a solved cube ~~in order for~~ each of the cross pieces on each face to return ~~back~~ to a solved state.		'''Cross count''' is a count of the number of times the sequence must be applied to a solved cube before each of the '''cross pieces''' on each face return to their solved state.

	Center count ~~refers to~~ the number of times the sequence needs to be applied to a solved cube ~~in order for~~ all center pieces to return ~~back~~ to ~~the~~ solved state.		'''Center count''' is a count of the number of times the sequence needs to be applied to a solved cube before all of the '''center pieces''' on each face return to their solved state.

	Total count is ~~refers to~~ the number of times the sequence needs to be applied to a solved cube ~~in order for~~ the entire cube ~~to return back~~ to the solved state.		'''Total count''' is a count of the number of times the sequence needs to be applied to a solved cube before '''the entire cube''' returns to the solved state.

	===Two Move Sequences===		===Two Move Sequences===

Admin: /* 4 Move Sequences */

2019-04-21T18:39:15Z

4 Move Sequences

← Older revision		Revision as of 18:39, 21 April 2019
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	B 2L 2D 132 44 132		B 2L 2D 132 44 132
	B 2D 2R 132 44 132		B 2D 2R 132 44 132
	~~</pre>~~

	~~===4 Move Sequences===~~

	~~<pre>~~

	</pre>		</pre>

Admin: /* 3 Move Sequences */

2019-04-21T18:39:05Z

3 Move Sequences

← Older revision		Revision as of 18:39, 21 April 2019
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	</pre>		</pre>

	===3 Move Sequences===		===Three Move Sequences===

	<pre>		<pre>

Admin: /* 2 Move Sequences */

2019-04-21T18:38:53Z

2 Move Sequences

← Older revision		Revision as of 18:38, 21 April 2019
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	Total count is refers to the number of times the sequence needs to be applied to a solved cube in order for the entire cube to return back to the solved state.		Total count is refers to the number of times the sequence needs to be applied to a solved cube in order for the entire cube to return back to the solved state.

	===2 Move Sequences===		===Two Move Sequences===

	<pre>		<pre>

Admin: /* 3 Move Sequences */

2018-01-11T08:26:18Z

3 Move Sequences

Show changes

Admin: /* 3 Move Sequences */

2018-01-11T08:22:53Z

3 Move Sequences

← Older revision		Revision as of 08:22, 11 January 2018
Line 6,509:		Line 6,509:
	Done with sequences of length 3		Done with sequences of length 3
	</pre>		</pre>

			=Flags=

			{{RubiksFlag}}

			[[Category:Rubiks Revenge]]

Admin: /* 4x4 Cube */

2018-01-11T08:22:29Z

4x4 Cube

← Older revision		Revision as of 08:22, 11 January 2018
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	==4x4 Cube==		==4x4 Cube==

			Sequence indicates the sequence we're examining.

			Cross count refers to the number of times the sequence needs to be applied to a solved cube in order for each of the cross pieces on each face to return back to a solved state.

			Center count refers to the number of times the sequence needs to be applied to a solved cube in order for all center pieces to return back to the solved state.

			Total count is refers to the number of times the sequence needs to be applied to a solved cube in order for the entire cube to return back to the solved state.

	===2 Move Sequences===		===2 Move Sequences===

Admin: /* 4x4 Cube */

2018-01-11T08:19:19Z

4x4 Cube

Show changes

Admin: Created page with "=Order of Sequence= Let's start by defining the order of a sequence. If you start with a solved 4x4 Rubik's Revenge cube, and apply a sequence of moves to the cube repeatedl..."

2018-01-11T08:17:59Z

Created page with "=Order of Sequence= Let's start by defining the order of a sequence. If you start with a solved 4x4 Rubik's Revenge cube, and apply a sequence of moves to the cube repeatedl..."

New page

=Order of Sequence=

Let's start by defining the order of a sequence.

If you start with a solved 4x4 Rubik's Revenge cube, and apply a sequence of moves to the cube repeatedly, the cube will eventually arrive back at the original solved state.

==4x4 Cube==

===2 Move Sequences===

<pre>
Sequence Cross Count Center Count Total Count
U Rw 80 10 240
U Lw 80 10 240
U Fw 80 10 240
U Bw 80 10 240
R Uw 80 10 240
R Fw 80 10 240
R Dw 80 10 240
R Bw 80 10 240
L Uw 80 10 240
L Fw 80 10 240
L Dw 80 10 240
L Bw 80 10 240
F Uw 80 10 240
F Rw 80 10 240
F Lw 80 10 240
F Dw 80 10 240
D Rw 80 10 240
D Lw 80 10 240
D Fw 80 10 240
D Bw 80 10 240
B Uw 80 10 240
B Rw 80 10 240
B Lw 80 10 240
B Dw 80 10 240
2U 2R 28 7 28
2U 2L 28 7 28
2U 2F 28 7 28
2U 2B 28 7 28
2R 2U 28 7 28
2R 2F 28 7 28
2R 2D 28 7 28
2R 2B 28 7 28
2L 2U 28 7 28
2L 2F 28 7 28
2L 2D 28 7 28
2L 2B 28 7 28
2F 2U 28 7 28
2F 2R 28 7 28
2F 2L 28 7 28
2F 2D 28 7 28
2D 2R 28 7 28
2D 2L 28 7 28
2D 2F 28 7 28
2D 2B 28 7 28
2B 2U 28 7 28
2B 2R 28 7 28
2B 2L 28 7 28
2B 2D 28 7 28
U R 7 1 105
U L 7 1 105
U F 7 1 105
U B 7 1 105
R U 7 1 105
R F 7 1 105
R D 7 1 105
R B 7 1 105
L U 7 1 105
L F 7 1 105
L D 7 1 105
L B 7 1 105
F U 7 1 105
F R 7 1 105
F L 7 1 105
F D 7 1 105
D R 7 1 105
D L 7 1 105
D F 7 1 105
D B 7 1 105
B U 7 1 105
B R 7 1 105
B L 7 1 105
B D 7 1 105
U Uw 4 4 4
R Rw 4 4 4
L Lw 4 4 4
F Fw 4 4 4
D Dw 4 4 4
B Bw 4 4 4
Uw D 4 4 4
Rw L 4 4 4
Lw R 4 4 4
Fw B 4 4 4
Dw U 4 4 4
Bw F 4 4 4
2U 2D 4 2 4
2R 2L 4 2 4
2L 2R 4 2 4
2F 2B 4 2 4
2D 2U 4 2 4
2B 2F 4 2 4
2U 2U 2 2 2
2R 2R 2 2 2
2L 2L 2 2 2
2F 2F 2 2 2
2D 2D 2 2 2
2B 2B 2 2 2
Uw R 80 10 240
Uw L 80 10 240
Uw F 80 10 240
Uw B 80 10 240
Rw U 80 10 240
Rw F 80 10 240
Rw D 80 10 240
Rw B 80 10 240
Lw U 80 10 240
Lw F 80 10 240
Lw D 80 10 240
Lw B 80 10 240
Fw U 80 10 240
Fw R 80 10 240
Fw L 80 10 240
Fw D 80 10 240
Dw R 80 10 240
Dw L 80 10 240
Dw F 80 10 240
Dw B 80 10 240
Bw U 80 10 240
Bw R 80 10 240
Bw L 80 10 240
Bw D 80 10 240
Uw Dw 2 2 2
Rw Lw 2 2 2
Lw Rw 2 2 2
Fw Bw 2 2 2
Dw Uw 2 2 2
Bw Fw 2 2 2
Uw 2D 4 2 4
Rw 2L 4 2 4
Lw 2R 4 2 4
Fw 2B 4 2 4
Dw 2U 4 2 4
Bw 2F 4 2 4
U 2U 4 4 4
R 2R 4 4 4
L 2L 4 4 4
F 2F 4 4 4
D 2D 4 4 4
B 2B 4 4 4
2U U 4 4 4
2R R 4 4 4
2L L 4 4 4
2F F 4 4 4
2D D 4 4 4
2B B 4 4 4
U U 2 1 2
R R 2 1 2
L L 2 1 2
F F 2 1 2
D D 2 1 2
B B 2 1 2
2U Uw 4 2 4
2R Rw 4 2 4
2L Lw 4 2 4
2F Fw 4 2 4
2D Dw 4 2 4
2B Bw 4 2 4
Uw 2U 4 2 4
Rw 2R 4 2 4
Lw 2L 4 2 4
Fw 2F 4 2 4
Dw 2D 4 2 4
Bw 2B 4 2 4
U Dw 4 4 4
R Lw 4 4 4
L Rw 4 4 4
F Bw 4 4 4
D Uw 4 4 4
B Fw 4 4 4
2U R 10 10 20
2U L 10 10 20
2U F 10 10 20
2U B 10 10 20
2R U 10 10 20
2R F 10 10 20
2R D 10 10 20
2R B 10 10 20
2L U 10 10 20
2L F 10 10 20
2L D 10 10 20
2L B 10 10 20
2F U 10 10 20
2F R 10 10 20
2F L 10 10 20
2F D 10 10 20
2D R 10 10 20
2D L 10 10 20
2D F 10 10 20
2D B 10 10 20
2B U 10 10 20
2B R 10 10 20
2B L 10 10 20
2B D 10 10 20
U 2R 10 10 20
U 2L 10 10 20
U 2F 10 10 20
U 2B 10 10 20
R 2U 10 10 20
R 2F 10 10 20
R 2D 10 10 20
R 2B 10 10 20
L 2U 10 10 20
L 2F 10 10 20
L 2D 10 10 20
L 2B 10 10 20
F 2U 10 10 20
F 2R 10 10 20
F 2L 10 10 20
F 2D 10 10 20
D 2R 10 10 20
D 2L 10 10 20
D 2F 10 10 20
D 2B 10 10 20
B 2U 10 10 20
B 2R 10 10 20
B 2L 10 10 20
B 2D 10 10 20
U 2D 4 4 4
R 2L 4 4 4
L 2R 4 4 4
F 2B 4 4 4
D 2U 4 4 4
B 2F 4 4 4
Uw U 4 4 4
Rw R 4 4 4
Lw L 4 4 4
Fw F 4 4 4
Dw D 4 4 4
Bw B 4 4 4
Uw Uw 2 2 2
Rw Rw 2 2 2
Lw Lw 2 2 2
Fw Fw 2 2 2
Dw Dw 2 2 2
Bw Bw 2 2 2
Uw Rw 15 15 15
Uw Lw 15 15 15
Uw Fw 15 15 15
Uw Bw 15 15 15
Rw Uw 15 15 15
Rw Fw 15 15 15
Rw Dw 15 15 15
Rw Bw 15 15 15
Lw Uw 15 15 15
Lw Fw 15 15 15
Lw Dw 15 15 15
Lw Bw 15 15 15
Fw Uw 15 15 15
Fw Rw 15 15 15
Fw Lw 15 15 15
Fw Dw 15 15 15
Dw Rw 15 15 15
Dw Lw 15 15 15
Dw Fw 15 15 15
Dw Bw 15 15 15
Bw Uw 15 15 15
Bw Rw 15 15 15
Bw Lw 15 15 15
Bw Dw 15 15 15
2U Rw 80 16 80
2U Lw 80 16 80
2U Fw 80 16 80
2U Bw 80 16 80
2R Uw 80 16 80
2R Fw 80 16 80
2R Dw 80 16 80
2R Bw 80 16 80
2L Uw 80 16 80
2L Fw 80 16 80
2L Dw 80 16 80
2L Bw 80 16 80
2F Uw 80 16 80
2F Rw 80 16 80
2F Lw 80 16 80
2F Dw 80 16 80
2D Rw 80 16 80
2D Lw 80 16 80
2D Fw 80 16 80
2D Bw 80 16 80
2B Uw 80 16 80
2B Rw 80 16 80
2B Lw 80 16 80
2B Dw 80 16 80
2U D 4 4 4
2R L 4 4 4
2L R 4 4 4
2F B 4 4 4
2D U 4 4 4
2B F 4 4 4
U D 4 1 4
R L 4 1 4
L R 4 1 4
F B 4 1 4
D U 4 1 4
B F 4 1 4
2U Dw 4 2 4
2R Lw 4 2 4
2L Rw 4 2 4
2F Bw 4 2 4
2D Uw 4 2 4
2B Fw 4 2 4
Uw 2R 80 16 80
Uw 2L 80 16 80
Uw 2F 80 16 80
Uw 2B 80 16 80
Rw 2U 80 16 80
Rw 2F 80 16 80
Rw 2D 80 16 80
Rw 2B 80 16 80
Lw 2U 80 16 80
Lw 2F 80 16 80
Lw 2D 80 16 80
Lw 2B 80 16 80
Fw 2U 80 16 80
Fw 2R 80 16 80
Fw 2L 80 16 80
Fw 2D 80 16 80
Dw 2R 80 16 80
Dw 2L 80 16 80
Dw 2F 80 16 80
Dw 2B 80 16 80
Bw 2U 80 16 80
Bw 2R 80 16 80
Bw 2L 80 16 80
Bw 2D 80 16 80
</pre>