Rubiks Cube/Patterns
From charlesreid1
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
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