Rubik’s Cube

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# Rubik’s Cube - PowerPoint PPT Presentation

Rubik’s Cube. Rory Begin. The Rubik’s Cube. Faces F - front B - back L - left R - right U - up D - down. Construction. 27 small cubes 26 are “real” and visible from the outside “cubies” “cubicles” Center cubies stay in cubicles (don’t move”. Construction. Naming.

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Presentation Transcript

### Rubik’s Cube

Rory Begin

The Rubik’s Cube
• Faces
• F - front
• B - back
• L - left
• R - right
• U - up
• D - down
Construction
• 27 small cubes
• 26 are “real” and visible from the outside
• “cubies”
• “cubicles”
• Center cubies stay in cubicles (don’t move”
Naming
• Cubies & Cubicles:
• Corner ufr
• Edge fr
• Center f
Moves
• Legal Moves - generated by {f,b,l,r,u,d}
• Illegal Moves - legal moves and all other reconfigurations of cube - no pulling off stickers
Legal Moves
• Basic moves: rotate each face 90º “clockwise”
• f
• b
• l
• r
• u
• d

Move shown: f

Legal Moves Group
• Elements: moves
• * means sequential moves
• Generated by {f, b, l, r, u, d}
Is a group?
• Closed
• Identity - “empty move”
• Inverses - can undo any move
• Associative - think about doing 3 moves
Properties
• Not abelian