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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.

Rubik’s Cube

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## Rubik’s Cube

Rory Begin

• 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

• <G,*>

• Elements: moves

• * means sequential moves

• Generated by {f, b, l, r, u, d}

### Is <G,*> a group?

• Closed

• Identity - “empty move”

• Inverses - can undo any move

• Associative - think about doing 3 moves

• Not abelian