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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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rubik s cube

Rubik’s Cube

Rory Begin

the rubik s cube
The Rubik’s Cube
  • Faces
    • F - front
    • B - back
    • L - left
    • R - right
    • U - up
    • D - down
construction
Construction
  • 27 small cubes
    • 26 are “real” and visible from the outside
  • “cubies”
  • “cubicles”
  • Center cubies stay in cubicles (don’t move”
naming
Naming
  • Cubies & Cubicles:
    • Corner ufr
    • Edge fr
    • Center f
moves
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
Legal Moves
  • Basic moves: rotate each face 90º “clockwise”
    • f
    • b
    • l
    • r
    • u
    • d

Move shown: f

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