Split Cube
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  • Designer:
Stewart Coffin
  • Material:
Aluminium stock and metacrilate tray
The original idea is to cut cubes into two identical halves and then rejoin them by their half-faces or quarter-faces all possible ways. The result is the 10 puzzle pieces shown below.
  • Pieces

10

 


A

B

C

D

E

F

G

H

I

J

 

  • Solutions

They pack into a 4x4x5 solid 15 different ways. 

If we eliminate the pieces that are themselves rectagular (E and J) and try to pack them into a 4x4x4 solid there are no solutions. We can find solutions by eliminating one and duplicating another from the remaining eight. But there are only to favorable situations: eliminate D and duplicate F (4 solutions ), or eliminate H and duplicate C (7 solutions ).

CGN, 2001, 2002

e-Mail: ea1ii@airtel.net

Last modified: 2002-09-16