Polyomino Cubes

All images Abaroth, 2016. Permission is given to reproduce for non-profit purposes only.

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The challenge is to cover the surface of a cube using polyominoes.  If we allow the pieces to bend around the edges, then cubes with non-integer edges can be covered.

Monomino: Edge Length = 1

Simply attach a monomino to each face of a unit cube.

 

Domino: Edge Length = 1

 

Trominoes: Edge Length = 1

1 2

Unambiguous version on a cube with

√2 edge length by George Sicherman

 

Tetrominoes: Edge Length = √2 or 2

I O
L N T

 

Unambiguous Solutions

L N T

 

Pentomino Cubes

Hexomino Cubes

 

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