Hexiamond Oddities

A polyiamond oddity is a figure with binary symmetry formed by an odd number of copies of a polyiamond. Here are the minimal known oddities for the 12 hexiamonds. Click on the figures with pink backgrounds to expand them.

See also Pentiamond, Heptiamond, and Enneiamond Oddities and Octiamond Oddities.

Johann and Carl Schwenke found improved holeless solutions for the H hexiamond.

Rowwise
Bilateral
Columnwise
Bilateral
Birotary on EdgeBirotary on Vertex Double
Bilateral
on Edge
Double
Bilateral
on Vertex
Sextuple
Rotary
Full
1
9
11
45
11
  45
 
3
1
11
3
11
3
3
3
9
5
7
9
25
9
9
9
3
3
1
5
3
5
9
9
3
3
3
3
7
3
3
3
3
None None None None None None None
1
1
None 1
None 1
1
1
3
None None None None None None None
5
3
1
9
5
21
43
 
3
3
9
3
25
9
3
9
1
1
1
None 1
None None None
1
          None None

Holeless Variants

Rowwise Bilateral

Columnwise Bilateral

Birotary on Edge

Birotary on Vertex

Double Bilateral on Vertex

Sextuple Rotary

Full

Last revised 2021-12-02.


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Col. George Sicherman [ HOME | MAIL ]