One-Sided Pentahex Oddities

A polyhex oddity is a plane figure with binary symmetry formed by joining an odd number of copies of a polyhex.

A one-sided tile is one that may be rotated but not reflected. Here are the minimal known oddities for the 11 one-sided pentahexes that lack mirror symmetry. Please write if you find a smaller solution or solve an unsolved case.

For two-sided pentahexes, see Pentahex Oddities.

Rowwise Mirror Columnwise Mirror Birotary Double
Mirror
Sextuple
Rotary
Full
3
5
15
     
3
3
11
     
3
3
31
     
3
3
13
     
3
3
7
13
71
83
3
3
11
19
   
3
3
9
17
29
41
3
7
9
     
7
3
1
7
   
3
7
7
19
23
53
9
5
13
25
   

Holeless Variants

Rowwise Mirror

Columnwise Mirror

Birotary

Double Mirror

Sextuple Rotary

Full

Last revised 2024-11-23.


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Col. George Sicherman [ HOME | MAIL ]