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