See also Trihex Oddities, Tetrahex Oddities, and Hexahex Oddities. Mike Reid helped a lot with the pentahex oddities.
Click on the gray figures to expand them.
[ Basic Oddities
[ Holeless Variants
| Composite Solutions
| Nontrivial Variants
| Mirror-Symmetric Tilings ]
Basic Oddities
| Rowwise Bilateral | Columnwise Bilateral | Birotary | Double Bilateral | Sextuple Rotary | Full |
|---|---|---|---|---|---|
1
| 9
| 11
| 11
| ||
1
| 9
| ||||
1
| 3
| 5 Mike Reid | 5 Mike Reid | 11 Mike Reid | 11 Mike Reid |
1
| 9
| 9
| 9
| ||
3
| 5
| 7
| 11
(after Mike Reid) | 29
| 29
|
3
| 3
| 7
| 11
| 23
| 29
|
1
| 1
| 1
| 1
| 59
| 89
|
3
| 3
| 5
| 7 Mike Reid | 29
| |
3
| 3
| 5 Mike Reid | 9
| 17
| 35
|
3
| 3
| 5 Mike Reid | 9 Mike Reid | 17
| 23
|
3
| 3
| 3
| 5 Mike Reid | 17
| 29
|
3
| 3
| 5
| 7
| 11 Mike Reid | 11 Mike Reid |
5
| 1
| 11
| 15
| 41
| 47 Mike Reid |
3
| 5
| 7
| 11
| 23
| 35
|
7
| 3
| 1
| 7
| ||
9
| 1
| ||||
3
| 1
| 23
| 23
| ||
3
| 1
| 7
| 7
| 35
| 47
|
7
(squashed by Mike Reid) | 1
| 9
| 9
| 53
| 53
|
1
| 1
| 1
| 1
| 101
| |
3
| 5
| 7
| 9
| 17
| 17
|
5
| 5
| 7
| 15
| 17
| 17
|
Helmut Postl and Johann Schwenke found some of these full-symmetric oddities.
After Mike told me that a smaller solution probably existed, I found this one:
Last revised 2024-10-29.