# Heptahex Oddities

A heptahex *oddity*
is a figure with binary symmetry formed by an odd number of copies of
a heptahex.
Here are the minimal known oddities for heptahexes.
Please write if you find a smaller solution or solve an unsolved case.
Mike Reid
contributed improvements to some of these solutions.
For hexahexes, see
Hexahex Oddities.
For other orders of polyhexes, see
Polyhex Oddities.

[ Rowwise Bilateral
| Columnwise Bilateral
| Birotary
| Double Bilateral
| Sextuple Rotary
| Full
]

### 1 to 15 tiles

### 17 to 27 tiles

### 33 or more tiles

### Unsolved

### Impossible

### 1 to 7 tiles

### 9 to 11 tiles

### 13 to 21 tiles

### 27 or more tiles

### Unsolved

### 1 to 21 tiles

### 23 or more tiles

For heptahex tilings of straight and ragged regular hexagons,
see Tiling
a Hexagon Polyhex with a Heptahex.

### Holeless Variants

*Last revised 2024-10-08.*

Back to Polyform Oddities
<
Polyform Curiosities

Col. George Sicherman
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