Catalogue of Polypexes
A polypex is a plane figure made by joining Alexandre Muñiz's
fifth-hex cells edge to edge:
Three, four, or five copies of this cell can surround a point.
Here I show all the polypexes with 1, 2, or 3 cells.
Enumeration
In this table, two-sided polypexes are identified
with their mirror images.
One-sided polypexes are distinguished from their mirror images.
For any number of cells greater than 1, there are more one-sided polypexes
than two-sided polypexes.
Cells | Two-Sided | One-Sided |
1 | 1 | 1 |
2 | 4 | 6 |
3 | 32 | 56 |
4 | 345 | 673 |
5 | 4 486 | 8 889 |
The diagrams below show only the distinct two-sided polypexes.
Monopex
Dipexes
Tripexes
Last revised 2024-10-30.
Back to Polyform Catalogues
<
Polyform Curiosities
Col. George Sicherman
[ HOME
| MAIL
]