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.

CellsTwo-SidedOne-Sided
111
246
33256
4345673
54 4868 889

The diagrams below show only the distinct two-sided polypexes.

Monopex

Dipexes

Tripexes

Last revised 2024-10-30.


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Col. George Sicherman [ HOME | MAIL ]