Catalogue of Polymings

A polyming is a figure made of equal equilateral triangles on the polyiamond grid, joined along edges or at vertices. It is a generalization of a polyiamond. (In the Online Encyclopedia of Integer Sequences, David Bevan calls polymings polyglasses.)

Here I show all the polymings with from 1 to 4 cells.

Two-sided polymings are identified under reflection as well as rotation. One-sided polymings are distinguished under reflection. That is, if a polyming and its mirror image are distinct, both are counted.

Enumeration

OrderTwo-Sided One-Sided
111
233
31116
475129
55281 009
64 5848 997
740 60980 816
8373 981746 483
93 493 7236 983 847
1033 079 70266 146 105

The figures below show two-sided polymings.

Monoming

Dimings

Trimings

Tetramings

Last revised 2021-01-03.


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Col. George Sicherman [ HOME | MAIL ]