Catalogue of Polyfetts

A polyfett is a figure made of equal isosceles right triangles on the quadrille grid, joined along equal edges or at vertices. It is a generalization of a polyabolo or polytan.

Here I show all the polyfetts with from 1 to 3 cells.

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

As with polyaboloes (polytans), congruent shapes are identified, without regard to how they may be constructed from single cells.

Enumeration

OrderTwo-SidedOne-Sided
111
21015
390170
41 4142 766
523 13646 127
6406 093811 265
77 303 81314 605 298
8134 027 098

The figures below show two-sided polyfetts.

Monofett

Difetts

Trifetts

Last revised 2020-09-27.


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Col. George Sicherman [ HOME | MAIL ]