Similar Polyfetts Tiling a Square

A polyfett or polifetto is a plane figure formed by joining equal isosceles right triangles on the square grid along equal edges and at corners. It is a generalization of a polyabolo.

A few polyfetts can form a square by joining variously sized copies of themselves. Here I show some examples.

The tilings shown use as few tiles as I know how, and are not necessarily unique under this condition. If you find a tiling with fewer tiles, please write.

Only polyfetts that are not polyaboloes are shown here. See also Similar Polyaboloes Tiling a Square.



4 Tiles

6 Tiles

8 Tiles

9 Tiles

12 Tiles

14 Tiles

16 Tiles

18 Tiles

20 Tiles

24 Tiles

26 Tiles

36 Tiles

84 Tiles

88 Tiles

336 Tiles


Last revised 2021-01-28.

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Col. George Sicherman [ HOME | MAIL ]