Polyiamond


Definition

"A polyiamond ... is a polyform whose base form is an equilateral triangle." https://en.wikipedia.org/wiki/Polyiamond "Connected combinations of equilateral triangles can be called triangular animals ..." Polyominoes Solomon W. Golomb page 90 A polyiamond is a polyform whose base form is an equilateral triangle.
THEOREM    "... if a polyiamond tiles an equilateral triangle, it will also be a rep-tile." https://en.wikipedia.org/wiki/Rep-tile#Rep-tiles_and_polyforms Theorem: If a polyiamond tiles an equilateral triangle, then it's a rep-tile. TODO: Proof (Is a proof necessary?)

Proof unavailable

Proper subsets