Polydrafter

In recreational mathematics, a polydrafter is a polyform with a 30°–60°–90° right triangle as the base form.

Any contiguous subset of halves of triangles in this tiling is allowed, so unlike most polyforms, a polydrafter may have cells joined along unequal edges: a hypotenuse and a short leg.

[2] The term polydrafter was coined by Ed Pegg Jr., who also proposed as a puzzle the task of fitting the 14 tridrafters—all possible clusters of three drafters—into a trapezoid whose sides are 2, 3, 5, and 3 times the length of the hypotenuse of a drafter.

[3] An extended polydrafter is a variant in which the drafter cells cannot all conform to the triangle (polyiamond) grid.

With two or more cells, the numbers are greater if extended polydrafters are included.