Similar Polyaboloes Tiling an Octagon

A polyabolo or polytan is a plane figure formed by joining equal isosceles right triangles along equal edges. A few polyaboloes can form a quasi-regular octagon 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.