This is the convex hull of a toroid
recently discovered by Robert Webb.

It was built with 12 green decagons,
30 red dodecagons (made up of a
hexagon with square with 6 squares and 6 small equilateral triangles around it) and
80 yellow small equilateral triangles.
This is a Near Miss as the dodecagons
are not quite regular, although all edges
have equal length.