Bi-tridiminished icosahedron

The bi-tridiminished icosahedron, or bitdi, is a polyhedron obtained by diminishing 2 sets of 3 vertices from a regular icosahedron. It has 4 isosceles triangles and 2 isosceles trapezoids as faces, and is self-dual. It occurs as the vertex figure of the bi-icositetradiminished hexacosichoron.