Semicupolaically-faceted icosahedron

The , or scuffi, is an orbiform polyhedron. It consists of 7 triangles and 3 pentagons.

Vertex coordinates
The vertices of a of edge length 1 are given by all sign changes of none or one of the nonzero coordinates of:


 * $$\left(0,\,\frac{1}{2},\,\frac{1+\sqrt{5}}{4}\right),$$
 * $$\left(\frac{1}{2},\,\frac{1+\sqrt{5}}{4},\,0\right),$$
 * $$\left(\frac{1+\sqrt{5}}{4},\,0,\,\frac{1}{2}\right).$$

Related polyhedra
As its name suggests, it is a faceting of the icosahedron. It can also be obtained by blending together three pentagonal pyramids, the three of them all sharing a triangle.

It appears as a cell of the disnub disicositetrachoron.