Semicupolaically-faceted great icosahedron

The , or scufgi, is an orbiform polyhedron. It consists of 7 triangles and 3 pentagrams. As its name suggests, it is a faceting of the great icosahedron, and thus also of the small stellated dodecahedron. It can also be obtained by blending together three pentagrammic pyramids, the three of them all sharing a triangle.

It appears as a cell of the disnub disicositetrachoron.

Vertex coordinates
The vertices of a of edge length 1 are given by:

and all sign changes of none or one of the nonzero coordinates of:
 * $$\left(\pm\frac{1-\sqrt{5}}{4},\,0,\,\pm\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{1-\sqrt{5}}{4},\,0\right),$$
 * $$\left(0,\,\frac12,\,\frac{1-\sqrt{5}}{4}\right).$$