Brick symmetric icosahedron faceting

The  or bissif, also called the spaceship, is an orbiform polyhedron. It consists of 8 triangles and 4 pentagons. As its name suggests, it is a faceting of the icosahedron.

It appears as a cell of the small digonal swirlprism.

Vertex coordinates
Its vertex coordinates are the same as those of the icosahedron.