10-2 gyrochoron

The 10-2 gyrochoron, also known as mobius 10, is a convex isochoric polychoron and member of the gyrocohron family with 10 ridge-ditruncated wedges as cells. It is one of four isochoric polychora with 10 vertices, and the only one to have gyrochoron symmetry as its highest symmetry form.

Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric octagons, 1 rhombus, 4 kites, and 2 isosceles triangles for faces, and shares a face with every other cell.