Muoctahedron

The muoctahedron or muo, short for multiple octahedron, is one of the three regular skew apeirohedra in Euclidean 3-space. It&rsquo;s an infinite polyhedron that consists solely of hexagons, with 4 meeting at each vertex.

The muoctahedron is based on the bitruncated cubic honeycomb. Its faces are the hexagonal faces of the bitruncated cubic honeycomb.

It can also be formed as a modwrap of the order-4 hexagonal tiling by identifying every 4th vertex on each hole.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the bitruncated cubic honeycomb.