Mutetrahedron

The mutetrahedron, short for multiple tetrahedron, is one of the three regular skew apeirohedra in Euclidean 3-space. It's an infinite polyhedron that consists solely of hexagons, with 6 meeting at each vertex.

The mutetrahedron is based on the quarter cubic honeycomb. Its faces are the hexagonal faces of the quarter cubic honeycomb, each trihexagonal tiling plane in it turns into a checkerboard pattern.

It can also be formed as a modwrap of the order-6 hexagonal tiling by identifying every 3rd vertex on each hole.

Derivatives

 * Dual: Mutetrahedron
 * Petrial: Petrial mutetrahedron