Petrial mutetrahedron

The Petrial mutetrahedron is a regular skew apeirohedron in 3-dimensional Euclidean space. It is the Petrie dual of the mutetrahedron, and it has 6 triangular helices meeting at a vertex.

Vertex coordinates
The petrial mutetrahedron's coordinates are the same as the mutetrahedron and therefore the cyclotruncated tetrahedral-octahedral honeycomb.