Petrial stella octangula

Petrial stella octangula
Rank	3
Type	Regular
Elements
Components	2 Petrial tetrahedra
Faces	6 skew squares
Edges	12
Vertices	8
Vertex figure	Triangle
Petrie polygons	8 triangles
Measures (edge length 1)
Circumradius	${\frac {\sqrt {6}}{4}}\approx 0.61237$
Related polytopes
Army	Cube, edge length ${\sqrt {2}}/2$
Regiment	So
Petrie dual	Stella octangula
Convex hull	Cube
Abstract & topological properties
Flag count	48
Euler characteristic	2
Orientable	No
Genus	0
Properties
Symmetry	B3, order 48
Convex	No

The Petrial stella octangula, or compound of two Petrial tetrahedra, is a flag-transitive skew polyhedron compound in 3-dimensional Euclidean space. It is formed as the compound of two Petrial tetrahedra or as the Petrie dual of the stella octangula.

Vertex coordinates

The vertex coodinates of the Petrial stella octangula are the same as those of the stella octangula.