Bowtie tegum

The bowtie tegum, also called the bowtie bipyramid or bobipyr, is an orbiform polyhedron. It is an edge-faceting of the octahedron, using 4 of its triangles and 2 of the central squares of the tetrahemihexahedron. The abstract bowtie tegum would have two pairs of triangles which in this polyhedron merge into squares.

This polyhedron is abstractly self-dual.

It appears as a cell in some scaliform polychora of the hexadecachoron regiment: the skew octahemioctachoron, the hemitesseractihemioctachoron, and the sesquitesseractihemioctachoron.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the octahedron.