Triangular cupolaic blend

Triangular cupolaic blend
Rank	3
Type	Segmentotope
Elements
Faces	2 triangles as 1 hexagram 6 triangles 6 squares
Edges	6+6+12
Vertices	6+6
Vertex figure	6 (3.4.3.4) 6 (3.4.3/2.4/3)
Measures (edge length 1)
Circumradius	$1$
Volume	$0$
Height	Hexagram atop pseudo hexagon: ${\frac {\sqrt {6}}{3}}\approx 0.8164965809$
Number of external pieces	26
Related polytopes
Convex hull	Hexagonal antipodium
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	G2×I, order 12
Convex	No
Nature	Tame

The triangular cupolaic blend is a segmentohedron. It consists of 8 triangles and 6 squares. It is a cupolaic blend of two triangular cupolas sharing a hexagonal face which blends out.

It is a segmentohedron as a hexagram atop pseudo hexagon.

It is isomorphic to the cuboctahedron.

External links

• Klitzing, Richard. Cupolaic Blends.