Square cupolaic blend

Square cupolaic blend
Rank	3
Type	Segmentotope
Elements
Faces	8 triangles 2 squares as 1 stellated octagon 8 squares
Edges	8+8+16
Vertices	8+8
Vertex figure	8 (4.4.3.4) 8 (3.4.3/2.4/3)
Measures (edge length 1)
Circumradius	${\frac {\sqrt {5+2{\sqrt {2}}}}{2}}\approx 1.3989663260$
Volume	$0$
Height	Stellated octagon atop pseudo octagon: ${\frac {\sqrt {2}}{2}}\approx 0.7071067812$
Related polytopes
Conjugate	Retrograde square cupolaic blend
Convex hull	Octagonal antipodium
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	I2(8)×I, order 12
Convex	No
Nature	Tame

The square cupolaic blend is a segmentohedron. It consists of 8 triangles and 10 squares. It is a cupolaic blend of two square cupolas sharing an octagonal face which blends out.

It is a segmentohedron as a stellated octagon atop pseudo octagon.

It is isomorphic to the square gyrobicupola.

External links

• Klitzing, Richard. Cupolaic Blends.