Great cubiprismatotesseractioctachoron

Great cubiprismatotesseractioctachoron
Rank	4
Type	Scaliform
Notation
Bowers style acronym	Gocapto
Elements
Cells	32 trip 8+16 cube 8 gocco⊕stop
Faces	64 triangles 16+32+32+64 squares 16 octagrams
Edges	32+32 4-fold 64+64 5-fold
Vertices	64
Vertex figure	Faceting of triangular podium
Measures (edge length 1)
Circumradius	${\sqrt {\frac {3-{\sqrt {2}}}{2}}}\approx 0.89045$
Related polytopes
Army	Tat
Regiment	Gittith
Conjugate	Small cubiprismatotesseractioctachoron
Abstract & topological properties
Orientable	No
Properties
Symmetry	B2≀S2, order 128
Convex	No
Nature	Wild

The great cubiprismatotesseractioctachoron or gocapto is a scaliform polychoron that consists of 32 triangular prisms, 8+16 cubes, and 8 blends of great cubicuboctahedron and octagrammic prism. 3 triangular prisms, 3 cubes, and 3 blends meet at each vertex.

It can be formed as a blend of a prismatocubintercepted tesseract and an octagrammic diorthoprism.

External links

• Bowers, Jonathan. "Category S2: Podary Scaliforms" (#S19).