Great cupolic cubitesseractihexadecachoron

Great cupolic cubitesseractihexadecachoron
Rank	4
Type	Scaliform
Notation
Bowers style acronym	Gacucoth
Elements
Cells	16 tet 8+16 cube 16 rasquacu (as 8 compounds of 2)
Faces	64 triangles 16+32+64 squares 8 octagrams
Edges	32+64 3-fold 64 4-fold 32 5-fold
Vertices	64
Vertex figure	Faceting of triangular podium
Measures (edge length 1)
Circumradius	${\sqrt {\frac {3-{\sqrt {2}}}{2}}}\approx 0.89045$
Central density	7
Related polytopes
Army	Tat
Regiment	Gittith
Conjugate	Small cupolic cubitesseractihexadecachoron
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	B2≀S2, order 128
Convex	No
Nature	Wild

The great cupolic cubitesseractihexadecachoron or gacucoth is a scaliform polychoron that consists of 16 tetrahedra, 8+16 cubes, and 16 retrograde square cupolas which are in pairs that are a blend of a quasirhombicuboctahedron with an octagrammic prism. 1 tetrahedron, 3 cubes, and 3 retrograde square cupolas meet each vertex.

It can be formed as a blend of a great tesseractifaceted cubitesseractihexadecachoron and an octagrammic diorthoprism.

External links

• Bowers, Jonathan. "Category S2: Podary Scaliforms" (#S16).