Great hexadecadisoctachoron

Great hexadecadisoctachoron
Rank	4
Type	Scaliform
Notation
Bowers style acronym	Shado
Elements
Cells	16 tet 8 cube 8 gocco⊕stop
Faces	64 triangles 16+32 squares 16 octagrams
Edges	128 3-fold 32 4-fold
Vertices	64
Vertex figure	Skew trapezoidal pyramid
Measures (edge length 1)
Circumradius	${\sqrt {\frac {3-{\sqrt {2}}}{2}}}\approx 0.89045$
Central density	1
Related polytopes
Army	Tat
Regiment	Gittith subregiment
Conjugate	Small hexadecadisoctachoron
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	B2≀S2, order 128
Convex	No
Nature	Tame

The great hexadecadisoctachoron or gahdo is a scaliform polychoron that consists of 16 tetrahedra, 8 cubes, and 8 blends of great cubicuboctahedron and octagrammic prism. 1 tetrahedron, 1 cube, and 3 blends meet at each vertex.

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

This polychoron is in a subregiment of gittith, as it has its vertices and some but not all of its edges.

External links

• Bowers, Jonathan. "Category S2: Podary Scaliforms" (#S18).