Small small prismatodistetracontoctachoron

Small small prismatodistetracontoctachoron
Rank	4
Type	Scaliform
Notation
Bowers style acronym	Sispiddic
Elements
Cells	144 op 48 sroh 48 shadpib
Faces	576+1152 squares 288 octagons 144 hexadecagons
Edges	1152+1152 3-fold 1152 4-fold
Vertices	1152
Vertex figure	Skew crossed butterfly wedge
Measures (edge length 1)
Circumradius	${\sqrt {{\frac {6+3{\sqrt {2}}}{2}}+{\sqrt {\frac {10+7{\sqrt {2}}}{2}}}}}\approx 2.87674$
Related polytopes
Army	Mabiparc
Regiment	Sispiddic
Convex core	Tetracontoctachoron
Abstract & topological properties
Euler characteristic	-384
Orientable	No
Properties
Symmetry	F4×2, order 2304
Convex	No
Nature	Tame

The small small prismatodistetracontoctachoron is a scaliform polychoron that consists of 144 octagonal prisms, 48 small rhombihexahedra, and 48 small hexadecagonal prismatic blends. 4 octagonal prisms and 1 each of the other types of cells meet at each vertex.

It can be formed as a blend of 18 8-16 duoprisms.

External links

• Bowers, Jonathan. "Category S6: Hexadecagonal Scaliforms".