Great fusidistesseract

Great fusidistesseract
(OFF file)
Rank	4
Type	Scaliform
Notation
Bowers style acronym	Gufdit
Elements
Cells	16 sissid (as 8 passipsido) 48 tustip
Faces	192 squares 192 pentagrams
Edges	384 3-fold 96 6-fold
Vertices	96
Vertex figure	Blend of 2 pentagonal pyramids at a lacing edge
Measures (edge length 1)
Circumradius	${\sqrt {\frac {7-{\sqrt {5}}}{8}}}\approx 0.7716809592$
Hypervolume	$0$
Related polytopes
Army	Semi-uniform tah
Regiment	Gufdit
Conjugate	Small fusidistesseract
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	B4, order 384
Convex	No
Nature	Tame

The great fusidistesseract is a scaliform polychoron. It consists of 16 small stellated dodecahedra and 48 blends of 2 pentagrammic prisms. It is a blend of 8 small stellated dodecahedral prisms.

Vertex coordinates

The vertices of a great fusidistesseract of edge length 1 are given by all permutations of:

• $\left(0,\,\pm {\frac {1}{2}},\,\pm {\frac {{\sqrt {5}}-1}{4}},\,\pm {\frac {1}{2}}\right).$

External links

• Bowers, Jonathan. "Category S3: Special Scaliforms" (#S60).