Small intercepted ditetrahedronary trishecatonicosachoron

Small intercepted ditetrahedronary trishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Sand tathi
Elements
Cells	120 sidtid, 120 doe, 120 saddid
Faces	2400 triangles, 1440 pentagons, 720 pentagrams, 720 decagons
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\frac{\sqrt2+\sqrt{10}}{2} \approx 2.28825$
Number of external pieces	24120
Level of complexity	49
Related polytopes
Army	Hi
Regiment	Sidtaxhi
Conjugate	Gardatathi
Abstract & topological properties
Flag count	100800
Euler characteristic	1920
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small intercepted ditetrahedronary trishecatonicosachoron, or sand tathi, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 dodecahedra, and 120 small dodecicosidodecahedra. Four small ditrigonary icosidodecahedra, four dodecahedra, and twelve small dodecicosidodecahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small ditetrahedronary hexacosihecatonicosachoron.

External links

• Bowers, Jonathan. "Category 18: Ditetrahedrals" (#798).

• Klitzing, Richard. "Sand tathi".