Invertofrustary tetrishecatonicosachoron

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Invertofrustary tetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymIfthi
Elements
Cells120 gaddid, 120 gidditdid, 120 saddid, 120 sidditdid
Faces4800 triangles, 1440 pentagons, 1440 pentagrams, 1440 decagons, 1440 decagrams
Edges7200+7200
Vertices3600
Vertex figureInverted rectangular frustum, edge lengths 1 (top square), (1+5)/2 and (5–1)/2 (base rectangle), and (5–5)/2 (sides)
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Xhi
RegimentAffixthi
ConjugateNone
Abstract & topological properties
Euler characteristic–720
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The invertofrustary tetrishecatonicosachoron, or ifthi, is a nonconvex uniform polychoron that consists of 120 great dodecicosidodecahedra, 120 great ditrigonal dodecicosidodecahedra, 120 small dodecicosidodecahedra, and 120 small ditrigonal dodecicosidodecahedra. Two great dodecicosidodecahedra, two great ditrigonal dodecicosidodecahedra, two small dodecicosidodecahedra, and two small ditrigonal dodecicosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the antifrustary hexacositrishecatonicosachoron.

External links[edit | edit source]