Great ditetrahedrofissary dishecatonicosachoron

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Great ditetrahedrofissary dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGadtifady
Coxeter diagram(x3o5/2x3o5/2*a5/3*c)/2
Elements
Cells120 great icosidodecahedra, 120 great dodecicosidodecahedra
Faces2400 triangles, 1440 pentagrams, 720 decagrams
Edges3600
Vertices600
Vertex figureCompound of 3 rectangular trapezoprisms, edge lengths 1 and (5–1)/2 (base) and (5–5)/2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesGid–3–gaddid: 120°
 Gaddid–10/3–gaddid: 108°
 Gid–5/2–gaddid: 108°
Related polytopes
ArmyHi
RegimentGadtaxady
ConjugateSmall ditetrahedrofissary dishecatonicosachoron
Abstract & topological properties
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great ditetrahedrofissary dishecatonicosachoron, or gadtifady, is a nonconvex fissary uniform polychoron that consists of 120 great icosidodecahedra and 120 great dodecicosidodecahedra. 6 great icosidodecahedra and 12 great dodecicosidodecahedra join at each vertex.

It is fissary with vertices coinciding by 3, and edges coinciding by two.

Vertex coordinates[edit | edit source]

Its vertices are in the same positions as those of its regiment colonel, the grand ditetrahedronary hexacosidishecatonicosachoron.

External links[edit | edit source]