Great penteractipenteractitriacontaditeron

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Great penteractipenteractitriacontaditeron
Rank5
TypeUniform
Notation
Bowers style acronymGinnont
Coxeter diagramo3o3o3x4/3x4*c ()
Elements
Tera32 pentachora, 10 tesseracts, 10 great tesseractitesseractihexadecachora
Cells160 tetrahedra, 80 cubes, 40 great cubicuboctahedra
Faces320 triangles, 240 squares, 80 octagrams
Edges320+320
Vertices160
Vertex figureTetrahedral frustum, edge lengths 1 (small base), 2 (large base), and 2–2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Diteral anglesGittith–tet–pen:
 Gittith–gocco–gittith: 90°
 Gittith–cube–tes: 90°
Related polytopes
ArmyTan, edge length
RegimentGinnont
ConjugateSmall penteractipenteractitriacontaditeron
Abstract & topological properties
Flag count30720
OrientableYes
Properties
SymmetryB5, order 3840
ConvexNo
NatureTame

The great penteractipenteractitriacontaditeron, or ginnont, is a nonconvex uniform polyteron. It consists of 10 great tesseractitesseractihexadecachora, 10 tesseracts, and 32 pentachora. 4 great tesseractitesseractihexadecachora, 1 tesseract, and 1 pentachoron join at each vertex.

The great penteractipenteractitriacontaditeron contains the vertices of a great tesseractitesseractihexadecachoric prism, square-great cubicuboctahedral duoprism, and octagrammic-cubic duoprism.

Vertex coordinates[edit | edit source]

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

Related polytopes[edit | edit source]

The great penteractipenteractitriacontaditeron is the colonel of a regiment that contains a total of 15 uniform members. This regiment also has many subsymmetric scaliform members.

External links[edit | edit source]