Great stellated tetracontoctachoron
|Great stellated tetracontoctachoron|
|Bowers style acronym||Gistic|
|Vertex figure||Stella octangula, edge length √|
|Measures (edge length 1)|
|Dual||Small stellated tetracontoctachoron|
|Conjugate||Great stellated tetracontctachoron|
|Abstract & topological properties|
|Symmetry||F4×2, order 2304|
The great stellated tetracontoctachoron or gistic is a regular compound polychoron. It is a compound of six tesseracts. It has 48 cubes as cells, with 8 cells joining at each vertex. It can also be seen as a compound of two great icositetrachora in opposite orientations, formed by replacing each icositetrachoron in the stellated tetracontoctachoron with a great icositetrachoron containing the same vertices and edges.
Like the great icositetrachoron, this compound has fissary vertices, with two components meeting per vertex.
Vertex coordinates[edit | edit source]
The vertices of a great stellated tetracontoctachoron of edge length 1, centered at the origin, are given by all permutations of: