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|Bowers style acronym||Gico|
|Vertex figure||Stella octangula, edge length √2|
|Measures (edge length 1)|
|Symmetry||F4, order 1152|
The great icositetrachoron or gico is a regular compound polychoron. It is a compound of three tesseracts. It has 24 cubes as cells, with 8 cells joining at a vertex.
This compound has fissary vertices, with each vertex being used in two components and a compound (the stella octangula) for a vertex figure.
Its quotient prismatic equivalent is the tesseractic triorthowedge, which is six-dimensional.
Cross-sections[edit | edit source]
Vertex coordinates[edit | edit source]
The vertices of a great icositetrachoron of edge length 1, centered at the origin, are given by all permutations of:
The same great icositetrachoron in opposite orientation to this one has vertices given by all permutations of:
These are identical to those of a regular icositetrachoron, with which this compound shares its vertices and edges.
External links[edit | edit source]
- Klitzing, Richard. "gico".