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|Faces||4 triangles (as 2 hexagrams) |
|Vertex figure||Square, edge length 1|
|Measures (edge length 1)|
|Number of external pieces||38|
|Level of complexity||11|
|Convex core||Order-6-truncated hexagonal tegum|
|Abstract & topological properties|
|Symmetry||G2×A1, order 24|
The hexagrammic antiprism, compound of two triangular antiprisms, or compound of two octahedra, is a prismatic uniform polyhedron. It consists of 12 triangles and 2 hexagrams. Each vertex joins one hexagram and three triangles. As the name suggests, it is an antiprism based on a hexagram.
Its quotient prismatic equivalent is the digonal-triangular duoantiprism, which is four-dimensional.
A less-symmetric variant of the hexagrammic antiprism with golden hexagrams as bases occurs as a combocell type of every baby monster snub.
Vertex coordinates[edit | edit source]
A hexagrammic antiprism of edge length 1 has vertex coordinates given by: