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|Bowers style acronym||Gratet|
|Faces||6 rectangles, 4+4 ditrigons|
|Vertex figure||Scalene triangle|
|Measures (edge lengths a, c (of rectangle), b (between 2 ditrigons))|
|Symmetry||A3, order 24|
The great rhombitetratetrahedron, or gratet, is a convex semi-uniform polyhedron that is a tetrahedral-symmetric variant of the truncated octahedron. It has 2 sets of 4 ditrigons and 6 rectangles as faces. It generally has 3 types of edge lengths, connecting each pair of face types.
It can be alternated into a snub tetrahedron.
Vertex coordinates[edit | edit source]
A great rhombitetratetrahedron with edges of length a, b, and c, where a and c are the rectangle edges and b edges are between the two types of ditrigons, has vertex coordinates given by all permutation and even sign changes of: