Ditrigonal polyhedron
Ditrigonal polyhedra are a group of uniform shapes in geometry that share triangular symmetry. They come in several forms, each with two kinds of faces: triangles, pentagons, or pentagrams. Their vertex patterns are p.q.p.q.p.q or (p.q)3, and they have 3-fold symmetry.
- Five non-star uniform ditrigonal polyhedra exist, all with icosahedral symmetry.
- Three uniform star ditrigonal polyhedra exist when p and q are not 2, with Wythoff symbols 3 | p q or 3/2 | p q.
- The small and great ditrigonal dodecicosidodecahedra are also uniform.
Their duals are the small ditrigonal dodecacronic hexecontahedron and the great ditrigonal dodecacronic hexecontahedron.
What “ditrigonal” means: a hexagon with triangular symmetry that creates two rotational families of angles in the vertex figure—two sets of three angles.
The two uniform shapes, the small and great ditrigonal dodecacronic hexecontahedra, are the duals of the two dodecicosidodecahedra mentioned above.
This page was last edited on 3 February 2026, at 00:39 (CET).