Deltoidal icositetrahedron
| Deltoidal icositetrahedron | |
|---|---|
(rotating and 3D model) | |
| Type | Catalan |
| Conway notation | oC or deC |
| Coxeter diagram | |
| Face polygon | Kite with 3 equal acute angles & 1 obtuse angle |
| Faces | 24, congruent |
| Edges | 24 short + 24 long = 48 |
| Vertices | 8 (connecting 3 short edges) + 6 (connecting 4 long edges) + 12 (connecting 4 alternate short & long edges) = 26 |
| Face configuration | V3.4.4.4 |
| Symmetry group | Oh, BC3, [4,3], *432 |
| Rotation group | O, [4,3]+, (432) |
| Dihedral angle | same value for short & long edges: |
| Dual polyhedron | Rhombicuboctahedron |
| Properties | convex, face-transitive |
Net | |
D.i. as artwork and die
D.i. projected onto cube and octahedron in Perspectiva Corporum Regularium
Dyakis dodecahedron crystal model and projection onto octahedron
In geometry, the deltoidal icositetrahedron (or trapezoidal icositetrahedron, tetragonal icosikaitetrahedron, tetragonal trisoctahedron, strombic icositetrahedron) is a Catalan solid.