| Great deltoidal icositetrahedron | |
|---|---|
| |
| Type | Star polyhedron |
| Face | 
|
| Elements | F = 24, E = 48 V = 26 (χ = 2) |
| Symmetry group | Oh, [4,3], *432 |
| Index references | DU17 |
| dual polyhedron | Nonconvex great rhombicuboctahedron |
In geometry, the great deltoidal icositetrahedron (or great sagittal disdodecahedron) is the dual of the nonconvex great rhombicuboctahedron. Its faces are darts. Part of each dart lies inside the solid, hence is invisible in solid models.
One of its halves can be rotated by 45 degrees to form the pseudo great deltoidal icositetrahedron, analogous to the pseudo-deltoidal icositetrahedron.