Truncated triakis tetrahedron
| Truncated triakis tetrahedron | |
|---|---|
| Type | Fullerene, Near-miss Johnson solid |
| Faces | 4 hexagons 12 irregular pentagons |
| Edges | 42 |
| Vertices | 28 |
| Symmetry group | tetrahedral symmetry Td |
| Properties | convex |
| Net | |
In geometry, the truncated triakis tetrahedron is a convex polyhedron with 16 faces: four sets of three pentagons with a shared vertex, arranged in a tetrahedral arrangement, with four hexagons in the remaining gaps. The faces cannot all be regular polygons, so it is a near-miss Johnson solid. As a fullerene, it is called tetrahedral fullerene or C28 fullerene, and has been suggested as the smallest stable carbon fullerene.