Truncated triakis tetrahedron
| Truncated triakis tetrahedron | |
|---|---|
| |
| Type | Conway polyhedron |
| Faces | 4 hexagons 12 pentagons |
| Edges | 42 |
| Vertices | 28 |
| Dual|Hexakis truncated tetrahedron | |
| Vertex configuration | 4 (5.5.5) 24 (5.5.6) |
| Symmetry group | Td |
| Properties | convex |
The truncated triakis tetrahedron is a convex polyhedron with 16 faces: 4 sets of 3 pentagons arranged in a tetrahedral arrangement, with 4 hexagons in the gaps. It is constructed from taking a triakis tetrahedron by truncating the order-6 vertices. This creates 4 regular hexagon faces, and leaves 12 irregular pentagons.
A topologically similar equilateral polyhedron can be constructed by using 12 regular pentagons with 4 equilateral but nonplanar hexagons, each vertex with internal angles alternating between 108 and 132 degrees.
Full Truncation
A Triakis Tetrahedron can be fully truncated, not giving out this. The Full truncation is a special type of icosahedron, rather than a hexadecahedron. Another alternate truncation, or the "Low order truncation", will give out what looks like a Tetrahedron with each face raised by a low Triangular frustum. The dual to that truncation will be the "Triakis Truncated Tetrahedron". However, the full truncation is dual to a Trihexakis truncated tetrahedron.
See also
External links
- Johnson Solid Near Misses: Number 23
- George Hart's Polyhedron generator - "t6dtT" (Conway polyhedron notation)
 | This polyhedron-related article is a stub. You can help Wikipedia by expanding it. |