| Faces: | 20: 4 equilateral triangles 12 isosceles triangles 4 hexagons |
| Edges: | 48 |
| Vertices: | 12+18 |
| Symmetry: | order 24 |
| Rotation Group: | order 12 |
| Dual: | Joined truncated tetrahedron |
| Properties: | convex |
| Net: | Rectified truncated tetrahedron net.png |
In geometry, the rectified truncated tetrahedron is a polyhedron, constructed as a rectified, truncated tetrahedron. It has 20 faces: 4 equilateral triangles, 12 isosceles triangles, and 4 regular hexagons.
Topologically, the triangles corresponding to the tetrahedron's vertices are always equilateral, although the hexagons, while having equal edge lengths, do not have the same edge lengths with the equilateral triangles, having different but alternating angles, causing the other triangles to be isosceles instead.
The rectified truncated tetrahedron can be seen in sequence of rectification and truncation operations from the tetrahedron. Further truncation, and alternation operations creates two more polyhedra: