Faces: | 92: 20 equilateral triangles 60 isosceles triangles 12 decagons |
Edges: | 180 |
Vertices: | 90 |
Symmetry: | order 120 |
Rotation Group: | order 60 |
Dual: | Joined truncated dodecahedron |
Properties: | convex |
Net: | Rectified truncated dodecahedron net.png |
In geometry, the rectified truncated dodecahedron is a convex polyhedron, constructed as a rectified, truncated dodecahedron. It has 92 faces: 20 equilateral triangles, 60 isosceles triangles, and 12 decagons.
Topologically, the triangles corresponding to the dodecahedrons's vertices are always equilateral, although the decagons, 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 dodecahedron can be seen in sequence of rectification and truncation operations from the dodecahedron. Further truncation, and alternation operations creates two more polyhedra: