Rectified truncated dodecahedron
Convex polyhedron with 92 faces From Wikipedia, the free encyclopedia
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.
Rectified truncated dodecahedron | |
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Faces | 92: 20 equilateral triangles 60 isosceles triangles 12 decagons |
Edges | 180 |
Vertices | 90 |
Schläfli symbol | rt{5,3} |
Conway notation | atD |
Symmetry group | Ih, [5,3], (*532), order 120 |
Rotation group | I, [5,3]+, (532), order 60 |
Dual polyhedron | Joined truncated dodecahedron |
Properties | convex |
Net | |
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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.
Related polyhedra
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:
See also
References
External links
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