Medial disdyakis triacontahedron
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Medial disdyakis triacontahedron | |
---|---|
Rank | 3 |
Type | Uniform dual |
Notation | |
Coxeter diagram | m5/3m5m |
Elements | |
Faces | 120 scalene triangles |
Edges | 60+60+60 |
Vertices | 12+12+30 |
Vertex figure | 30 squares, 12 decagons, 12 decagrams |
Measures (edge length 1) | |
Inradius | |
Dihedral angles | 120 edges: |
60 edges: | |
Central density | –3 |
Number of external pieces | 120 |
Related polytopes | |
Dual | Quasitruncated dodecadodecahedron |
Conjugate | Medial disdyakis triacontahedron |
Convex core | Non-Catalan disdyakis triacontahedron |
Abstract & topological properties | |
Flag count | 720 |
Euler characteristic | –6 |
Orientable | Yes |
Properties | |
Symmetry | H3, order 120 |
Convex | No |
Nature | Tame |
The medial disdyakis triacontahedron is a uniform dual polyhedron. It consists of 120 scalene triangles.
If its dual, the quasitruncated dodecadodecahedron, has an edge length of 1, then the triangle's short edges will be , the medium edges will be , and the long edges will be . The triangles have one interior angle of , one of , and one of .
Vertex coordinates[edit | edit source]
A medial disdyakis triacontahedron with dual edge length 1 has vertex coordinates given by all even permutations of:
External links[edit | edit source]
- Wikipedia contributors. "Medial disdyakis triacontahedron".
- McCooey, David. "Medial Disdyakis Triacontahedron"