Disdyakis dodecahedron
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| Disdyakis dodecahedron | |
|---|---|
 Click on picture for large version. Click here for spinning version. |
|
| Type | Catalan |
| Face polygon | scalene triangle |
| Faces | 48 |
| Edges | 72 |
| Vertices | 26 = 6 + 8 + 12 |
| Face configuration | V4.6.8 |
| Symmetry group | octahedral (Oh) |
| Dihedral angle | 143° 7' 48" |
| Dual polyhedron | truncated cuboctahedron |
| Properties | convex, face-transitive |
 Net |
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A disdyakis dodecahedron, or hexakis octahedron, is a Catalan solid and the dual to the Archimedean truncated cuboctahedron. As such it is face-transitive but with irregular face polygons. It looks a bit like an inflated rhombic dodecahedron — if one replaces each face of the rhombic dodecahedron with a single vertex and four triangles in a regular fashion one ends up with a disdyakis dodecahedron.
[edit] See also
[edit] References
- Williams, Robert (1979). The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. ISBN 0-486-23729-X. (Section 3-9)
[edit] External links
- Eric W. Weisstein, Disdyakis dodecahedron (Catalan solid) at MathWorld.
- Disdyakis Dodecahedron (Hexakis Octahedron) -- Interactive Polyhedron Model
