Great triakis octahedron | |
---|---|
Type | Star polyhedron |
Face | |
Elements | F = 24, E = 36 V = 14 (χ = 2) |
Symmetry group | Oh, [4,3], *432 |
Index references | DU19 |
dual polyhedron | Stellated truncated hexahedron |
In geometry, the great triakis octahedron is the dual of the stellated truncated hexahedron (U19). It has 24 intersecting isosceles triangle faces. Part of each triangle lies within the solid, hence is invisible in solid models.
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Transcription
Proportions
The triangles have one angle of and two of . The dihedral angle equals .
References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
External links
- Mathworld - Great Triakis Octahedron
- Mathworld - Small Triakis Octahedron
- Uniform polyhedra and duals