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Great triakis octahedron
Polyhedron with 24 faces From Wikipedia, the free encyclopedia
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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.
Great triakis octahedron | |
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![]() | |
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 |

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Proportions
The triangles have one angle of and two of . The dihedral angle equals .
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References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
External links
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