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Great triakis octahedron

Polyhedron with 24 faces From Wikipedia, the free encyclopedia

Great triakis octahedron
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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
Thumb
TypeStar polyhedron
FaceThumb
ElementsF = 24, E = 36
V = 14 (χ = 2)
Symmetry groupOh, [4,3], *432
Index referencesDU19
dual polyhedronStellated truncated hexahedron
Thumb
3D model of a great triakis octahedron
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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
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