Английская Википедия:Great triakis octahedron

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Шаблон:Short description Шаблон:Uniform polyhedra db

Файл:Great triakis octahedron.stl
3D model of a great triakis octahedron

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.

Proportions

The triangles have one angle of <math>\arccos(\frac{1}{4}+\frac{1}{2}\sqrt{2})\approx 16.842\,116\,236\,30^{\circ}</math> and two of <math>\arccos(\frac{1}{2}-\frac{1}{4}\sqrt{2})\approx 81.578\,941\,881\,85^{\circ}</math>. The dihedral angle equals <math>\arccos(\frac{-3+8\sqrt{2}}{17})\approx 60.722\,386\,809\,64^{\circ}</math>.

References

External links

Шаблон:Polyhedron-stub