Great triakis octahedron

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

• Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208

• Mathworld - Great Triakis Octahedron
• Mathworld - Small Triakis Octahedron
• Uniform polyhedra and duals

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