Triakis Octahedron (Trigonal Trisoctahedron)
Calculators and formulas for triakis octahedron (or trigonal trisoctahedron)
This function calculates various parameters of a triakis octahedron (or trigonal trisoctahedron). Entering one value is sufficient for the calculation; all others are calculated from it.
The triakis octahedron is a convex polyhedron made up of 24 isosceles triangles. It has 14 corners and 36 edges.
To calculate a triakis octahedron, select the property you know from the menu and enter its value. Then click on the 'Calculate' button.
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Triakis Octahedron Formulas
Pyramid edge (\(\small{b}\))
\(\displaystyle b=(2-\sqrt{2}) ·a\) \(\displaystyle \ \ \ ≈0.5858 ·a\)
Surface (\(\small{S}\))
\(\displaystyle S=6·a^2·\sqrt{23-16·\sqrt{2}}\) \(\displaystyle \ \ \ ≈a^2 ·3.66\)
Volume (\(\small{V}\))
\(\displaystyle V=(2-\sqrt{2})·a^3\) \(\displaystyle \ \ \ ≈0.5858 ·a^3\)
Midsphere radius (\(\small{R_K}\))
\(\displaystyle R_K=\frac{a}{2}\)
Insphere radius (\(\small{R_I}\))
\(\displaystyle R_I= a·\sqrt{\frac{5+2·\sqrt{2}}{34}}\) \(\displaystyle \ \ \ ≈a ·0.48\)
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