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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| Pyramid edge | \(\displaystyle b=(2-\sqrt{2}) ·a\) \(\displaystyle ≈0.5858 ·a\) |
| Surface | \(\displaystyle A=6·a^2·\sqrt{23-16·\sqrt{2}}\) \(\displaystyle ≈a^2 ·3.66\) |
| Volume | \(\displaystyle V=(2-\sqrt{2})·a^3\) \(\displaystyle ≈0.5858 ·a^3\) |
| Midsphere radius | \(\displaystyle R_K=\frac{a}{2}\) |
| Insphere radius | \(\displaystyle R_I= a·\sqrt{\frac{5+2·\sqrt{2}}{34}}\) \(\displaystyle ≈a ·0.48\) |
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