Calculators and formulas for tetrakis hexahedron (or tetrahexahedron)
This function calculates various parameters of a tetrakis hexahedron (also known as a tetrahexahedron). Entering of one value is sufficient for the calculation; all other values are calculated from this.
The tetrakis hexahedron is a convex polyhedron composed of 24 isosceles triangles and is one of the Catalan solids. It has 14 corners and 36 edges.
To calculate a tetrakis hexahedron, select the property you know from the menu and enter its value. Then click on the 'Calculate' button.
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| Pyramid edge | \(\displaystyle b=\frac{3·a}{4}\) |
| Height | \(\displaystyle h=\frac{3·a}{2}\) |
| Surface | \(\displaystyle A=3·a^2·\sqrt{5}\) |
| Volume | \(\displaystyle V=\frac{3·a^3}{2}\) |
| Midsphere radius | \(\displaystyle R_K=\frac{a·\sqrt{2}}{2}\) |
| Insphere radius | \(\displaystyle R_I=\frac{3·a·\sqrt{5}}{10}\) |
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