Tetrakis Hexahedron (Tetrahexahedron)
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.
|
Tetrakis Hexahedron Formulas
Pyramid edge (\(\small{b}\))
\(\displaystyle b=\frac{3·a}{4}\)
Height (\(\small{h}\))
\(\displaystyle h=\frac{3·a}{2}\)
Surface (\(\small{S}\))
\(\displaystyle S=3·a^2·\sqrt{5}\)
Volume (\(\small{V}\))
\(\displaystyle V=\frac{3·a^3}{2}\)
Midsphere radius (\(\small{R_K}\))
\(\displaystyle R_K=\frac{a·\sqrt{2}}{2}\)
Insphere radius (\(\small{R_I}\))
\(\displaystyle R_I=\frac{3·a·\sqrt{5}}{10}\)
|
|