Triakis Tetrahedron
Calculators and formulas for triakis tetrahedron
This function calculates various parameters of a triakis tetrahedron. Entering one value is sufficient for the calculation; all others are calculated from it.
The triakis tetrahedron is a convex polyhedron made up of 12 isosceles triangles. It has 8 corners and 18 edges.
To calculate a triakis tetrahedron, select the property you know from the menu and enter its value. Then click on the 'Calculate' button.
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Triakis Tetrahedron Formulas
Pyramid edge (\(\small{b}\))
\(\displaystyle b= \frac{3·a·(9+\sqrt{5})}{38}\) \(\displaystyle\ \ \ b=\frac{3·a}{5}\)
Height (\(\small{h}\))
\(\displaystyle h=\frac{3·a·\sqrt{6}}{5}\)
Surface (\(\small{S}\))
\(\displaystyle S=\frac{3·a^2·\sqrt{11}}{5}\)
Volume (\(\small{V}\))
\(\displaystyle V=\frac{3·a^3·\sqrt{2}}{20}\)
Edge radius (\(\small{R_K}\))
\(\displaystyle R_K=\frac{a·\sqrt{2}}{4}\)
Inner radius (\(\small{R_I}\))
\(\displaystyle R_I=\frac{3·a}{4}·\sqrt{\frac{2}{11}}\)
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