Icosahedron calculator

This function calculates various properties of an icosahedron. An icosahedron is a solid with 20 sides, 30 edges and 12 vertices. To perform the calculation, select the property you know and enter its value. Then click the Calculate button.

Icosahedron calculator  Input Delete Entries Seitenlänge Volumen Oberfläche Diagonale Eckenradius Kantenradius Innenradius Decimal places 0 1 2 3 4 6   Resultate Edge length a Volume V Surface area S Diagonal d Circum radius Rc Mid radius Rm Inner radius Ri

Formulas for calculating an icosahedron

Volume	\(\displaystyle V=\frac{5}{12}· a^3·(3+\sqrt{5})\)
Surface area	\(\displaystyle S= 5 · a^2 · \sqrt{3}\)
Circum radius	\(\displaystyle Rc=\frac{a}{4} · \sqrt{10 + 2 · \sqrt{5}} \)
Mid radius	\(\displaystyle Rm=\frac{a}{4} · (1 +\sqrt{5}) \)
Inner radius	\(\displaystyle Ri=\frac{a}{12} · \sqrt{3} ·(3 +\sqrt{5}) \)
Diagonal	\(\displaystyle d=2 · Rc \)