Calculations in a stellated octahedron (stella octangula). This is a regular octahedron with a matching tetrahedron attached to each of its faces. It can also be seen as two intersecting tetrahedra, which are point symmetric to each other. The edge length a of the stellated octahedron is similar to the edge length of the two intersecting tetrahedra, the edge length of the peaks (ridges) b is similar to the edge length of the original octahedron. Enter a or b and choose the number of decimal places. Then click Calculate.
a = 2 * b
rc = a / 4 * √6
A = 3/2 * a² * √3
V = a³ / 8 * √2
Lengths and radius have the same unit (e.g. meter), the surface has this unit squared (e.g. square meter), the volume has this unit to the power of three (e.g. cubic meter). A/V has this unit -1.