Great Dodecahedron Calculator

Calculations at a great dodecahedron. This is the third of four Kepler-Poinsot polyhedra or regular star polyhedra, which are regular, non-convex (concave) polyhedra. The great dodecahedron is made from an icosahedron with edge length a, where on each face a regular triangular pyramid is removed, so that pentagonal faces appear.
Enter one value and choose the number of decimal places. Then click Calculate.

	Edge length (a):			12 faces, 60 sides, 30 edges a, 60 ridges s, 12 peaks Faces: 12 regular pentagons Sides: isosceles triangles with legs s and base a
	Ridge length (s):
	Circumsphere radius (rc):
	Pyramid height (hp):
	Surface area (A):
	Volume (V):
	Surface-to-volume ratio (A/V):
	Round to   0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15   decimal places.

Length, radius and height have the same unit (e.g. meter), surface areas have 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.