Area and Volume
The surface area A and the volume V of a regular icosahedron of edge length a are:
- A010527
- A102208
The latter is F=20 times the volume of a general tetrahedron with apex at the center of the inscribed sphere, where the volume of the tetrahedron is one third times the base area √3a2/4 times its height ri.
The volume filling factor of the circumscribed sphere is
Read more about this topic: Icosahedron
Famous quotes containing the words area and/or volume:
“I am aware of the damp souls of housemaids
Sprouting despondently at area gates.”
—T.S. (Thomas Stearns)
“A big leather-bound volume makes an ideal razorstrap. A thin book is useful to stick under a table with a broken caster to steady it. A large, flat atlas can be used to cover a window with a broken pane. And a thick, old-fashioned heavy book with a clasp is the finest thing in the world to throw at a noisy cat.”
—Mark Twain [Samuel Langhorne Clemens] (18351910)