Truncated Icosahedron - Area and Volume

Area and Volume

The area A and the volume V of the truncated icosahedron of edge length a are:

\begin{align} A & = \left ( 20 \cdot \frac32\sqrt{3} + 12 \cdot \frac54\sqrt{ 1 + 2/\sqrt{5}} \right ) a^2 \approx 72.607253a^2 \\ V & = \frac{1}{4} (125+43\sqrt{5}) a^3 \approx 55.2877308a^3. \\ \end{align}

Read more about this topic:  Truncated Icosahedron

Famous quotes containing the words area and/or volume:

    “Whether we regard the Women’s Liberation movement as a serious threat, a passing convulsion, or a fashionable idiocy, it is a movement that mounts an attack on practically everything that women value today and introduces the language and sentiments of political confrontation into the area of personal relationships.”
    —Arianna Stassinopoulos (b. 1950)

    “Bishop Berkeley destroyed this world in one volume octavo; and nothing remained, after his time, but mind; which experienced a similar fate from the hand of Hume in 1737.”
    —Sydney Smith (1771–1845)