Snub Dodecahedron - Surface Area and Volume

Surface Area and Volume

For a snub dodecahedron whose edge length is 1, the surface area is

and the volume is

where τ is the golden ratio.

The snub dodecahedron has the highest sphericity of all Archimedean solids.

Read more about this topic:  Snub Dodecahedron

Famous quotes containing the words surface, area and/or volume:

    “If the man who paints only the tree, or flower, or other surface he sees before him were an artist, the king of artists would be the photographer. It is for the artist to do something beyond this: in portrait painting to put on canvas something more than the face the model wears for that one day; to paint the man, in short, as well as his features.”
    —James Mcneill Whistler (1834–1903)

    “Now for civil service reform. Legislation must be prepared and executive rules and maxims. We must limit and narrow the area of patronage. We must diminish the evils of office-seeking. We must stop interference of federal officers with elections. We must be relieved of congressional dictation as to appointments.”
    —Rutherford Birchard Hayes (1822–1893)

    “She carries a book but it is not
    the tome of the ancient wisdom,
    the pages, I imagine, are the blank pages
    of the unwritten volume of the new.”
    —Hilda Doolittle (1886–1961)