Dodecahedron
object · 1 work · 2 mentions · 9 anchored passages
dodecahedron · dodecahedra · the dodecahedron
in the texts
Elements
One of the five regular (Platonic) solids, historically attributed to the Pythagoreans and discussed via comparison to the icosahedron.
After Euclid, Apollonius wrote on the comparison of the dodecahedron and the icosahedron inscribed in one and the same sphere.
The same circle circumscribes both the pentagon of the dodecahedron and the triangle of the icosahedron when both are inscribed in the same sphere.
And it appears that dodecahedra have been found, of bronze or other material, which may belong to periods earlier than Pythagoras' time by some centuries (for references see Cantor's Geschichte der Mathematik I_{3}, pp.