Plato associated this form with the element of Fire because of the penetrating acuteness of its edges and vertices, and because it is the simplest and most fundamental of the regular solids.

TETRAHEDRON
fire
4 Faces : 6 Edges : 4 Vertices
ORTHOGRAPHIC
TETRAHEDRON

Plato associated this form with the element of Earth due to the stability and orientation of its square bases. Corresponds to the six directions North, South, East, West, zenith and nadir.

HEXAHEDRON
earth
6 Faces : 12 Edges : 8 Vertices
ORTHOGRAPHIC
HEXAHEDRON

Plato considered this form an intermediary between the tetrahedron, [Fire], and the Icosahedron, [Water] and thus ascribed it to the element of Air. [Considered both hot and wet].

octahedron
air
8 Faces : 12 Edges : 6 Vertices
ORTHOGRAPHIC
octahedron

Plato associated this form with Water, the densest and least penetrating of the three fluid elements; Fire, Air and Water. This form has the largest dihedral angles of all the Platonic Solids.

icosahedron
icosahedron
water
20 Faces : 30 Edges : 12 Vertices
ORTHOGRAPHIC
icosahedron

Having detailed the other four solids and ascribed them to the elements, Plato's Timaeus says: "There remained a fifth construction used for embroidering the constellations".

dodecahedron
ETHER
12 Faces : 30 Edges : 20 Vertices
ORTHOGRAPHIC
dodecahedron