Regular Polyhedra

Polyhedra in Euclidean space
The five platonic solids and two great polyhedra.

Regular tilings of Euclidean space

Tiling of Euclidean space
Regular tilings of R2 and R3.

Regular tilings of hyperbolic 3-space

Tiling of hyperbolic 3-space
The four regular tilings of H3.
All are stereographically projected to Euclidean space and depicted with a wide angle camera.