Guy's Polyhedra Pages

Essays, current research
and random resources

One of the lost icosahedra Cornoid with a hollow vertex figure A spacefilling hendecahedron


Significant changes over the last couple of years or so.

Space-filling polyhedra

Illustrated essays, published and unpublished. Most include downloadable "nets" for printing off and making card models.

Stellation and facetting

Star polyhedra include some of the most beautiful mathematical shapes around (see for example my icosahedron pages). Their mathematical theory remains surprisingly primitive and incomplete.

General theory of polytopes and polyhedra

Reinventing the fundamental theory of polhyedra.


Miscellaneous polyhedra.

Other polyhedron resources.