Guy's Polyhedra Pages

Essays, current research
and random resources

Updated 1 May 2019

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

News

Significant changes over the last couple of years or so.

Space-filling polyhedra

Illustrated essays, published and unpublished. Most have links to printable "nets" for 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

The serious interest department.

Miscellaneous

Other polyhedron resources.