Truncated Trickery
An investigation into the tilings of n-dimensional spaces by n-dimensional regular polyhedra, n > 2.

Jeremy Avnet Matt Chisholm
brainsik@cats.ucsc.edu strthrwr@cats.ucsc.edu

Regular Polyhedra

Duality

Truncatering

Is there a step further?

Finding Face-to-Face Angles

Face-to-face angles on the tetrahedron.
Face-to-face angles on the octahedron.
Face-to-face angles on the icosahedron.
Face-to-face angles on the dodecahedron.
What do we do with these numbers?

Tilings

Higher Dimensions

Conjectures

Some Tilings
the SRO updated 24th of November 1997