Abstract Polytopes

This site is, mainly, home to the Atlas of Small Regular Polytopes (The pre 2026-06-23 version is here) .

Other useful information :

• Polytopes Derived from Sporadic Simple Groups - Auxiliary Information (on this site)
• An atlas of small chiral polytopes (on this site)
• Articles on Wikipedia about Regular Polytopes and Abstract Polytopes.
• Frequently Asked Questions about the Atlas.
• Links to Publications about abstract polytopes.