Regular 3-polytopes of type $\{n,n\}$

Mingchao Li, Wei-Juan Zhang

For each integer \( n \geq 3 \), we construct a self-dual regular 3-polytope \( \mathcal{P} \) of type \( \{n, n\} \) with \( 2^n n \) flags, resolving two foundamental open questi…