Symmetry, Vol. 15, Pages 717: Near-Miss Symmetric Polyhedral Cages

Symmetry, Vol. 15, Pages 717: Near-Miss Symmetric Polyhedral Cages

Symmetry doi: 10.3390/sym15030717

Authors: Bernard M. A. G. Piette Árpad Lukács

Following the experimental discovery of several nearly symmetric protein cages, we define the concept of homogeneous symmetric congruent equivalent near-miss polyhedral cages made out of P-gons. We use group theory to parameterize the possible configurations and we minimize the irregularity of the P-gons numerically to construct all such polyhedral cages for P=6 to P=20 with deformation of up to 10%.