I made one with five equatorial hexagons, then five intermediate pentagons on either side, and the other two pentagons top and bottom. Does this have a name?
I don’t know! A seventeen-faced polyhedron is called a heptakaidecahedron, but as for a name for the assembly you describe, I am a bit lost! I suppose it has D5 symmetry but beyond that…
I made one with five equatorial hexagons, then five intermediate pentagons on either side, and the other two pentagons top and bottom. Does this have a name?
I don’t know! A seventeen-faced polyhedron is called a heptakaidecahedron, but as for a name for the assembly you describe, I am a bit lost! I suppose it has D5 symmetry but beyond that…
In this paper https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2186234/ which looks at fullerene-type assemblies, it would be an n=30 assembly and is predicted not to exist.