The 120-cell.
You probably think dodecahedra are tight. Have you considered trying hyperdodecahedra?
Great thanks to Professor Mark Crawford, who showed me this gem. It may take a little bit to shatter your consciousness, so please be patient. :)
Dodecaplex. Polydodecahedron. Hecatonicosachoron. Dodecacontachoron. Hecatonicosahedroid.
Mathematics is beautiful. <3










