The Elevation of Coxeter's Infinite Regular Polyhedron 444444

Rinus Roelofs
Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (2016)
Pages 33–40 Regular Papers


In their book “La Divina Proportione” [1],[2], Luca Pacioli and Leonardo da Vinci described and illustrated an operation which you can apply to a polyhedron, called Elevation. Starting from Pacioli’s basic idea, resulting in a second layer around a polyhedral shape, we can develop this idea further towards entwined double layer structures. Some of them are single objects, others appear to be compounds.