Elevations and Stellations

Rinus Roelofs
Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture (2014)
Pages 235–242 Regular Papers


Stellation is a well known operation which you can apply to a polyhedron. About a century before this operation was defined by Kepler, Luca Pacioli and Leonardo da Vinci had published the book “La Divina Proportione” in which another operation, called Elevation, was described. Both operations have much in common, but there are also many differences. Comparing both operations inspired me to define a new one, which I called Edge Elevation. This led to interesting artistic constructions.