Elevations and Stellations

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Rinus Roelofs: Elevations and Stellations. In: Bridges 2014. Pages 235–242



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.

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Used References

[1] Peter R. Cromwell, Polyhedra, Cambridge University Press, UK, 1997.

[2] Luca Pacioli – Leonardo da Vinci, La Divina Proportione, 1509, Ed. Akal, S.A., Madrid, 1991

[3] Luca Pacioli, Divina Proportione: Die Lehre Vom Goldenen Schnitt, 1509, Ed. Carl Graeser, Wien, 1896.

[4] Red. J.W. Vermeulen, Het oneindige, M.C. Escher over eigen werk, Meulenhoff, Amsterdam, 1986.

[5] Magnus J. Wenninger, Polyhedron Models, Cambridge University Press, UK, 1971.


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