The Concept of Elevation applied to Flat Tiling Patterns

Rinus Roelofs
Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture (2015)
Pages 9–16 Regular Papers

Abstract

In their book “La Divina Proportione”, Luca Pacioli and Leonardo da Vinci described and illustrated an operation which you can apply to a polyhedron, called Elevation. In this paper I want to show how you can make models of these elevations from simple elements, material that can be used for workshops. Luca Pacioli and Leonardo da Vinci applied the elevation operation only to polyhedra, but the concept can also be applied at 2D tiling patterns, resulting in interesting single and double weaving patterns.

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