Polygon Spirals

Nick Mendler
Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (2016)
Pages 507–510


Logarithmic spirals may be classically constructed with a chain of similar triangles that share the same center of similitude. We extend this construction to chains of n-gons with centers on a logarithmic spiral with turning angle π/n, and scale factors with interesting properties. Finally, polygon spirals of this kind are used to produce a variety of artistic images.