Walkable Curves and Knots
Robert W. Fathauer

Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture
Pages 13–20
Regular Papers

Abstract

Human-scale walkable structures have been designed, based on fractal curves, spirals, and knots. Traversing such structures in one’s imagination is entertaining and can provide a deeper understanding of mathematical objects. If some of these structures were built, for example in a public park, they would help people to better understand and appreciate mathematics. They could also find application in video games. Small models of several of them have been 3D printed.

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