Tiling a Hyperbolic Pair of Pants

Year: 2025 Authors: Hanne Kekkonen

Core claim

Using Gauss-Bonnet and the hyperbolic (6,6,8) tessellation, a 45° regular octagon can be physically modeled and edge-joined into a pair of pants.

Topics

hyperbolic tiling, surface topology, pair of pants decomposition, physical model

Domains

hyperbolic geometry, topology, Gauss-Bonnet theorem, Euler characteristic, mathematical sculpture, paper craft, design education, tactile model making

Methods

Gauss-Bonnet calculation, (6,6,8) tessellation, edge identification, template assembly

Media

EVA foam, Curvagons, paper, tape

Source status

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