Do the Angles of a Triangle Add up to $180^{\circ}$ ? – Introducing Non-Euclidean Geometry

Do the Angles of a Triangle Add up to $180^{\circ }$ ? – Introducing Non-Euclidean Geometry

Year: 2021 Authors: Hanne Kekkonen

Core claim

Non-Euclidean geometry can be taught effectively through tangible crafts and art, which reveal surprising properties of curvature beyond Euclidean rules.

Topics

non-Euclidean geometry, curvature, physical models, mathematics outreach

Domains

spherical geometry, hyperbolic geometry, curvature, polygon tilings, crochet, curved folding, paper sculpture, craft-based visualization

Methods

chalksphere model, crocheted hyperbolic surfaces, curved folding, polygon tilings

Media

chalk, crochet yarn, paper, globe

Source status

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