2021/05/31 by Hanne Kekkonen, Kekkonen, Hanne
Arts and Humanities · Engineering · Mathematics · #97B50 #97G80 #97M80 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Architecture and Computational Design #Art, Technology, and Culture #FOS: Mathematics #History and Overview (math.HO) #History and Theory of Mathematics #Mathematics and Applications #Metric Geometry (math.MG)
paper · pdf · doi:10.48550/arxiv.2105.14947
openalex publication_date 2021/05/31 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
How can we convince students, who have mainly learned to follow given\nmathematical rules, that mathematics can also be fascinating, creative, and\nbeautiful? In this paper I discuss different ways of introducing non-Euclidean\ngeometry to students and the general public using different physical models,\nincluding chalksphere, crocheted hyperbolic surfaces, curved folding, and\npolygon tilings. Spherical geometry offers a simple yet surprising introduction\nto the topic, whereas hyperbolic geometry is an entirely new and exciting\nconcept to most. Non-Euclidean geometry demonstrates how crafts and art can be\nused to make complex mathematical concepts more accessible, and how mathematics\nitself can be beautiful, not just useful.\n