Geometry: From Disorder to Order

Ton Marar ()
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Ton Marar: University of São Paulo at São Carlos

Chapter Chapter 3 in A Ludic Journey into Geometric Topology, 2022, pp 27-46 from Springer

Abstract: Abstract The axiomatic Euclidean geometry was unique for 2000 years. Then, in the nineteenth century a certain modernity was established with the flourishing of non-Euclidean geometries. In 1872, Felix Klein presented a way to define geometries without axioms, organizing the space in congruence classes, allowing a multitude of geometries defined in a given space. Klein’s program inaugurated a kind of postmodernity in geometry.

Date: 2022
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DOI: 10.1007/978-3-031-07442-4_3

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