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Paper Surface Geometry : Surveying a Locally Euclidean Universe.

Authors :
Hwang, Andrew D.
Source :
American Mathematical Monthly. Jun/Jul2013, Vol. 120 Issue 6, p487-499. 13p.
Publication Year :
2013

Abstract

The article focuses on the geometry of Euclidean surfaces such as polyhedra and polyclones as in these surfaces the curvature is on arcs of the circle. It mentions the Euclidean plane, which is a mathematical idealization of an area that is not bounded. It provides instructions on making paper models of Gaussian curvature surfaces. It also explains the parallel transport and curvature with theorems and mathematical proofs to prove such surfaces.

Details

Language :
English
ISSN :
00029890
Volume :
120
Issue :
6
Database :
Academic Search Index
Journal :
American Mathematical Monthly
Publication Type :
Academic Journal
Accession number :
88069316
Full Text :
https://doi.org/10.4169/amer.math.monthly.120.06.487