General Mathematics

    

Paper Models of Surfaces with Curvature Creative Visualization Labs Baltimore Joint Mathematics Meetings

Authors: Howard Iseri

A model of a cone can be constructed from a piece of paper by removing a wedge and taping the edges together. The paper models discussed here expand on this idea (one or more wedges are added and/or removed). These models are flat everywhere, except at the “cone points,” so the geodesics are locally straight lines in a natural sense. Non-Euclidean “effects” are easily quantifiable using basic geometry, the Gauss-Bonnet theorem is a naturally intuitive concept, and the connection between hyperbolic and elliptic geometry and curvature is clearly seen.

Comments: 6 Pages.

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[v1] 2014-03-13 03:37:02

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