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Gaussian Curvature, Mirrors, and Maps

Pedro Roitman
The American Mathematical Monthly
Vol. 119, No. 6 (June‒July 2012), pp. 506-509
DOI: 10.4169/amer.math.monthly.119.06.506
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Page Count: 4
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Gaussian Curvature, Mirrors, and Maps
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Abstract We present a method to optically measure the Gaussian curvature K of a surface and show how it can be used to establish a link between surfaces with constant K and area preserving maps between a sphere and a planar region. As an example, we show how Lambert’s azimuthal equal area projection is naturally related to a sphere.

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