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Pseudosphere: Tractroid, Relation to solutions to the sine-Gordon equation & Universal covering space
In geometry, a pseudosphere is a surface in R 3 {\displaystyle \mathbb {R} ^{3}} . It is the most famous example of a pseudospherical surface. A pseudospherical surface is a surface piecewise smoothly immersed in R 3 {\displaystyle \mathbb {R} ^{3}} with constant negative Gaussian curvature. A "pseudospherical surface of radius R" is a surface in R 3…
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