Gallery of Pseudospheres
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http://www.massey.ac.nz/~rmclachl//pseudosphere/gallery.html  


Robert McLachlan  
A short version of an article by Robert McLachlan, "A gallery of constantnegativecurvature surfaces," (Mathematical Intelligencer, Fall 1994, 3137) about "pseudospherical" surfaces, equally "saddleshaped" at each point, extensively studied in the nineteenth century and now having a minor revival because of connections with integrable systems. The product of their two curvatures at each point is 1 everywhere, so in a sense they are the opposite (or hyperbolic counterpart) of an ordinary sphere. They can be covered by coordinates known as "Tchebyshev nets."  


Levels:  College, Research 
Languages:  English 
Resource Types:  Graphics, Articles 
Math Topics:  Hyperbolic Geometry 
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