- Dave's Geometric Pix Gallery - David Joyce; Dept. of Mathematics & Computer Science, Clark University
Mandelbrot and Julia sets, with a generation form and an Explorer on which you can point and click to get more refined images;
Newton Basins and a form to generate them; a page describing tiling the hyperbolic plane; some wallpaper groups; a gallery of roulettes; kaleidoscopes, Bowditch patterns, and other miscellaneous pictures.
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- Gallery of Pseudospheres - Robert McLachlan
A short version of an article by Robert McLachlan, "A gallery of constant-negative-curvature surfaces," (*Mathematical Intelligencer, * Fall 1994, 31-37) about "pseudospherical" surfaces, equally "saddle-shaped" 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." | |