Analytic sphere eversion using ruled surfaces — mentioned by panic

Sat, 04 Jul 2020 12:18:45 GMT

If you just look at the set of points at each instant in time, the self-intersections would produce discontinuities. So instead of deforming a raw set of points in 3D space, topologists deform a function which takes a point on the sphere and returns a point in 3D space: https://en.wikipedia.org/wiki/Homotopy Mechanically, you get this deformation by adding another parameter to the function between spaces. In Go-ish pseudo-code, say at each instant of time you have a function // lon ranges from -180 to 180 // lat ranges from -90 to 90 func eversion_t(lon float, lat float) (x float, y float, z…

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Analytic sphere eversion using ruled surfaces · HackerPapers discussions

Analytic sphere eversion using ruled surfaces — mentioned by panic