Distel - smooth algebraic surface
Description
Distel, A Smooth Algebraic Surface Of Degree Six. This Is The Set Of Real Points For Which ``` X^2+Y^2+Z^2+1000 * (X^2+Y^2)*(X^2+Z^2)*(Y^2+Z^2)-1 = 0. ``` Has No Holes! Has No Singularities! Is Actually Smooth At Its Points! Not Actually Pointed! Topologically Equivalent To A Sphere! I Have Provided These Files: * `Distel_Super_Smooth.Stl` -- Sampled To Decently Tight Tolerances. * `Distel_Newsmooth.Stl` -- Surprisingly, An Older Version Of The Sampler Was Used To Refine It. Take The Name With A Grain Of Salt. Enjoy * `Input` -- The Bertini_Real Input File Used To Compute It. One Of The First Surfaces I Computed With Bertini_Real, In Early 2014. This Surface Was Sampled Before I Implemented Cyclenumber > 1 Sampling, So The Surface Is Undersampled Near Critical Points And Singularities. Computed With A Numerical Algebraic Geometry Program I Wrote, Called [Bertini_Real](Https://Bertinireal.Com) And Printed As Part Of My Long-Term Project To Reproduce [Herwig Hauser'S Gallery Of Algebraic Surface Ray-Traces](Http://Homepage.Univie.Ac.At/Herwig.Hauser/Gallery.Html) In [My Own Gallery Of 3D Prints](Https://Danibrake.Org/Gallery). The Acm Toms Algorithm Number Is 976; The Major Published Paper Is [Doi 10.1145/3056528](Https://Doi.Org/10.1145/3056528) With Several Others Preceding. Bertini_Real Implements The Implicit Function Theorem For Algebraic Surfaces And Curves In Any (Reasonable) Number Of Variables. These Surfaces Are Generally Challenging To Print. Rotate, And Use Careful Support. I Use Simplify3D For The Manual Support Placement Feature. These Surfaces Are Also Very Tiny In Scale (Arbitrary Units And Math And All) So Require Significant Upsizing. See Also, [My Thingiverse Collection Of Algebraic Surfaces](Https://Www.Thingiverse.Com/Ofloveandhate/Collections/Algebraic-Surfaces).
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