https://arxiv.org/pdf/1702.04862.pdf

LinesOnCubic

Steve Trettel

MediumMathematica notebook.
The ArtThe real points of a cubic surface and the lines it contains, depicted in a changing choice of affine patch for real projective 3-space.
The MathIt's a theorem of algebraic geometry that every (complex, projective) cubic surface contains exactly 27 lines. In certain circumstances, all these lines have real points; and the pattern of their intersections captures some information about the geometry of the surface.
CategoriesAlgebraic Geometry, Math Illustration