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

# LinesOnCubic

Steve Trettel

Medium | Mathematica notebook. |
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The Art | The 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 Math | It'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. |

Categories | Algebraic Geometry, Math Illustration |