LinesOnCubic
Steve Trettel
| Medium | Mathematica notebook. |
|---|---|
| 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 |