Direct ruling enumeration

Ruling Atlas

Choose a collection of Newton polygons.

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Polygons with one interior lattice point 16 lattice-equivalence classes · genera 0 and 1 · 112 rulings Polygons with two interior lattice points 45 lattice-equivalence classes · genera 0, 1, and 2 · 1,489 rulings Polygons with more interior points 2 polygons · 41 saved figures · symmetry multiplicities shown

Ruling Atlas The rulings of a general convex lattice polygon can be computed with the accompanying code.