SSemigroupExplorer in ℤ²
Live calculation

Affine semigroup visualization

Visualize a semigroup in ℤ².

Enter a finite set of vectors. Each blue point represents a nonnegative integer linear combination of the chosen generators.

Generated semigroup

Γ = ⟨(2, 0), (1, 1), (0, 2)⟩

113visible points
-2-101234567891011121314-2-101234567891011121314xy
Element of ΓGeneratorOrigin included

Hover over a point to read its coordinates.