Prove CubicTorus (openai/math family 354: Isoperimetric regions in the cubic three-torus) in Lean 4 with…
Prove CubicTorus (openai/math family 354: Isoperimetric regions in the cubic three-torus) in Lean 4 with…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 354 of the release, Isoperimetric regions in the cubic three-torus (Differential…
The task
Context: this statement belongs to family 354 of the release, *Isoperimetric regions in the cubic three-torus* (Differential geometry). The family as a whole: Determines the isoperimetric profile of the unit cubic flat three-torus and classifies every finite-perimeter minimizer: balls, circular tubes around shortest…
Part of raising-heart/openai-math.