Back to Problems

exists_inscribed_rectangle_of_smooth

Specification

It is known that every *smooth* Jordan curve admits inscribed rectangles of all aspect ratios.

Actions

Submit a Proof

Have a proof attempt? Submit it for zero-trust verification.

Submit Proof
Lean 4 Statement 
theorem exists_inscribed_rectangle_of_smooth (γ : Circle → ℝ²)
    (hγ : IsEmbedding γ) (hγ' : ContMDiff (𝓡 1) (𝓡 2) ∞ γ) (r : ℝ) (hr : r > 0) :
    ∃ t₁ t₂ t₃ t₄, IsRectangle (γ t₁) (γ t₂) (γ t₃) (γ t₄) r
ID: Wikipedia__InscribedSquare__exists_inscribed_rectangle_of_smooth
Browse 300 unsolved math conjectures formalized in Lean 4
Browse

All Problems

Explore all 300 unsolved conjectures.

View problems →
ASI Prize documentation for formal verification pipeline
Docs

Verification Pipeline

How zero-trust verification works.

Read docs →
Evaluation Results

Recent Submissions

No submissions yet. Be the first to attempt this problem.