All open problems
Source labels openChecked July 26, 2026
Conjectures about the Mandelbrot and Multibrot sets
The boundary of the Mandelbrot set is conjectured to have zero area.
Mathematical statement
The boundary of the Mandelbrot set is conjectured to have zero area.
Statement source: Wikipedia statement material
Statement terms: CC-BY-SA-4.0
Attributed source material. Reuse must follow the linked attribution and share-alike terms.
Statement artifacts, not proofs
These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.
Pinned Lean formulation 1
volume_frontier_mandelbrotSet_eq_zero
Complete statement target, proof intentionally absentLean 4
theorem volume_frontier_mandelbrotSet_eq_zero : volume (frontier mandelbrotSet) = 0 := by sorry- Statement source
- Formal Conjectures
- Lean version
- v4.27.0
- Placeholder
- Present; no proof artifact
- Source evidence
- Pinned source index
- Fidelity review
- Community formulation
References