Packing
What is the smallest circle that can contain 15 unit circles?
Mathematical statement
What is the smallest circle that can contain 15 unit circles?
Reference: Graham RL, Lubachevsky BD, Nurmela KJ, Ostergard PRJ. Dense packings of congruent circles in a circle. Discrete Math 1998;181:139–154.
Statement source: Wikipedia statement material
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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
least_fifteen_circle_packing_in_circle
theorem least_fifteen_circle_packing_in_circle : IsLeast {r : ℝ | Nonempty (Packing 15 UnitCircle (Circle r))} answer(sorry) := 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