Cylinder covering counterexample visualizer

Family 100: Cylinder coverings below the half-area bound. First review, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Geometry researchers can inspect a finite tetrahedron cover that defeats a proposed area lower bound.

Applicability and commercial boundary

Cylinder base area is not a general physical drilling, sensor coverage or additive-manufacturing cost. A broader business mapping is unsupported.

Initial business decision

Defer direct product. Commercial demand and profitability remain hypotheses.

Next verification action

Extract the finite cylinder coordinates for a reproducible research visualization.

Evidence scope

The catalog statement was individually reviewed. Main-paper and selected formal-scope passages were additionally inspected for families 090, 093, 094, 097, 325, 328 and 332; this record does not claim a full proof audit or independent Lean verification. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.