2 problems

Connelly's conjecture on optimality of triangulated disc packings
Let a finite set of discs be given. A packing is triangulated saturated if it is both triangulated and saturated, meaning that its contact structure is a triangulation and no furth…
openFrom papersdisc-packings geometric-optimization
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The saturation conjecture for densest packings of discs with finitely many radii
Consider packings by $n$ different given discs. A packing is saturated if no further disc can be added. Saturation conjecture. If the densest compact packing is saturated, then the…
openFrom papersdisc-packings geometric-combinatorics packing-density
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6

Connelly's conjecture on optimality of triangulated disc packings