3 problems
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The icosahedral lattice-point conjecture for Thomson's problem
Let be the unit sphere. For integers , consider the distribution of … points on obtained from the natural embedding of the icosahedron, with the points arranged in…
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The conjecture that small-world structure is generic in structure-seeking palm-tree landscapes
Small-world landscape conjecture. The small-world phenomenon might be a generic feature of landscapes with the structure-seeking palm tree' organisation.
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The scar-pattern conjecture for extending the Caspar–Klug virus capsid construction
The Thomson problem concerns electrons arranged on a sphere so as to minimize their repulsive Coulomb potential; its predicted and numerically observed patterns, called scars, also…