Putative optimal densities for regular spherical polygon packings are computed via manifold optimization, with maximality established for several instances through an SDP formulation of an extended Lovász theta number on SO(3).
Bergmann, Manopt.jl: optimization on manifolds in Julia,Journal of Open Source Soft- ware7 (2022) 3866
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Bounding the density of spherical polygon packings
Putative optimal densities for regular spherical polygon packings are computed via manifold optimization, with maximality established for several instances through an SDP formulation of an extended Lovász theta number on SO(3).