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).
Dumitrescu,Positive trigonometric polynomials and signal processing applications, Signals and Communication Technology, Springer, Cham
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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).