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- W230592103 abstract "The densest known packing of 15 congruent circles on a sphere occurs in two equally dense varieties. Previously, this was the only known example of a conjecturally optimal packing of n circles on a sphere with multiplicity greater than one. We present three new examples: n=62, 76 and 117. We discuss these and related examples as manifestations of symmetry breaking involving structures we call “rotational toggle hexagons”. Additionally, we present a rigorous construction for n=15, and observe that both the hexagonal packing of the plane and the icosahedral packing of 12 circles on a sphere arise as limiting cases from toggle hexagons." @default.
- W230592103 created "2016-06-24" @default.
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- W230592103 date "2003-01-01" @default.
- W230592103 modified "2023-09-24" @default.
- W230592103 title "Multiplicity and Symmetry Breaking in (Conjectured) Densest Packings of Congruent Circles on a Sphere" @default.
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