Tammes problem

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Some natural systems such as this coral require approximate solutions to problems similar to the Tammes problem

In geometry, Tammes problem is a problem in packing a given number of circles on the surface of a sphere such that the minimum distance between circles is maximized. It is named after a Dutch botanist who posed the problem in 1930 while studying the distribution of pores on pollen grains. It can be viewed as a specialization of the generalized Thomson problem.

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Journal articles
  • Tammes PML (1930). "On the origin of number and arrangement of the places of exit on pollen grains". Diss. Groningen. 
  • Tarnai T, Gáspár Zs (1987). "Multi-symmetric close packings of equal spheres on the spherical surface". Acta Crystallographica A43: 612–616. doi:10.1107/S0108767387098842. 
  • Aste T, Weaire DL (2000). The Pursuit of Perfect Packing. Taylor and Francis. pp. 108–110. ISBN 978-0-7503-0648-5. 
  • Wells D (1991). The Penguin Dictionary of Curious and Interesting Geometry. New York: Penguin Books. p. 31. ISBN 0-14-011813-6. 

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