Some natural systems such as this coral require approximate solutions to problems similar to the Tammes problem
In geometry, the Tammes problem is a problem in packing a given number of points on the surface of a sphere such that the minimum distance between points is maximized. It is named after the Dutch botanist Pieter Merkus Lambertus Tammes (the nephew of pioneering botanist Jantina Tammes) who posed the problem in his 1930 doctoral dissertation on the distribution of pores on pollen grains.[1] Mathematicians independent of Tammes began studying circle packing on the sphere in the early 1940s; it was not until twenty years later that the problem became associated with his name.[citation needed]
It can be viewed as a particular special case of the generalized Thomson problem of minimizing the total Coulomb force of electrons in a spherical arrangement.[2] Thus far, solutions have been proven only for small numbers of circles: 3 through 14, and 24.[3] There are conjectured solutions for many other cases, including those in higher dimensions.[4]
^Pieter Merkus Lambertus Tammes (1930): On the number and arrangements of the places of exit on the surface of pollen-grains, University of Groningen
^Batagelj, Vladimir; Plestenjak, Bor. "Optimal arrangements of n points on a sphere and in a circle" (PDF). IMFM/TCS. Archived from the original (PDF) on 25 June 2018.
^Musin, Oleg R.; Tarasov, Alexey S. (2015). "The Tammes Problem for N = 14". Experimental Mathematics. 24 (4): 460–468. doi:10.1080/10586458.2015.1022842. S2CID 39429109.
^Sloane, N. J. A. "Spherical Codes: Nice arrangements of points on a sphere in various dimensions".
Dutch botanist Pieter Merkus Lambertus Tammes (the nephew of pioneering botanist Jantina Tammes) who posed the problem in his 1930 doctoral dissertation on...
Thomson problem, concerning the minimum-energy configuration of n {\displaystyle n} charged particles on a sphere, and for the Tammesproblem of constructing...
The Thomson problem deals with the lowest energy distribution of identical electric charges on the surface of a sphere. The Tammesproblem is a generalisation...
α = ∞, the Tammesproblem (packing); α = 1, the Thomson problem; α = 0, to maximize the product of distances, latterly known as Whyte's problem; α = −1 :...
problem may be stated as the problem of finding the maximal N for a given n for which a spherical code with parameters (n,N,1/2) exists. The Tammes problem...
several definitions of even distribution (see, for example, Thomson problem or Tammesproblem). However, a useful approximation results from dividing the sphere...
and in mathematical optimization as a solution to the Thomson problem and Tammesproblem. The triaugmented triangular prism can be constructed by attaching...
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer...
the international lawyer Arnold Tammes and the botanist Pieter Merkus Lambertus Tammes, namesake of the Tammesproblem in mathematics. After graduating...
Sphere packing in a sphere is a three-dimensional packing problem with the objective of packing a given number of equal spheres inside a unit sphere....
maximization problem Ring lemma Seven circles theorem Six circles theorem Smallest circle problemTammesproblem Tarski's circle-squaring problem Thales' theorem...
respectively. Spherical codes are higher-dimensional analogues of Tammesproblem, which arose as an attempt to explain the distribution of pores on pollen...
topics described in the book include sphere packing (including the Tammesproblem, the Kepler conjecture, and higher-dimensional sphere packing), the...
shapes can be generated as the solutions to optimization problems, such as the Tammesproblem of arranging a given number of points on a sphere so as to...
that, the voice of third mate Andres Tammes took over on Estonia and the conversation shifted to Finnish. Tammes was able to provide some details about...
empowering, and Tammé is able to make peace with her son watching GLOW. In Season 3, the constant shows in Las Vegas take their toll on Tammé's back to the...
2017. Archived from the original on 2022-07-28. Retrieved 2020-01-13. "Tamme Hanken: Herztod auf Toilette in Garmisch-Partenkirchen". www.merkur.de (in...
News. Archived from the original on 25 June 2016. Retrieved 25 June 2016. Tammes, Peter (September 2017). "Investigating Differences in Brexit-vote Among...
transfer). De Vries' work on genetics inspired the research of Jantina Tammes, who worked with him for a period in 1898. In the late 1890s, de Vries became...
of whom the three main characters are Hannes, his girlfriend Veerle and Tamme, Hannes' best friend. All are obviously inspired by Tijl Uilenspiegel, Nele...
entertainers while Sheila and Tammé take up acting class. After quitting the class, Sheila discovers that Tammé has a back problem. Melrose has sex with a man...
Archived from the original on February 15, 2020. Retrieved December 10, 2021. Tamme, Eve; Beck, Larissa Lee (2021). "European Carbon Dioxide Removal Policy:...
History of Medicine, for Feminist History of Colonial Science 2005 Jantine Tammes Chair, Faculty of Mathematics and Natural Sciences, University of Groningen...
Jerusalem: The Institute for Research on Dutch Jewry 1984, 315-334 Peter Tammes, Peter Scholten (2017). "Assimilation of Ethnic-Religious Minorities in...
on Thanksgiving so that the large gate could solve the team's financial problems. Throughout the early years of the rivalry accusations on both sides concerning...
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