| 释义 |
- See also
- Bibliography
- External links
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. See also- Spherical code
- Kissing number problem
Bibliography- Journal articles
- {{cite journal | author = Tammes PML | year = 1930 | title = On the origin of number and arrangement of the places of exit on pollen grains | journal = Diss. Groningen}}
- {{cite journal |author1=Tarnai T |author2=((Gáspár Zs)) | year = 1987 | title = Multi-symmetric close packings of equal spheres on the spherical surface | journal = Acta Crystallographica | volume = A43 | pages = 612–616 | doi = 10.1107/S0108767387098842 }}
- {{cite journal | vauthors = Erber T, Hockney GM | year = 1991 | title = Equilibrium configurations of N equal charges on a sphere | journal = Journal of Physics A: Mathematical and General | volume = 24 | url = http://www.iop.org/EJ/article/0305-4470/24/23/008/ja912308.pdf | pages = Ll369–Ll377 | doi = 10.1088/0305-4470/24/23/008 | bibcode = 1991JPhA...24L1369E }}
- {{cite journal | author = Melissen JBM | year = 1998 | title = How Different Can Colours Be? Maximum Separation of Points on a Spherical Octant | journal = Proceedings of the Royal Society A | volume = 454 | pages = 1499–1508 | doi = 10.1098/rspa.1998.0218 | issue = 1973|bibcode = 1998RSPSA.454.1499M }}
- {{cite journal | vauthors = Bruinsma RF, Gelbart WM, Reguera D, Rudnick J, Zandi R | year = 2003 | title = Viral Self-Assembly as a Thermodynamic Process | journal = Physical Review Letters | volume = 90 | pages = 248101–1–248101–4 | url = http://personnel.physics.ucla.edu/directory/faculty/fac_files/bruinsma/viral_self-assembly.pdf | doi = 10.1103/PhysRevLett.90.248101 | issue = 24 | bibcode = 2003PhRvL..90x8101B | arxiv = cond-mat/0211390 | deadurl = yes | archiveurl = https://web.archive.org/web/20070915043650/http://personnel.physics.ucla.edu/directory/faculty/fac_files/bruinsma/viral_self-assembly.pdf | archivedate = 2007-09-15 | df = }}
- Books
- {{cite book | vauthors = Aste T, Weaire DL | year = 2000 | title = The Pursuit of Perfect Packing | publisher = Taylor and Francis | isbn = 978-0-7503-0648-5 | pages = 108–110}}
- {{cite book | author = Wells D | year = 1991 | title = The Penguin Dictionary of Curious and Interesting Geometry | publisher = Penguin Books | location = New York | isbn = 0-14-011813-6 | pages = 31}}
External links- How to Stay Away from Each Other in a Spherical Universe (PDF).
- Packing and Covering of Congruent Spherical Caps on a Sphere.
- [https://www.fmf.uni-lj.si/~plestenjak/Talks/preddvor.pdf Talk on the Tammes problem] (PDF).
- Science of Spherical Arrangements (PPT).
- [https://web.archive.org/web/20080806042822/http://wwwmaths.anu.edu.au/events/sy2005/odatalks/womersley.pdf General discussion of packing points on surfaces], with focus on tori (PDF).
{{Packing problem}} 1 : Circle packing |