An Archimedes spiral displaying 100000 numbers [Une spirale d'Archimède montrant 100000 nombres entiers].




Starting from the center of the picture, the spheres are numbered (1, 2, 3,...) when following an Archimedes spiral defined as follows: 
                    rho  = srqt(N)
                    teta = 2.pi.sqrt(N)
The radius of the N-th sphere is proportional to an ascending function of the number of divisors of N. The number 0 is at the center and is not displayed. The number 1 and the prime numbers are visualized by means of white spheres (a smaller one for the number 1).


See some related pictures (including this one):

 



See the dynamics of a variable Archimedes spiral:




(CMAP28 WWW site: this page was created on 11/01/2013 and last updated on 07/15/2018 11:51:06 -CEST-)



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