The generalized Ulam spiral displaying 100 numbers [La spirale d'Ulam généralisée montrant 100 nombres entiers].




Starting from the center of the picture, the spheres are numbered (1, 2, 3,...) when following a square spiral. The radius of the N-th sphere is proportional to the square root of the number of divisors of N. The number 1 and the prime numbers are visualized by means of white spheres (a smaller one for the number 1). Other numbers are visualized by means of colored spheres (the luminance varies according to the number of divisors).


(this picture was created on 12/10/2001)
(this page -belonging to the CMAP28 site- was last updated on 01/22/2010 13:15:57 -CET-)


[Please visit the related NumberTheory picture gallery [Visitez la galerie d'images NumberTheory associee]]
[Go back to AVirtualSpaceTimeTravelMachine [Retour a AVirtualSpaceTimeTravelMachine]]
[The Y2K bug [Le bug de l'an 2000]]

[Site Map, Help and Search [Plan du Sîte, Aide et Recherche]]
[Mail [Courrier]]
[About Pictures and Animations [A Propos des Images et des Animations]]


Copyright (c) Jean-François Colonna, 2001-2010.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) / Ecole Polytechnique, 2001-2010.