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 (N=1, 2, 3,..., 1024) 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).

See some related pictures (including this one):


See a tridimensional display:

[Plus d'informations à propos de la spirale d'Ulam et de ses généralisations -en français/in french-]
[More information about the Ulam spiral and ist generalizations -in english/en anglais-]

(CMAP28 WWW site: this page was created on 12/10/2001 and last updated on 08/22/2020 11:13:36 -CEST-)

[See all related pictures (including this one) [Voir toutes les images associées (incluant celle-ci)]]

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

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