The 3.289 first digits -base 4- of 'pi' viewed as a huge integer number and displayed as an 'absolute' bidimensional random walk, the number of each digit being the third dimension [Les 3.289 premières décimales -base 4- de 'pi' considérées comme un grand nombre entier et visualisées comme une marche aléatoire bidimensionnelle 'absolue', le numéro de chaque chiffre étant la troisième dimension].

Each digit N -base 4- defines the current step of an "absolute" bidimensional random walk:
                    digit=0 ==> move(+1,0,0)
                    digit=1 ==> move(-1,0,0)
                    digit=2 ==> move(0,+1,0)
                    digit=3 ==> move(0,-1,0)

The first digit is at the center of the picture.

The luminance of the colors is an ascending function of the rank of the digits (from blue for the first ones to white for the last ones). The number of each digit is used as a third dimension.

See some related pictures (possibly including this one):


[See the 100.000 first digits -base 10- of 'pi'.]

(CMAP28 WWW site: this page was created on 12/21/2013 and last updated on 02/08/2022 20:58:06 -CET-)

[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]]

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

Copyright © Jean-François Colonna, 2013-2022.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2013-2022.