The 16.444 first digits -base 4- of 'pi' displayed as an 'absolute' bidimensional random walk [Les 16.444 premières décimales -base 4- de 'pi' visualisées comme une marche aléatoire bidimensionnelle 'absolue'].

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).

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 12/14/2013 and last updated on 11/15/2016 14:45:52 -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 AVirtualSpaceTimeTravelMachine [Retour à AVirtualSpaceTimeTravelMachine]]
[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 (c) Jean-François Colonna, 2013-2016.
Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2013-2016.