The 130.643 first digits of a 'Champernowne number' like (=0.1 2 3 4 5 10 11 12 13 14 15 20 21...) -using all base 6 integer numbers- displayed as an 'absolute' tridimensional random walk [Les 130.643 premières 'décimales' d'un nombre du type 'nombre de Champernowne' (=0.1 2 3 4 5 10 11 12 13 14 15 20 21...) -utilisant tous les nombres entiers en base 6- visualisées comme une marche aléatoire tridimensionnelle 'absolue'].




Each digit N -base 6- defines the current step of an "absolute" tridimensional 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)
                    digit=4 ==> move(0,0,+1)
                    digit=5 ==> move(0,0,-1)


The coordinates {X,Y,Z} are renormalized as follows: 
                    [-0.2091,+0.5]x[+0.5,+1.0909]x[+0,+0.1013] --> [0.1,0.9]x[0.1,0.9]x[0.10,0.11]



See some famous real numbers (possibly including this one):




See a random number:



See a tridimensional brownian motion:




(CMAP28 WWW site: this page was created on 10/25/2016 and last updated on 01/08/2022 15:15:14 -CET-)



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