A tridimensional pseudo-random walk defined by means of the Champernowne number -using all prime numbers-: 0.2 3 5 7 11 13 17 19 23 29 31... -168.982 digits, base 10- into 122525... -217.156 digits, base 6- [Une pseudo-marche aléatoire tridimensionnelle définie à l'aide du nombre de Champernowne -utilisant tous les nombres premiers-: 0.2 3 5 7 11 13 17 19 23 29 31... -168.982 chiffres, base 10- converti en 122525... -217.156 chiffres, base 6-].




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: 
                    [+0.3339,+0.6920]x[+0.4644,+1.1134]x[-0.0931,+0.3148] --> [0.1,0.9]x[0.1,0.9]x[0.1,0.9]



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 03/07/2019 and last updated on 09/05/2024 14:15:52 -CEST-)



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