A tridimensional pseudo-random walk defined by means of the Champernowne number -using all base 6 integer numbers-: 0.1 2 3 4 5 10 11 12 13 14 15 20... -130.644 digits, base 6- converted into 130.643 digits 123451... -base 6- [Une pseudo-marche aléatoire tridimensionnelle définie à l'aide du nombre de Champernowne -utilisant tous les nombres entiers en base 6-: 0.1 2 3 4 5 10 11 12 13 14 15 20... -130.644 chiffres, base 6- converti en 123451... -130.643 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: 
                    [-0.2091,+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 09/05/2024 14:15:50 -CEST-)



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