A tridimensional pseudo-random walk defined by means of the 8.188 first prime numbers starting at 11 computed modulo 7 minus 1: 352410... -8.188 digits, -base 6- into 352410... -8.188 digits, -base 6- [Une pseudo-marche aléatoire tridimensionnelle définie à l'aide des 8.188 premiers nombres premiers à partir de 11 calculés modulo 7 moins 1: 352410... -8.188 chiffres, -base 6- en 352410... -8.188 chiffres, -base 6- ]

A tridimensional pseudo-random walk defined by means of the 8.188 first prime numbers starting at 11 computed modulo 7 minus 1: 352410... -8.188 digits, -base 6- into 352410... -8.188 digits, -base 6- [Une pseudo-marche aléatoire tridimensionnelle définie à l'aide des 8.188 premiers nombres premiers à partir de 11 calculés modulo 7 moins 1: 352410... -8.188 chiffres, -base 6- en 352410... -8.188 chiffres, -base 6-].




The 8188 first Prime Numbers PN starting at 11 are computed: {11,13,17,...,84017}. Then, each PN is computed modulo 7 minus 1: N=(PN%7)-1 (it is worth noting that PN%7 cannot be equal to 0 and that 7 = 6+1 = 2x3+1).




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:
                    [+0.424,+0.536]x[+0.48,+0.624]x[-0.06,+0.04] --> [0.1,0.9]x[0.1,0.9]x[0.1,0.9]



See a related picture:

A tridimensional pseudo-random walk defined by means of the 8.188 first prime numbers starting at 11 computed modulo 7 minus 1: 352410... -8.188 digits, -base 6- into 352410... -8.188 digits, -base 6- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-


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