The 16.444 first digits -base 4- of 'pi' displayed as an 'absolute' tridimensional random walk, the rank of each digit being the third dimension [Les 16.444 premières décimales -base 4- de 'pi' visualisées comme une marche aléatoire tridimensionnelle 'absolue', le rang de chaque chiffre étant la troisième dimension].




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). The number of each digit is used as a third dimension.


See some related pictures (possibly including this one):

 
 
 
 
 



[See the 100.000 first digits -base 10- of 'pi'.]


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