The 2.000 first digits -base 10- of 'pi' viewed as a huge integer number converted to base 4 and displayed as an 'absolute' tridimensional random walk -3.289 steps- [Les 2.000 premières 'décimales' -base 10- de 'pi' considérées comme un grand nombre entier converti en base 4 et visualisées comme une marche aléatoire tridimensionnelle 'absolue' -3.289 pas-].




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).


See some related pictures (possibly including this one):

 
 
 
 
 



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


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