The 36.493 first digits of the Champernowne number (=0.1 2 3 4 5 6 7 8 9 10 11 12...) displayed as an 'absolute' bidimensional random walk [Les 36.493 premières décimales du nombre de Champernowne (=0.1 2 3 4 5 6 7 8 9 10 11 12...) visualisées comme une marche aléatoire bidimensionnelle 'absolue'].




Each digit N -base 10- defines the current step of an "absolute" bidimensional random walk using polar coordinates: 
                    RHO  = constant
                    TETA = 2.pi.N/10
'TETA' being an absolute angle.


See some related pictures (possibly including this one):

 
 



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