![](image.jpg)
The 50.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk [Les 50.000 premières 'décimales' -base 10- de 'pi' visualisées comme une marche aléatoire tridimensionnelle 'absolue'].
The first digits of 'pi' are giving birth to two sets 'Theta' and 'Phi' using the following way:
-------> Theta = 3 4 5 2 5 5 9 9 ...
| \ / \ / \ / \ / \ / \ / \ / \ /
pi = 3.141592653589793... --> 3141592653589793... | \ / \ / \ / \ / \ / \ / \ / \ /
| \ / \ / \ / \ / \ / \ / \ / \ /
-------> Phi = 1 1 9 6 3 8 7 3
Then 'Theta' and 'Phi' are renormalized inside [0,π] and [0,(9/10).(2.π)] respectively.
Then elementary tridimensional translations {DX,DY,DZ} are defined:
DX = DR.cos(Phi).sin(Theta)
DY = DR.sin(Phi).sin(Theta)
DZ = DR.cos(theta)
(DR being an arbitrary constant) and used as the successive steps of an "absolute" tridimensional random walk..
The coordinates {X,Y,Z} are renormalized as follows:
+[+0.218,+0.693]x[+0.292,+0.937]x[-0.431,+0.124]
See some related pictures (possibly including this one):
[See the 100.000 first digits -base 10- of 'pi'.]
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