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A set of 4x3 stereograms displaying the 30.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk [Un ensemble de 4x3 stéréogrammes visualisant les 30.000 premières 'décimales' -base 10- de 'pi' visualisées comme une marche aléatoire tridimensionnelle 'absolue'].




The first digits of 'pi' are giving birth to three sets 'DX', 'DY' and 'DZ' using the following way: 
                                                                           -------> DX = 3               1               2               3               9               3                ...
                                                                          |               \             / \             / \             / \             / \             / \             /
                                                                          |                \           /   \           /   \           /   \           /   \           /   \           /
                                                                          |                 \         /     \         /     \         /     \         /     \         /     \         /
                    pi = 3.14159265358979323... --> 314159265358979323... |-------> DY =     1       /       5       /       6       /       5       /       7       /       2       /
                                                                          |                   \     /         \     /         \     /         \     /         \     /         \     /
                                                                          |                    \   /           \   /           \   /           \   /           \   /           \   /
                                                                          |                     \ /             \ /             \ /             \ /             \ /             \ /
                                                                           -------> DZ =         4               9               5               8               9               3
Then 'DX', 'DY' and 'DZ' are renormalized inside [-DR,+DR] (DR being an arbitrary constant) and used as the successive steps of an "absolute" tridimensional random walk..


The arbitrary colors used are displaying the rank of each digit (from white for the first ones -{3,1,4,1,5,...}- to dark red for the last ones.)


The coordinates {X,Y,Z} are renormalized as follows: 
                    [-0.025,+0.695]x[+0.138,+0.827]x[-0.170,+0.482] -->[0.4,0.9]x[0.4,0.9]x[0.1,0.6]



See some related pictures (possibly including this one):

The 10.000 first digits -base 10- of 'pi' displayed as an 'absolute' bidimensional random walk The 10.000 first digits -base 10- of 'pi' displayed as a 'relative' bidimensional random walk  
The 5.000 first digit couples -base 10- of 'pi' displayed as an 'absolute' bidimensional random walk The 5.000 first digit couples -base 10- of 'pi' displayed as a 'relative' bidimensional random walk

The 16.444 first digits -base 4- of 'pi' displayed as an 'absolute' bidimensional random walk 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  
The 12.723 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk The 12.723 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk The 5138 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk The 12.849 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk The 127.235 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk The 128.508 first digits -base 6- of 'pi' displayed as an 'absolute' tridimensional random walk display of 'pi' with 128.508 digits -base 6- as an 'absolute' tridimensional random walk  
The 10.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk The 10.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk The 50.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk The 50.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk The 30.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk The 30.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk The 30.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk The 30.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk The 30.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk The 30.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk The 30.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk The 30.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk The 30.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk The 30.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk  
The 30.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk The 30.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk  
A set of 4x3 stereograms displaying the 30.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk A set of 4x3 stereograms displaying the 30.000 first digits -base 10- of 'pi' displayed as an 'absolute' tridimensional random walk

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- 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-, the number of each digit being the third dimension  
The 10.000 first digits -base 10- of 'pi' viewed as a huge integer number converted to base 6 and displayed as an 'absolute' tridimensional random walk -12.850 steps- The 10.000 first digits -base 10- of 'pi' viewed as a huge integer number converted to base 6 and displayed as an 'absolute' tridimensional random walk -12.723 steps- The 100.000 first digits -base 10- of 'pi' viewed as a huge integer number converted to base 6 and displayed as an 'absolute' tridimensional random walk -127.237 steps-  
The 100.000 first digits -base 10- of 'pi' viewed as a huge integer number converted to base 6 and displayed as an 'absolute' tridimensional random walk -127.237 steps- The 100.000 first digits -base 10- of 'pi' viewed as a huge integer number converted to base 6 and displayed as an 'absolute' tridimensional random walk -127.237 steps- The 100.000 first digits -base 10- of 'pi' viewed as a huge integer number converted to base 6 and displayed as an 'absolute' tridimensional random walk -127.237 steps- The 100.000 first digits -base 10- of 'pi' viewed as a huge integer number converted to base 6 and displayed as an 'absolute' tridimensional random walk -127.237 steps- The 100.000 first digits -base 10- of 'pi' viewed as a huge integer number converted to base 6 and displayed as an 'absolute' tridimensional random walk -127.237 steps-  
The 100.000 first digits -base 10- of 'pi' viewed as a huge integer number converted to base 6 and displayed as an 'absolute' tridimensional random walk -127.237 steps-


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


(CMAP28 WWW site: this page was created on 06/11/2024 and last updated on 06/11/2024 12:03:08 -CEST-)



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