click to view the MPEG movie (cliquez pour voir le film MPEG)

A set of 4x3 stereograms displaying a tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps [Un ensemble de 4x3 stéréogrammes visualisant une pseudo-marche aléatoire tridimensionnelle définie à l'aide de 'pi': 3.141592... -90.000 chiffres, -base 10- avec 30.000 pas de temps].




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):

A bidimensional pseudo-random walk defined by means of 'pi': 141592... -10.000 decimals, -base 10- with 10.000 time steps A bidimensional pseudo-random walk defined by means of 'pi': 141592... -10.000 decimals, -base 10- with 10.000 time steps  
A bidimensional pseudo-random walk defined by means of 'pi': 141592... -5.000 decimals, -base 10- with 2.500 time steps A bidimensional pseudo-random walk defined by means of 'pi': 141592... -5.000 decimals, -base 10- with 2.500 time steps

A bidimensional pseudo-random walk defined by means of 'pi': 3.141592... -10.000 digits, -base 10- into 021003... -16.607 digits, -base 4- A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -10.000 digits, -base 10- into 021003... -16.607 digits, -base 4-  
A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -10.000 digits, -base 10- into 050330... -12.849 digits, -base 6- A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -10.000 digits, -base 10- into 050330... -12.849 digits, -base 6- A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -4.000 digits, -base 10- into 050330... -5.138 digits, -base 6- A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -10.000 digits, -base 10- into 050330... -12.849 digits, -base 6- A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -100.000 digits, -base 10- into 050330... -128.508 digits, -base 6- A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -100.000 digits, -base 10- into 050330... -128.508 digits, -base 6- A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -100.000 digits, -base 10- into 305033... -128.509 digits, -base 6-  
A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -20.000 digits, -base 10- with 10.000 time steps A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -20.000 digits, -base 10- with 10.000 time steps A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -100.000 digits, -base 10- with 50.000 time steps A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -100.000 digits, -base 10- with 50.000 time steps A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps  
A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps A tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps  
A set of 4x3 stereograms displaying a tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps A set of 4x3 stereograms displaying a tridimensional pseudo-random walk defined by means of 'pi': 3.141592... -90.000 digits, -base 10- with 30.000 time steps

A tridimensional pseudo-random walk defined by means of 'pi': 141592... -2.001 digits, -base 10- into 200303... -3.321 digits, -base 4- A tridimensional pseudo-random walk defined by means of 'pi': 141592... -2.001 digits, -base 10- into 200303... -3.321 digits, -base 4-  
A tridimensional pseudo-random walk defined by means of 'pi': 141592... -10.001 digits, -base 10- into 450315... -12.850 digits, base 6- A tridimensional pseudo-random walk defined by means of 'pi': 141592... -10.001 digits, -base 10- into 450315... -12.850 digits, base 6- A tridimensional pseudo-random walk defined by means of 'pi': 141592... -100.001 digits, -base 10- into 303142... -128.509 digits, -base 6-  
A tridimensional pseudo-random walk defined by means of 'pi': 141592... -100.001 digits, -base 10- into 303142... -128.509 digits, -base 6- A tridimensional pseudo-random walk defined by means of 'pi': 141592... -100.001 digits, -base 10- into 303142... -128.509 digits, -base 6- A tridimensional pseudo-random walk defined by means of 'pi': 141592... -100.001 digits, -base 10- into 303142... -128.509 digits, -base 6- A tridimensional pseudo-random walk defined by means of 'pi': 141592... -100.001 digits, -base 10- into 303142... -128.509 digits, -base 6- A tridimensional pseudo-random walk defined by means of 'pi': 141592... -100.001 digits, -base 10- into 303142... -128.509 digits, -base 6-  
A tridimensional pseudo-random walk defined by means of 'pi': 141592... -100.001 digits, -base 10- into 303142... -128.509 digits, -base 6-


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


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