An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi' (Une spirale d'Archimede montrant les 100.000 premieres decimales -base 10- de 'pi') {a chapter of 'Mathematics - A Virtual Instrument For Exploring Space Time And Beyond'}

An Archimedes spiral displaying the 100.000 first digits -base 10- of 'pi' [Une spirale d'Archimède montrant les 100.000 premières décimales -base 10- de 'pi'].

Starting from the center of the picture, the spheres are numbered (1, 2, 3,...) when following an Archimedes spiral defined as follows:

                    rho   = srqt(N)
                    theta = 2.pi.sqrt(N)

The luminance of the sphere colors is an ascending function of the N-th digit of 'pi' (from dark blue -0- to white -9-).

See some related artistic views:

Artistic view of the 100.000 first digits -base 10- of 'pi'

Starting from the center of the picture, the disks are numbered (0, 1, 2,...) when following an Archimedes spiral defined as follows:

                    rho   = srqt(N)
                    theta = 2.pi.sqrt(N)

The radius of the N-th disk is an increasing function of the N-th digit of 'pi' as well as the height of the peaks for the tridimensional visualizations.

The arbitrary colors are displaying the values of each digit (inside [0,9]).

See some related pictures (including this one):