Tridimensional display of an Archimedes spiral displaying 'pi' with 200 digits -base 10- (Visualisation tridimensionnelle d'une spirale d'Archimede montrant 'pi' avec 200 chiffres -base 10-) {a chapter of 'Mathematics - A Virtual Instrument For Exploring Space Time And Beyond'}

Tridimensional display of an Archimedes spiral displaying 'pi' with 200 digits -base 10- [Visualisation tridimensionnelle d'une spirale d'Archimède montrant 'pi' avec 200 chiffres -base 10-].

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 rank of each digit (inside [1,200]).

See some related pictures (including this one):