Submitted Picture Gallery (42 different pictures):

Images des Mathématiques (IdM/CNRS)

[Galerie d'images soumises (42 images différentes) : Images des Mathématiques (IdM/CNRS)]

Jean-François Colonna
[Contact me]

www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France

[Site Map and Help [Plan du Site et Aide]]
[The Y2K Bug [Le bug de l'an 2000]]
[Are we ready for the Year 2038 [Notre informatique est-elle prête pour l'An 2038]?]
[Real Numbers don't exist in Computers and Floating Point Computations aren't safe. [Les Nombres Réels n'existent pas dans les Ordinateurs et les Calculs Flottants ne sont pas sûrs.]]
[Please, visit A Virtual Machine for Exploring Space-Time and Beyond, the place where you can find more than 10.000 pictures and animations between Art and Science]

[The visual version of this page [La version visuelle de cette page]]
(CMAP28 WWW site: this page was created on 06/12/2026 and last updated on 07/22/2026 11:35:26 -CEST-)

Mathematics [Mathématiques]	Deterministic Fractal Geometry [Géométrie Fractale Déterministe]	Non Deterministic Fractal Geometry [Géométrie Fractale Non Déterministe]	Tilings [Pavages]	A Tribute to Patrice Jeener [Hommage à Patrice Jeener]
Celestial Mechanics [Mécanique Céleste]	Quantum Mechanics [Mécanique Quantique]	Miscellaneous [Divers]

Mathematics [Mathématiques]:

Visualization of the Proth-Gilbreath Conjecture process for G(Pi(6.0213x10^27))=1935..	Tridimensional Visualization of the Proth-Gilbreath Conjecture process for G(Pi(1.0025x10^15))=806..	An elementary monodimensional binary cellular automaton -110- with 1 white starting point -bottom right-.	A tridimensional pseudo-random walk -cartesian coordinates- defined by means of the 99.999 first decimals of the square root of 2 (414213...) -base 10- with 33.333 time steps.	A tridimensional pseudo-random walk -cartesian coordinates- defined by means of the 99.999 first decimals of 'phi' -the golden ratio- (618033...) -base 10- with 33.333 time steps.
A tridimensional pseudo-random walk -cartesian coordinates- defined by means of the 99.999 first decimals of 'e' (718281...) -base 10- with 33.333 time steps.	A tridimensional pseudo-random walk -cartesian coordinates- defined by means of the 99.999 first decimals of 'pi' (141592...) -base 10- with 33.333 time steps.	A tridimensional pseudo-random walk -cartesian coordinates- defined by means of the 99.999 first decimals of 'pi' (141592...) with 492 more digits defining a helix -base 10- with 33.497 time steps.	A tridimensional pseudo-random walk -spherical coordinates- defined by means of the 999 first decimals of the Champernowne number (1 2 3 4 5 6 7 8 9 10 11 12...) -base 10- with 333 time steps.	A tridimensional pseudo-random walk -cartesian coordinates- defined by means of the 99.999 first decimals of an arbitrary random number (190496...) -base 10- with 33.333 time steps.

Deterministic Fractal Geometry [Géométrie Fractale Déterministe]:

Tridimensional fractal cross -iteration 5-.	An amazing cross-section inside the Menger Sponge -iteration 5-.	Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.	Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.	Close-up on a foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.
A pseudo-octonionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.	A foggy pseudo-octonionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section-.	A pseudo-octonionic Mandelbrot set (a 'MandelBulb') -'children's corner' or 'the consciousness emerging from Mathematics'- -tridimensional cross-section-.	Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') -tridimensional cross-section-.	A pseudo-octonionic Mandelbrot set -tridimensional cross-section-.
A pseudo-octonionic Mandelbrot set -tridimensional cross-section-.	The quaternionic Julia set -degree=2- computed with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-.	The quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-.	The quaternionic Julia set -degree=2- computed -pseudo-addition and pseudo-multiplication in C- with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-.	A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) and with a rotation about the X axis -tridimensional cross-section-.
A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) and with a rotation about the X axis -tridimensional cross-section-.	Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-.	Close-up on a foggy pseudo-quaternionic Mandelbrot set with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-.

Non Deterministic Fractal Geometry [Géométrie Fractale Non Déterministe]:

Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity.	Tridimensional display of the particle trajectories of bidimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity.	Bidimensional closed self-avoiding brownian motion on an ellipsoide.	Bidimensional closed self-avoiding brownian motion on a torus.	Bidimensional closed self-avoiding brownian motion on the Möbius strip.
Bidimensional closed self-avoiding brownian motion on the Klein bottle.	Bidimensional closed self-avoiding brownian motion on the Boy surface.	Tridimensional fractal surface (bird's-eye view).	Mountains and fog.	Monument Valley at sunrise.
Snowy Monument Valley.

A Tribute to Patrice Jeener [Hommage à Patrice Jeener]:

Tilings [Pavages]:

The level 2 cluster made of 8 'Spectre' level 1 clusters with display of all the key-points making quadrilaterals (8 small and a big one).

Celestial Mechanics [Mécanique Céleste]:

Quantum Mechanics [Mécanique Quantique]:

Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-.

Miscellaneous [Divers]:

display of 'pi' with 100 digits {3.141592...} on an helix -grey-.

Copyright © Jean-François Colonna, 2026-2026.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2026-2026.