Miscellaneous Exhibitions




Close-up on a foggy 'MandelBox' -tridimensional cross-section-

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]
(CMAP28 WWW site: this page was created on 03/06/2024 and last updated on 05/15/2026 19:18:55 -CEST-)



[en français/in french]







  • See the following pictures in the new Images exhibition at La Cite des Sciences et de l'Industrie in Paris (inaugurated on 06/28/2001):

    Quark and gluon structure of a nucleon Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)
    The Lorenz attractor A quaternionic Julia set -tridimensional cross-section-
    The normal field of a shell (Jeener surface 1) A Lissajous surface in motion
    Mountains and clouds at sunset The surface of the Moon
    Synthesis of tridimensional textures Untitled 0011 Artistic view of the trajectories of bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity




  • See the following pictures in the Le Paris du Futur exhibition at La Galerie de l'ADAC in Paris (inaugurated on 03/21/2002):

    Artistic view of the bidimensional Ising Model with 2-state spins, temperature=0.2 and regular initial conditions (a chessboard)
    The trajectories of bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity Tridimensional artistic view of the trajectories of tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity Flames
    A quaternionic Julia set -tridimensional cross-section-




  • See the following pictures in the exhibition at Le Centre Culturel René Cassin in Dourdan (inaugurated on 06/01/2002):

    Light clouds at sunset Synthesis of bidimensional texture by means of Fourier filtering Artistic view of the prime numbers The normal field of a shell (Jeener surface 1) Tridimensional visualization of a bidimensional turbulent flow Synthesis of tridimensional textures by means of a fractal process Hypercube Tridimensional display of 36 eigenstates of the Hydrogen atom (bidimensional computation) Black dots (inside random white squares)on a square lattice Zollner optical illusion The bidimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions The Birth of the Universe Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections- A quaternionic Julia set -tridimensional cross-section- The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section- The Lorenz attractor The Lorenz attractor -sensitivity to initial conditions (displayed as the central point of each frame)- Tridimensional visualization of the Verhulst dynamics Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents- Tridimensional visualization of the Mandelbrot set The Möbius strip From Pluto to the Sun (non linear scales) Two identical grey rectangles in front of a grey scale Mountains at sunrise Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer- Mystery mountain at sunrise Synthesis of tridimensional texture by means of a random process and Fourier filtering Archimedian mountains (bird's-eye view) 6 evenly distributed points on a sphere -an Octahedron- by means of simulated annealing Alien Synthesis of bidimensional geometrical textures Artistic view of the trajectories of bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity A Lissajous surface in motion The random walk of photons escaping the Sun Artistic view of Ph(Zeta)




  • Exhibition -with Denis Fadier- at UNESCO in Paris -11/2002- Exhibition -with Denis Fadier- at UNESCO in Paris -11/2002- See the following pictures in the exhibition -with Denis Fadier- at UNESCO on the occasion of the celebration of World Science Day for Peace and Development in Paris (inaugurated on 11/12/2002) :

    Synthesis of bidimensional texture by means of Fourier filtering Artistic view of the prime numbers The normal field of a shell (Jeener surface 1) Synthesis of tridimensional textures by means of a fractal process The Birth of the Universe Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections- The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section- The Lorenz attractor Tridimensional visualization of the Verhulst dynamics Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents- From Pluto to the Sun (non linear scales) Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer- Mystery mountain at sunrise Alien A Lissajous surface in motion




  • See the following pictures in the exhibition at ENST Bretagne in Brest (inaugurated on 04/02/2003):

    Along the border of the Mandelbrot set Bidimensional zoom in on the Mandelbrot set with display of the arguments The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section- Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections- A quaternionic Julia set -tridimensional cross-section- 2.pi rotation about Y and Z axes of a quaternionic Julia set -tridimensional cross-sections- Autostereogram of a quaternionic Julia set -tridimensional cross-section- Tridimensional display of the Z=Zeta(Z)iteration inside [-20.0,+20.0]x[-20.0,+20.0] (bird's-eye view)

    Bidimensional clouds or height field Zoom in on self-similar mountains (with 3D clipping, bird's-eye view) Fractal synthesis of mountains with vegetation and stormy clouds Mountains and light cloud dynamics -this sequence being periodical- Mountains at sunrise Earthquake with multifractal mountains Monument Valley at sunrise The foggy Babel Tower -a Tribute to Brueghel the Elder- Botticelli anomaly on the Moon Tridimensional fractal structure Cauliflowers, seaweeds, shells,... with fog Tridimensional fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity




  • See the following pictures in the exhibition at the Library of the Ecole Polytechnique in Palaiseau (inaugurated on 06/10/2004):

    The Jeener-Klein triple bottle Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms The Klein bottle in motion Artistic view of the Bonan-Jeener-Klein triple bottle Artistic view of the Bonan-Jeener-Klein triple bottle Interpolation between the Jeener-Klein quintuple bottle and the Bonan-Jeener-Klein triple bottle Artistic view of the interpolation between the Jeener-Klein quintuple bottle and the Bonan-Jeener-Klein triple bottle A shell (Jeener surface 1)in motion The normal field of a shell (Jeener surface 1) An arbitrary surface (Jeener surface 2) Artistic view of a the Jeener-Möbius tridimensional manifold Rotation about the Y (vertical)axis of a Jeener-Möbius tridimensional manifold that can also be viewed as a set of 4x3 stereograms




  • 2004: the eightyth birthday of Benoît Mandelbrot:

    Tridimensional brownian motion -the colors used (magenta,red,yellow,green,cyan)are an increasing function of the time- and the 'external border' of its bidimensional projection -white- The trajectories of bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity Untitled 0020 Along the border of the Mandelbrot set Tridimensional zoom in on the Mandelbrot set Convolution of a detail of the Mandelbrot set The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section- A quaternionic Julia set -tridimensional cross-section- Quaternionic Julia island Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections- The Birth of the Universe The Lorenz attractor Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents- Mountains at sunrise Mystery mountain at sunrise The foggy Babel Tower -a Tribute to Brueghel the Elder- Archipelago Foggy 'anti-Brittany' Monument Valley at sunrise Artistic view of Monument Valley Inside the Gate Botticelli anomaly on the Moon Synthesis of tridimensional textures by means of a fractal process Tridimensional fractal structure Alien




  • A private collection in Paris:

    Tridimensional representation of a quadridimensional Calabi-Yau manifold Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms A quaternionic Julia set -tridimensional cross-section- A quaternionic Julia set -tridimensional cross-section- Tridimensional heterogeneous fractal structure in a tridimensional torus The normal field of a shell (Jeener surface 1) Untitled 0031




  • See the following pictures in the exhibition at the Institut Henri Poincare in Paris (inaugurated on 01/22/2005):

    Artistic view of the Bonan-Jeener-Klein triple bottle Artistic view of the interpolation between the Jeener-Klein quintuple bottle and the Bonan-Jeener-Klein triple bottle Mystery mountain at sunrise Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer- The trajectories of bidimensional fractal aggregates obtained by means of a 50% pasting process during collisions of particles submitted to a vertical field of gravity Synthesis of bidimensional geometrical textures The random walk of photons escaping the Sun




  • Auguste Detœuf Room at the Ecole Polytechnique -09/15/2005- See the following pictures in the Auguste Detœuf Room at the Ecole Polytechnique (inaugurated on 09/15/2005):

    The Lorenz attractor A quaternionic Julia set -tridimensional cross-section- Untitled 0020 Fractal synthesis of mountains with vegetation and stormy clouds The foggy Babel Tower -a Tribute to Brueghel the Elder- Alien Synthesis of bidimensional textures The Scream -a Tribute to Edvard Munch- Synthesis of bidimensional textures by means of a fractal process Synthesis of tridimensional symmetrical geometrical textures The Solar System with a dark blue virtual planet -virtual planet point of view- The random walk of photons escaping the Sun




  • See my pictures on the Bruxelles City Hall during the "Math En Rue" festival on 10/16/2009:

    My pictures on the Bruxelles City Hall -10/16/2009- My pictures on the Bruxelles City Hall -10/16/2009- My pictures on the Bruxelles City Hall -10/16/2009- My pictures on the Bruxelles City Hall -10/16/2009-




  • See the following pictures in the exhibition at the Atelier Z (Fondation Peugeot) in Paris (inaugurated on 10/22/2009):

    Tridimensional representation of a quadridimensional Calabi-Yau manifold Tridimensional integration of the anisotropic gaussian Fourier filtering of a random field with a 2.pi rotation of the kernel The Solar System with a green virtual planet -virtual planet point of view- An interpolation between two sets of interlaced torus -four and sixteen respectively- defined by means of three sets of bidimensional fields Recursive intertwining An intertwining animation Tridimensional fractal structure Chessboard Untitled 0116 Untitled 0122 Untitled 0120




  • See my pictures (as well as the Patrice Jeener's ones) in an exhibition at the Ecole Polytechnique on september 2010:

    Exhibition at the Ecole Polytechnique -09/2010- Exhibition at the Ecole Polytechnique -09/2010- Exhibition at the Ecole Polytechnique -09/2010-




  • See my pictures during the tribute to Benoît Mandelbrot (03/17-18/2011):

    Exhibition at the Ecole Polytechnique during the Tribute to Benoît Mandelbrot -03/17-18/2011- Exhibition at the Ecole Polytechnique during the Tribute to Benoît Mandelbrot -03/17-18/2011-

    A fractal fresco in the main hall of the Ecole Polytechnique -03/2011-




  • See my pictures in the exhibition at the Library of the Ecole Polytechnique in Palaiseau on september 2013 (inaugurated on 08/26/2013):

    [More information]

    Mathematics and Physics:

    7-foil torus knot on its torus The u=v line on the Bonan-Jeener-Klein triple bottle and a strip Tridimensional Hilbert Curve -iteration 4- An aperiodic Penrose tiling of the Golden Decagon Untitled 0154 Artistic view (bird's-eye view)of an hexagonal tiling of the hyperbolic Poincaré disk -iteration 4- The Lorenz attractor From Pluto to the Sun -extrapolation 2-


    Mathematics and Nature:

    The quaternionic Julia set computed with A=(0,1,0,0)-tridimensional cross-section- The quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the quaternionic space -tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Close-up on a foggy 'MandelBox' -tridimensional cross-section- Tridimensional fractal structure Botticelli anomaly on the Moon Sunny Monument Valley


    Mathematics and Encounters:

    Isle of the Dead -a Tribute to Arnold Böcklin- Untitled 0155 -a Tribute to Yves Tanguy- Triple impossible staircase Monument Valley à la David Hockney Tridimensional visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-


    Mathematics and Creation:

    Intertwining Untitled 0150 Untitled 0180 Quaternionic butterfly with extended arithmetics -a Tribute to Laurent Schwartz- Birds and fishes The Borromean Rings Fractal Notre-Dame de la Garde, Marseilles A fractal Klein bottle Untitled 0187 Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold


    See the whole exhibition:

    Exhibition at the Ecole Polytechnique -09/2013- Exhibition at the Ecole Polytechnique -09/2013- Exhibition at the Ecole Polytechnique -09/2013- Exhibition at the Ecole Polytechnique -09/2013- Exhibition at the Ecole Polytechnique -09/2013- Exhibition at the Ecole Polytechnique -09/2013- Exhibition at the Ecole Polytechnique -09/2013-




  • See my anaglyphs in the exhibition at La Nuit desChercheurs 2013 at the Ecole Polytechnique in Palaiseau on 09/27/2013:





  • See my pictures (as well as the Patrice Jeener's ones) in the exhibition at the Library of the Ecole Polytechnique in Palaiseau on january and february 2015:

    Exhibition at the Ecole Polytechnique -01/2015-02/2015- Exhibition at the Ecole Polytechnique -01/2015-02/2015- Exhibition at the Ecole Polytechnique -01/2015-02/2015- Exhibition at the Ecole Polytechnique -01/2015-02/2015- Exhibition at the Ecole Polytechnique -01/2015-02/2015- Exhibition at the Ecole Polytechnique -01/2015-02/2015-


    then at the Lycée Louis le Grand in Paris on march 2015:

    Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015- Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015- Exhibition at the Lycee Louis le Grand -03/16/2015-03/21/2015-





  • An exhibition at the Ecole Polytechnique during la Fête de la Science, 10/2015.




  • An exhibition at the 'Centre Culturel Français' and at the 'lycée Galatasaray' in Istanbul, 03/2018.


    • An exhibition at the 'Centre Culturel Français' and at the 'lycée Galatasaray' at Istanbul -03/2018, -Courtesy of Francesco De-Comité- An exhibition at the 'Centre Culturel Français' and at the 'lycée Galatasaray' at Istanbul -03/2018, -Courtesy of Francesco De-Comité-







  • An exhibition at 'la Mairie du cinquième arrondissement de Paris', 03/2018.


    • Exhibition at 'la Mairie du cinquième arrondissement de Paris' -03/2018-







  • An exhibition "Tribute to Artists and Scientists" at the Ecole Polytechnique during la Fête de la Science, 10/2018.




  • See my Benoît Mandelbrot's tributes in the main hall of the Ecole Polytechnique:

    A fractal fresco in the main hall of the Ecole Polytechnique -04/1986- A fractal fresco in the main hall of the Ecole Polytechnique -03/2011-




  • See my pictures in the Conference Room of the CMAP at the Ecole Polytechnique:

    Conference Room of the CMAP at the Ecole Polytechnique Conference Room of the CMAP at the Ecole Polytechnique Conference Room of the CMAP at the Ecole Polytechnique




  • See my pictures in the Assembly Room of the CMAP at the Ecole Polytechnique:

    Assembly Room of the CMAP at the Ecole Polytechnique Assembly Room of the CMAP at the Ecole Polytechnique




  • An exhibition at UNESCO, Paris, 11/2018.


    • One of my pictures at UNESCO, Paris, 11/2018







  • An exhibition "Tribute to Artists and Scientists" at the Ecole Polytechnique during la Fête de la Science, 10/2018.




  • An exhibition at IHES, Bures-sur-Yvette, 02/17/2022.




  • A Gift of six Works of Art to the Institut Henri Poincaré (IHP), Paris, 01/10/2024.




  • An exhibition at the Ecole Polytechnique during la Fête de la Science, 10/2025.



    • Copyright © Jean-François COLONNA, 2024-2026.
    Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2024-2026.