Gallery :

Artistic Creation

[Galerie : Création Artistique]

$Sixteen interlaced fractal torus$

Jean-François COLONNA
www.lactamme.polytechnique.fr
jean-francois.colonna@polytechnique.edu
CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

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Artistic Creation [Création Artistique] :

Tributes [Hommages] :
Sculptures [Sculptures] :
Quantum Mechanics [Mécanique Quantique] :
Deterministic Chaos [Chaos Déterministe] :
Fractal Geometry [Géométrie Fractale] :
Number Theory [Théorie des Nombres] :
Celestial Mechanics [Mécanique Céleste] :
Impossible Structures [Structures Paradoxales] :
Self-Portraits [Auto-Portraits] :
Ecole Polytechnique :
World Mathematical Year 2000 [L'An 2000, Année des Mathématiques] :
Graphics Works of Art [Oeuvres Graphiques] :
Miscellaneous [Divers] :
Oldies But Goldies -very low resolution pictures : 1024x1024, black and white- [Vieilleries -images de très basse résolution : 1024x1024, noir et blanc-] :
Oldies But Goldies -very low resolution pictures : 256x256, 8 colors- [Vieilleries -images de très basse résolution : 256x256, 8 couleurs-] :

Artistic Creation [Création Artistique] :

[more information ]

Tributes [Hommages] :

Archimede[s].	Baxter, Stephen.	Böcklin, Arnold.	Botticelli, Sandro.	Boy, Werner.
Cartier, Jacques.	Clarke, Arthur C..	Cohen, Leonard.	Conway, John Horton.	Escher, Maurits C..
Fatou, Pierre.	Goldbach, Christian.	Hernandez, Jose.	Hilbert, David.	Hockney, David.
Julia, Gaston.	Klein, Felix.	Mandelbrot, Benoit.	Mobius, August.	Mondrian, Piet.
Monet, Claude.	Munch, Edvard.	Newton, Isaac.	Penrose, Roger.	Poincare, Henri.
Pythagore.	Révillon, Yves.	Riemann, Bernhard.	Sierpinski, Waclaw.	Tanguy, Yves.
Verhulst, Pierre François.	Tatline, Vladimir.	von Koch, Helge.

Sculptures [Sculptures] :

$A fractal sphere$ A fractal sphere.	$A fractal torus$ A fractal torus.	$A fractal Möbius strip$ A fractal Möbius strip.	$A fractal Klein bottle$ A fractal Klein bottle.	Fractal 3-foil torus knot.
Fractal 5-foil torus knot.	Fractal 7-foil torus knot.	$A fractal polyhedron$ A fractal polyhedron.	$Sixteen interlaced fractal torus$ Sixteen interlaced fractal torus.	$Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold$ Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold.
The quaternionic Julia set computed with A=(0,1,0,0) -tridimensional cross-section-.

Quantum Mechanics [Mécanique Quantique] :

Artistic view of a quadridimensional Calabi-Yau manifold.

Welcome aboard a Virtual Space-Time Travel Machine.

The snake swallows its own tail.

Artistic view of a nucleon.

Artistic view of the Hydrogen atom.

Deterministic Chaos [Chaos Déterministe] :

Artistic view of the Verhulst dynamics.

Bidimensional artistic view of the Verhulst dynamics.

Tridimensional visualization of a conformal mapping of the Verhulst dynamics.

Tridimensional artistic view of the Verhulst dynamics.

Lorenz butterfly.

Artistic view of the Lorenz attractor.

$Artistic view of the trajectories of bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity$ 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.	$Artistic view of the trajectories of tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity$ 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.	No Title 0020.	$Exploding tridimensional fractal aggregate$ Exploding tridimensional fractal aggregate.	$Exploding tridimensional fractal aggregate$ Exploding tridimensional fractal aggregate.
No Title 0018.	No Title 0019.	No Title 0031.

Flames.

No Title 0016.

Fractal Geometry [Géométrie Fractale] :

No Title 0027.

No Title 0034.

No Title 0012.

No Title 0028.	Artistic view of a quaternionic Julia set -tridimensional cross-section-.	Artistic view of a quaternionic Julia set -tridimensional cross-section-.	Artistic view of 128 quaternionic Julia sets -tridimensional cross-sections-.	Artistic view of a 2.pi rotation about the Y axis of a quaternionic Julia set -tridimensional cross-sections-.
No Title 0025.	Quaternionic UFO.

The Birth of the Universe.

$A bidimensional fractal field$ A bidimensional fractal field.	No Title 0160.	No Title 0161.	Staircase.	Mountains.
Artistic view of mountains.	Artistic view of mountains.	No Title 0024.	No Title 0026.	Foggy Babel Tower.
The Gate.	First clouds on the Moon.

$Tridimensional fractal structure in a tridimensional torus$

Tridimensional fractal structure in a tridimensional torus.

Chessboard.

Paradoxal structure.	Paradoxal black hole.	Paradoxal structure.	Paradoxal structure -from Order to Disorder-.	Paradoxal structure.
Paradoxal structure in the sky.	Paradoxal structure based on the geometry of the sphere.	Paradoxal structure based on the geometry of the Bonan-Jeener's triple Klein bottle.	Paradoxal structure based on the geometry of the Boy surface.

Paradoxal structure based on the geometry of the plane.

Paradoxal structure based on the geometry of the sphere.

Paradoxal structure based on the geometry of the Bonan-Jeener's triple Klein bottle.

Paradoxal structure based on the geometry of the Boy surface.

Self-Portraits [Auto-Portraits] :

Iceberg.	Jean-François Colonna.	Jean-François Colonna.	Jean-François Colonna.	Jean-François Colonna.
Jean-François Colonna.	Jean-François Colonna.	Jean-François Colonna.	Jean-François Colonna.	Jean-François Colonna.
Self-Portrait with intertwining.	Self-Portrait with intertwining.	Self-Portrait with intertwining.	Jean-François Colonna.	Jean-François Colonna.
Jean-François Colonna.	Jean-François Colonna.	Computer crash.	Fractal self-portrait.	1/z conformal mapping.
Liquid Jean-Francois Colonna.	Autostereogram with an hidden volcano and 64 self-portraits.	Mask mountain.	Mask anti-mountain.	Mask mountain.
Mask anti-mountain.	Alien.	Jean-Francois Colonna meets Ernst Ising.	Mount Colonna 1.	Mount Colonna 2.
Tridimensional self-portrait.	Soft self-portrait.	Cloudy Colonna 1.	Cloudy Colonna 2.	Jean-Francois Colonna meets Georgii Fedeorovitch Voronoi (euclidian distance).
Jean-Francois Colonna meets Georgii Fedeorovitch Voronoi (euclidian distance).	Jean-Francois Colonna meets Georgii Fedeorovitch Voronoi (euclidian distance).	Tridimensional self-portrait.	Tridimensional self-portrait.	Tridimensional self-portrait.
Tridimensional self-portrait.	Tridimensional Self-Portrait.	$Tridimensional fractal Self-Portrait$ Tridimensional fractal Self-Portrait.	$Tridimensional fractal Self-Portrait$ Tridimensional fractal Self-Portrait.	$Tridimensional fractal Self-Portrait$ Tridimensional fractal Self-Portrait.
Tridimensional Self-Portrait.	$Tridimensional fractal Self-Portrait$ Tridimensional fractal Self-Portrait.	$Tridimensional fractal Self-Portrait$ Tridimensional fractal Self-Portrait.	$Tridimensional fractal Self-Portrait$ Tridimensional fractal Self-Portrait.

Ecole Polytechnique :

Ecole Polytechnique.

Happy birthday.

Happy new year 2000.

The CMAP logo.

Autostereogram of the CMAP.

World Mathematical Year 2000 [L'An 2000, Année des Mathématiques] :

World Mathematical Year 2000.

Graphics Works of Art [Oeuvres Graphiques] :

Tridimensional representation of a quadridimensional Calabi-Yau manifold.	The quaternionic Julia set computed with A=(0,1,0,0) -tridimensional cross-section-.	$Tridimensional fractal structure in a tridimensional torus$ Tridimensional fractal structure in a tridimensional torus.	Alien.	Mountains with large linear structures and discontinuities (bird's-eye view).
The Solar System with a virtual planet -virtual planet point of view-.	The Solar System with a virtual planet -virtual planet point of view-.

Miscellaneous [Divers] :

Rings.

The Borromean Rings.

Merry Christmas 2011.

Particles.	Internet.	Carnival in motion.	Carnival.	Carnival in motion.
Circular worm.	Circular worm.	Circular worms.

Random intertwining.	Tridimensional display of a random intertwining.	Random intertwining.	Random intertwining.	Random intertwining.
Random intertwining.	Random intertwining.	Random intertwining.	Intertwining based on a bidimensional square lattice.	Intertwining based on a conformal mapping of a bidimensional square lattice.
Intertwining based on a conformal mapping of a bidimensional square lattice.	Intertwining based on the geometry of a disk.	Intertwining based on the geometry of the sphere.	Intertwining based on the geometry of the Boy surface.	Intertwining based on the geometry of a Möbius strip.
Intertwining based on the geometry of a Klein bottle.	Intertwining based on the geometry of the Bonan-Jeener's triple Klein bottle.	Intertwining based on the geometry of a shell (Jeener surface 1).	Intertwining based on the geometry of the Lorenz attractor.

The Earth, the Life and the Sun.

Symmetrical tridimensional structure.

No Title 0029.

Artistic view of a shell (Jeener surface 1).	Psychedelic hypercube.	Psychedelic hypercube.	No Title 0023.	The tower -a tribute to Vladimir Tatline-.
No Title 0040.

No Title 0051.

No Title 0052.

No Title 0053.

Tridimensional Mondrian -a tribute to Piet Mondrian-.

Artistic view of a the Jeener-Mobuis tridimensional manifold.

Peace.

White Hole.	Artistic view of a Black Hole.	Explosion.	No Title 0005.	No Title 0001.
No Title 0003.	No Title 0004.	No Title 0006.	No Title 0007.	No Title 0008.
No Title 0009.	No Title 0011.	No Title 0013.	No Title 0014.	No Title 0015.
No Title 0021.	No Title 0037.	No Title 0038.	No Title 0097.	No Title 0098.
No Title 0039.	Synthesis of bidimensional geometrical textures.	Synthesis of bidimensional geometrical textures.	No Title 0089.	Synthesis of bi and tridimensional geometrical textures.
Flower.	No Title 0090.	A Tribute to Archimedes.	No Title 0096.

The scream -a Tribute to Edvard Munch-.	'There is a war' -a Tribute to Leonard Cohen-.	Quaternionic lion.	Quaternionic lion with extended arithmetics.	Quaternionic butterfly with extended arithmetics.
Quaternionic lion with extended arithmetics.	Quaternionic lion with extended arithmetics.	Quaternionic cat.

Quaternionic flower.	Quaternionic ghost.	No Title 0073.	No Title 0058.	No Title 0059.
Quaternionic shell fossil.	Quaternionic shell fossil.	Quaternionic shell.	No Title 0074.	No Title 0086.
Quaternionic shell.	Quaternionic shell with extended arithmetics.	Quaternionic shell.	No Title 0054.	No Title 0055.
No Title 0056.	No Title 0057.	No Title 0060.	No Title 0066.	No Title 0070.
No Title 0071.

No Title 0061.	No Title 0063.	No Title 0064.	No Title 0065.	No Title 0067.
No Title 0068.	No Title 0069.	No Title 0075.

Brittany.

Fractal Brittany.

No Title 0041.	No Title 0042.	No Title 0043.	$Synthesis of bidimensional textures by means of the self-transformation of a fractal process$ Synthesis of bidimensional textures by means of the self-transformation of a fractal process.	$Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process$ Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process.
$Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process$ Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process.	$Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process$ Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process.	No Title 0084.	$Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process$ Artistic view of a bidimensional texture obtained by means of the self-transformation of a fractal process.	No Title 0085.
No Title 0044.	No Title 0045.	No Title 0088.

No Title 0046.	No Title 0047.	Synthesis of tridimensional textures by means of the self-transformation of three elementary scalar fields.	Synthesis of tridimensional textures by means of the self-transformation of three elementary scalar fields.	Synthesis of tridimensional textures by means of the self-transformation of three elementary scalar fields.
No Title 0104.	No Title 0110.	Non euclidian distance.	No Title 0093.	No Title 0094.
No Title 0095.	No Title 0124.	No Title 0125.	Tridimensional integration of the anisotropic gaussian Fourier filtering of a random field with a 2.pi rotation of the kernel.	The Nympheas -a tribute to Claude Monet-.
The monsters of the lily pond.	No Title 0131.