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ART AND SCIENCE

[Art et Science]

$Artistic view of the trajectories of tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity$

Jean-François COLONNA

CMAP (Centre de Mathématiques APpliquées), Ecole Polytechnique, CNRS
91128 Palaiseau Cedex
France

tel = +33.(0)1.69.33.46.45
jean-francois.colonna@polytechnique.edu

http://www.lactamme.polytechnique.fr

http://www.cmap.polytechnique.fr/~colonna

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(this page was created on 03/15/2000)
(this page -belonging to the CMAP28 site- was last updated on 03/15/2010 09:35:26 -CET-)

Art and Science [Art et Science] :

Quantum Mechanics [Mécanique Quantique] :
Deterministic Chaos [Chaos Déterministe] :
Fractal Geometry [Géométrie Fractale] :
Number Theory [Théorie des Nombres] :
Knots and Intertwinings [Noeuds et Entrelacs] :
Celestial Mechanics [Mécanique Céleste] :
Signal Processing [Traitement du Signal] :
Miscellaneous [Divers] :

Art and Science [Art et Science] :

Quantum Mechanics [Mécanique Quantique] :

Tridimensional representation of a quadridimensional Calabi-Yau manifold

Tridimensional display of a linear superposition of 6 eigenstates of the Hydrogen atom (tridimensional computation)

Deterministic Chaos [Chaos Déterministe] :

Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-

$Artistic view of the trajectories of bidimensional fractal aggregates obtained by means of pasting during collisions of particles submitted to an attractive central field of gravity$

$Artistic view of the trajectories of tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity$

$Tridimensional artistic view of the trajectories of tridimensional fractal aggregates obtained by means of a 100% pasting process during collisions of particles submitted to a vertical field of gravity$

$Exploding tridimensional fractal aggregate$

Artistic view of the trajectories of 12 -initially- still particles submitted to an attractive central field of gravity in a tridimensional billiard

Artistic view of the bidimensional Ising Model with 2-state spins, temperature=0.2 and regular initial conditions (a chessboard)

Artistic view of the bidimensional Ising Model with 2-state spins, temperature=0.2 and random initial conditions

Fractal Geometry [Géométrie Fractale] :

Convolution of a detail of the Mandelbrot set

The quaternionic Julia set computed with A=(0,1,0,0)

2.pi rotation about Y and Z axes of a quaternionic Julia set

Artistic view of 128 quaternionic Julia sets

A foggy pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')

A pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-or again the children round-

A foggy pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(-0.5815147625160462,0.6358885017421603,0,0)

A foggy pseudo-quaternionic Julia set ('MandelBulb' like : a 'JuliaBulb')computed with A=(0,1,0,0) and with a locally variable exponent between 2 and 12

$The pseudo-quaternionic fractal set obtained when computing the roots of Q^3=1 using Newton's method with translation along the third axis of the pseudo-quaternionic space (a 'NewtonBulb')$