Non Deterministic Fractal Geometry

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Natural Phenomenon Synthesis

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Synthèse de Phénomènes Naturels

Jean-François COLONNA

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France

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(CMAP28 WWW site: this page was created on 03/15/2000 and last updated on 07/04/2020 10:54:19 -CEST-)

- Generation of Fractal Fields, Principles [
*Génération de Champs fractals, Principes*]: - Clouds [
*Nuages*]: - Landscapes [
*Paysages*]: - One Landscape and Various Meteorological Conditions [
*Un seul Paysage dans des Conditions Météorologiques Variées*]: - How the West was won [
*La Conquête de l'Ouest*]:
[more information]
- Fractal Euclidian Landscapes [
*Paysages Fractals et Euclidiens*]: - Landscape Interpolation [
*Interpolation de Paysages*]: - Deep Space [
*Au plus Profond de l'Espace*]: - Some of my first fractal pictures made in 1980 -very low resolution: 256x256, 8 colors- [
*Quelques une de mes premières images fractales faites en 1980 -très basse résolution: 256x256, 8 couleurs-*]: - Random Surfaces [
*Surfaces Aléatoires*]: - Tridimensional Structures [
*Structures Tridimensionnelles*]: - Bidimensional Erosion Process according to the Sapoval-Baldassarri-Gabrielli Theory [
*Processus d'Erosion Bidimensionnelle suivant la Théorie de Sapoval-Baldassarri-Gabrielli*]: - Bidimensional Etching Process according to the Sapoval-Kolwankar Theory [
*Processus d'Attaque Chimique Bidimensionnelle suivant la Théorie de Sapoval-Kolwankar*]: - Tridimensional Erosion Process according to the Sapoval-Baldassarri-Colonna-Gabrielli Theory [
*Processus d'Erosion Tridimensionnelle suivant la Théorie de Sapoval-Baldassarri-Colonna-Gabrielli*]: - Pseudo-Erosion Processes [
*Processus de pseudo-érosion*]: - Diffusion Processes [
*Processus de Diffusion*]: - Bidimensional Brownian Motion [
*Mouvement Brownien Bidimensionnel*]: - Tridimensional Brownian Motion [
*Mouvement Brownien Tridimensionnel*]: - Bidimensional Diffusion Limited Aggregations and Fractal Aggregates [
*DLAs et Agrégats Fractals Bidimensionnels*]: - Fractal Diffusion Front in a Bidimensional Medium [
*Front Fractal de Diffusion dans un Milieu Bidimensionnel*]: - Fractal Diffusion Front in a Tridimensional Medium [
*Front Fractal de Diffusion dans un Milieu Tridimensionnel*]: - Tridimensional Diffusion Limited Aggregations and Fractal Aggregates [
*DLAs et Agrégats Fractals Tridimensionnels*]: - Iterated Function Systems (IFS) [
*Systèmes de Fonctions Itérées (IFS)*]: - Recursive "Living" Structures [
*Structures "Vivantes" Récursives*]:
[more information about the Recursive "Living" Structures
-en français/in french-]
- Trees [
*Arbres*]: - Miscellaneous [
*Divers*]:

Archipelago. |
Foggy islands. |
Paradoxal islands at sunset. |

Multifractal mountains (side view). |
Multifractal mountains (bird's-eye view). |

Dynamics of an erosion process (bird's-eye view). |
Erosion process. |
Dynamics of an erosion process with fog. |

Waltzing snowy Rocky Mountains. |
Snowy Rocky Mountains. |
Snowy Rocky Mountains. |

Grand Canyon (bird's-eye view). |
Foggy Grand Canyon. |
Opencast mine (bird's-eye view). |
Foggy opencast mine. |
Foggy Cliffs. |

Mystery cliffs at sunrise. |
Foggy Cliffs. |
Foggy Cliffs. |

The foggy Babel Tower -a tribute to Brueghel the Elder-. |
The erection of the Babel Tower. |
The erosion of the Babel Tower. |
A set of 4x3 stereograms of a few Babel Towers. |
The foggy Babel Pyramid. |

The tide. |
Octonionic mountains with extended arithmetics. |
Octonionic mountains with extended arithmetics. |

The Gate. |
Inside the Gate. |
Beyond the Gate. |

The end of the World. |

Linear landscape interpolation. |
Linear landscape interpolation with fog. |

Beyond Pluto. |
A dying Borg starship on Pluto. |

The City and the Stars -a Tribute to Arthur C. Clarke-. |

Shore. |
Shore. |
Planet. |
Boy planet. |
Boy planet with a sea. |

'Fractal set of ropes' based on a plane. |
'Fractal set of ropes' based on a plane. |

Fractal 'celestial body' based on a sphere. |

Fractal 'celestial body' based on a torus. |

Self-similar zoom in on tridimensional fractal structure. |

Tridimensional fractal structure. |
Tridimensional fractal structure. |
Tridimensional fractal structure. |
Tridimensional fractal structure. |

Tridimensional fractal structure. |
Tridimensional fractal structure. |
Tridimensional fractal structure. |

Tridimensional fractal structure. |
Tridimensional fractal structure. |
Tridimensional fractal structure. |

Tridimensional fractal structure -the space-time foam?-. |

Tridimensional fractal structure. |

Foggy cliffs. |
Erosion of a bidimensional random (with small and large scale correlations) medium. |
Cliffs at sunset. |

Foggy cliffs. |
Foggy seaboard. |
Erosion of a bidimensional random (with small and large scale correlations) medium. |
Foggy 'anti-seaboard'. |
Cliffs at sunset. |

The foggy Earth planet. |
The foggy Earth 'anti-planet'. |
Foggy Brittany. |
Foggy 'anti-Brittany'. |

Foggy cliffs. |

The bottom of the sea. |
Tridimensional eroded medium. |

The eroded Menger sponge -iteration 3-. |
The eroded complement of the Menger sponge -iteration 2-. |

Tridimensional accumulation of 512 correlated bidimensional brownian motions -1000 time steps-. |
Tridimensional accumulation of 512 correlated bidimensional brownian motions -50000 time steps-. |

Tridimensional accumulation of 512 correlated tridimensional brownian motions -1000 time steps-. |
Tridimensional accumulation of 512 correlated tridimensional brownian motions -50000 time steps-. |

A gradient of 114299 particles obtains by means of a tridimensional diffusion process. |
A gradient of 128312 particles obtains by means of a tridimensional diffusion process. |

A bidimensional fern computed by means of an 'Iterated Function System' -IFS-. |
A bidimensional Sierpinski 'carpet' computed by means of an 'Iterated Function System' -IFS-. |

A pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-. |
Artistic view of a pyramidal Menger sponge computed by means of an 'Iterated Function System' -IFS-. |

A fractal vegetal structure. |
A fractal vegetal structure -'the Knowledge Tree'-. |

Cauliflowers, seaweeds, shells,... with fog. |
Animation of a natural form. |
Alien. |
Alien. |
Animation of a natural form. |

Animation of a natural form. |

A random bidimensional fractal tree and the self-similarity. |
The self-similarity of a random bidimensional fractal tree. |
A random tridimensional fractal tree and the self-similarity. |

A random tridimensional binary tree. |
A random tridimensional binary tree. |
A random tridimensional binary tree. |
Magical forest. |
A random tridimensional binary tree. |

A random tridimensional graph. |

Artistic view of a fractal Multiverse. |
Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 637.312 galaxies) obtained by means of a non deterministic fractal process. |

Birds and fishes. |

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Copyright (c) CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2000-2020.