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

france telecom, France Telecom R&D

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(CMAP28 WWW site: this page was created on 03/15/2000 and last updated on 04/23/2020 12:09:43 -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. | 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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