Complex Systems and Graftals

Models of growth and branching in nature

• Procedural evolution
  • Cellular automata, von Neumann automata, game of life, John Conway
  • Graphical Turing machine
  • Self-organization, emergence, swarming, intelligent agents
  • Context-free graphics, Design by numbers
• Nature growth modelling
  • Patterns in nature, Turing patterns, D’Arcy Thompson
  • Spirals and helices, Archimedean, Fermat’s and logarithmic spiral, lituus
  • Golden spiral, plastic number, Padovan sequence, Harriss spiral
  • Lucas number, phyllotaxis, floral symmetry
• Lindenmayer systems
  • Digital morphogenesis
  • Rewriting systems, L-system, Aristid Lindemnayer, Przemysław Prusinkiewicz
  • Stochastic, parametric, context sensitive & bi-directional L-systems
• Artificial landscape
  • Brownian surface, diamond-square algorithm, Perlin noise
  • Erosion algorithms, hydraulic and aeolian actions
  • Fractal landscape, scenery generators

Discussion

• Visual Models of Morphogenesis (Przemysław Prusinkiewicz)
• The Algorithmic Beauty of Plants (Przemysław Prusinkiewicz)
• Building Unimaginable Shapes (Michael Hansmeyer)
• Green Gene: Information Hub on Virtual Vegetation
• Virtual Terrain Project

Assignment

Fractal landscape

Artifex Terra 3d – Bryce – Fractal Terrains – FractLand – Fractplanet – L3DT – Landscape Studio – Litosphere – MDTerrain – Mont 3d – Picogen – Terragen (ver. 2, ver. 1) – TerrainCreator – TerraJ – VUE World Creator

3d L-systems – Arbaro – FractalGen – Fraktalovac – Fraktaly – GDesign – glFT Trees – Graftal – LinSys3d – L-Studio – L-System 4 – L-System Studio – LMaker – LPlants – ngPlant Designer – Plant Factory – Rozmarný L-systém – SpeedTree – TreeBuilder – Vlab – Xfrog

 

Next topic

Geometric fractals  ▸