Life is a fractal

The idea that “life is a fractal” refers to the concept that the structure and behaviour of complex systems, such as living organisms, can often be described using the mathematical concept of a fractal. In mathematical terms, a fractal is a geometric object that exhibits self-similarity, meaning that it has the same basic pattern at all scales of magnification. This property allows fractals to accurately model and describe a wide range of natural phenomena, including the intricate patterns found in many living systems.

The idea that life is a fractal suggests that the same underlying patterns and principles can be observed at all levels of a living system, from the molecular level to the level of entire ecosystems. This view has significant implications for our understanding of the fundamental nature of life and the complex systems that make it up. By studying the fractal-like patterns in living systems, we can gain insight into the underlying mechanisms that govern the behaviour of these systems and develop a more holistic view of life.

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Visions of Chaos

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Visions of Chaos is a professional high end software application for Windows. It is simple enough for people who do not understand the mathematics behind it, but advanced enough for enthusiasts to tweak and customise to their needs. It is the most complete all in one application dealing with Chaos Theory and Machine Learning available. Every mode is written to give the best possible quality output. There are thousands of sample files included to give you an idea of what Visions of Chaos is capable of.

Agent-Based Modelling
     2D Particle Life
     3D Particle Life
     Ant Colony Simulation
     Boids
     2D Huegene
     3D Huegene
     Pandemic Simulation
     Physarum Simulation
     Primordial Particle Systems
     Species
     Termites Simulation
     2D Wa-Tor
     3D Wa-Tor

Cellular Automata
     1D Cellular Automata
         1D Cellular Automata
         1D Totalistic Cellular Automata
         Cascade Cellular Automata
         Combinations Cellular Automata
         Continuous Automata
         Extended Neighborhood Cellular Automata
         Mobile Automata
         Extended Mobile Automata
         Generalized Mobile Automata
         Three Color Totalistic Automata
         Traffic Cellular Automata
         Two Steps Back Cellular Automata
         Two State Block Cellular Automata
         Three State Block Cellular Automata
     2D Cellular Automata
         2D Generations Cellular Automata
         2D Totalistic Cellular Automata
         Accretor Cellular Automata
         Alternate Neighborhoods Cellular Automata
         Alternate Neighborhoods Cyclic Cellular Automata
         Archean Cellular Automata
         Block Cellular Automata
         Coupled Cellular Automata
         Cyclic Cellular Automata
         Digital Inkblot
         Hexagonal Cellular Automata
         History Dependant Cellular Automata
         Hodgepodge Machine
         Indexed Totalistic Cellular Automata
         Large Neighbourhood Totalistic Cellular Automata
         Liquid Crystal Cellular Automata
         Majority Rule Cellular Automata
         MergeLife Cellular Automata
         Multiple Channel Cyclic Cellular Automata
         Multiple Neighborhoods Cellular Automata
         Multiple Rules Cellular Automata
         Nonlinear Voter Model
         Rock Paper Scissors Cellular Automata
         Sandpile Automata
         Self Replicating Loops
         Smooth Life Cellular Automata
         Stepping Stone Cellular Automata
         Stochastic Cellular Automata
         Tiled Cellular Automata
         Triangular Cellular Automata
         Yin Yang Fire
         Zhang Cellular Automata
     3D Cellular Automata
         3D Accretor Cellular Automata
         3D Cyclic Cellular Automata
         3D Generations Cellular Automata
         3D Hexagonal Generations Cellular Automata
         3D History Dependant Cellular Automata
         3D Hodgepodge Machine
         3D Rule Table Cellular Automata
         3D Stochastic Cellular Automata
         3D Voxel Automata Terrain
     4D Cellular Automata
         4D Accretor Cellular Automata
         4D Generations Cellular Automata
         4D Hodgepodge Machine
         4D Rock Cyclic Cellular Automata
         4D Rock Paper Scissors Cellular Automata
     5D Cellular Automata
         5D Generations Cellular Automata

Dendritic Growth
     Dendritic Crystal Growth
     Gravner-Griffeath Snowflakes
     Reiter Snowflakes

Diffusion-Limited Aggregation
     2D Diffusion-Limited Aggregation
     3D Diffusion-Limited Aggregation
     Dendron Diffusion-Limited Aggregation
     Vertical Diffusion-Limited Aggregation

Fluid
     2D Multiphase Smoothed-Particle Hydrodynamics
     3D Multiphase Smoothed-Particle Hydrodynamics
     2D Jos Stam Stable Fluids
     3D Jos Stam Stable Fluids
     Eulerian MAC Fluid Simulation
     Latice Boltzmann Method Fluid Simulations
     Ripple Tank / Cymatics
     Viscoeleastic Fluid

Fractals
     Circle Fractals
     Complex Plane Fractals
     Ducks Fractals
     Escape Fractals
     Fractal Planet
     Julia Set Fractals
     Halley Fractals
     Householder Fractals
     Lyapunov Fractals
     Mandelbrot Set Fractals
     Newton Fractals
     Plasma Cloud Fractals
     Root-Finding Fractals
     Schroder Fractals
     Secant Fractals
     Fractal Terrain
     Thorn Fractals

Genetics
     2D Virtual Creatures
     3D Virtual Creatures
     Three Genetic Art modes
     Genetic Bugs

Gravity
     2D Gravity
     3D Gravity
     2D Gravity Set
     3D Gravity Set
     Light Gravity

Hypercomplex Fractals
     Mandelbulb and Juliabulb
     Polynomial Mandelbulb and Juliabulb
     Manowar Mandelbulb and Juliabulb
     Phoenix Mandelbulb and Juliabulb
     Ikenaga Mandelbulb and Juliabulb
     Mandelbox and Juliabox
     Kaleidoscopic IFS Fractals
     Quaternion Julia Sets

Iteration/Recursion
     Bifurcation
     Cube Divider
     Flame Fractals
     Iterated Function System
     L-Systems
     Recursive Lattice
     Sierpinski Triangle

Lattice Gas Automata
     FHP LGA
     HPP LGA

Machine Learning
     3D
          Depth-Conditional Stable Diffusion
          Depth Mapping
          Instant Neural Graphics Primitives
          Point-E
     Audio
          Dance Diffusion
          Deep Music Visualizer
          LSTM Music Composer
          Riffusion
          TorToiSe Text-to-Speech
     DeepDream
          DeepDream PyTorch
          DeepDream TensorFlow
          HeadTrip
     Image Captioning
          BLIP Image Captioning
          CLIP Image Captioning
          CLIP Interrogator
          LAION Interrogator
          OpenCLIP Interrogator
     Image Generation
          InvokeAI
          Neural Cellular Automata Textures
          Stable Diffusion Web UI
          Stable-Karlo
          Text-to-Image
     Image Processing
          AnimeGAN2
          Image Bakcground Removal
          Informative Drawings
          Stylized Neural Painting
     Image Restoration
          Bringing Old Photos Back To Life
          Colorization
          Generative Adversarial Network Prior Embedded Network (GPEN)
          Generative Facial Prior Generative Adversarial Network (GFPGAN)
     Image Upscaling
          Stable Diffusion x4 Upscaler
          Super Resolution
     Inpainting
          3D Photo Inpainting
          IntraPaint
          Lama Cleaner Inpainting
          Stable Diffusion v2 Inpainting
     Model Training
          Dreambooth
          EveryDream2
          Textual Inversion Training
     Movie Generation
          Thin-Plate Spline Motion Model for Image Animation
     Movie Interpolation
          Depth-Aware Video Frame Interpolation (DAIN)
          Frame Interpolation for Large Scene Motion (FILM)
          Real-Time Intermediate Flow Estimation (RIFE)
          Super-Slomo
     Outpainting
          Stable Diffusion Infinity
     StyleGAN
          StyleGAN2
          StyleGAN3
     Style Transfer
          Neural Neighbor Style Transfer
          Style Transfer
          Style Transfer PyTorch
     Text
          Galactica
          GPT-2 Text Generator
          GPT-Neo

Music
     Automatic Music Composer
     Genetic Music Composer
     LSTM Music Composer
     Whitney Music Box

OpenGL Shading Language
     8345 sample OpenGL shaders
     Custom GLSL Formula Editor and Compiler which includes;
          Buffalo Fractals
          Burning Ship Fractals
          Celtic Fractals
          Mandelbar Fractals
          Meta-Mandelbrot Fractals
          Newton Fractals
          etc

Pendulums
     Magnetic Pendulum
     Pendulums
     Spring Pendulums

Plotting
     2D Spirograph
     3D Spirograph
     Knots

Reaction Diffusion
     Turing Reaction Diffusion
     Meinhardt Reaction Diffusion
     Gray-Scott Reaction Diffusion
     Complex Ginzburg-Landau Reaction Diffusion
     FitzHugh-Nagumo Reaction Diffusion
     Multi-Scale Turing Patterns

Simulations
     Biham-Middleton-Levine Traffic Model
     Forest Fire
     Lorenz Waterwheel

Strange Attractors
     2D Strange Attractors
     3D Strange Attractors

Universal Turing Machines
     Ant Automata
     3D Ant Automata