Giter VIP home page Giter VIP logo

lorenz's Introduction

Animated 3D Simulation of Lorenz Attractor (Mathematical Butterfly Effect / Chaos Theory)

What the hell is that?

The Lorenz attractor is a set of three differential equations that define a path in tridimentional space:

Given a 3D point in space (x,y,z) at time t0, you can calculate the next point t1 by using a numerical iterative method (such as Runge-Kutta). If you apply this again and again you can generate a set of points that can be rendered and animated.

So what about it? This path has a "butterfly" shape and exhibits chaotic properties, a small change in the initial point can lead to completely different (and apparently random) paths.

Dependencies

Under OSX, having Xcode installed.

Under Linux: sudo apt-get install freeglut3-dev libgles2-mesa-dev

Compiling

$ make

Running

$ ./lorenz

Usage

  • Space: Play/Pause
  • ESC: Exit
  • Mouse: Rotate
  • Keys 1-5: Several presets.
  • +/-: Zoom
  • u: Animation mode (Full graph, start to current, trail)
  • r/t: Animation speed
  • y: Restart animation.
  • o: Line mode (Point/Line/Triangles)
  • p: Show graph of projection to each axis.

Screenshots

lorenz's People

Contributors

marioariasga avatar

Stargazers

 avatar  avatar  avatar  avatar  avatar  avatar  avatar  avatar  avatar  avatar  avatar  avatar  avatar  avatar  avatar  avatar  avatar  avatar  avatar  avatar  avatar

Watchers

 avatar

Recommend Projects

  • React photo React

    A declarative, efficient, and flexible JavaScript library for building user interfaces.

  • Vue.js photo Vue.js

    ๐Ÿ–– Vue.js is a progressive, incrementally-adoptable JavaScript framework for building UI on the web.

  • Typescript photo Typescript

    TypeScript is a superset of JavaScript that compiles to clean JavaScript output.

  • TensorFlow photo TensorFlow

    An Open Source Machine Learning Framework for Everyone

  • Django photo Django

    The Web framework for perfectionists with deadlines.

  • D3 photo D3

    Bring data to life with SVG, Canvas and HTML. ๐Ÿ“Š๐Ÿ“ˆ๐ŸŽ‰

Recommend Topics

  • javascript

    JavaScript (JS) is a lightweight interpreted programming language with first-class functions.

  • web

    Some thing interesting about web. New door for the world.

  • server

    A server is a program made to process requests and deliver data to clients.

  • Machine learning

    Machine learning is a way of modeling and interpreting data that allows a piece of software to respond intelligently.

  • Game

    Some thing interesting about game, make everyone happy.

Recommend Org

  • Facebook photo Facebook

    We are working to build community through open source technology. NB: members must have two-factor auth.

  • Microsoft photo Microsoft

    Open source projects and samples from Microsoft.

  • Google photo Google

    Google โค๏ธ Open Source for everyone.

  • D3 photo D3

    Data-Driven Documents codes.