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A collection of python scripts for drawing beautiful figures or animating interesting algorithms in mathematics. You can visit the website for this repository to see how to use these scripts and get more information of the math behind them.

fractals algorithms tilings geometry reactiondiffusion penrosetilingThis program will generate Sierpinski's triangle using Silverlight.

fractals sierpinskipynamical uses pandas, numpy, and numba for fast simulation, and matplotlib for visualizations and animations to explore system behavior. Compatible with Python 2 and 3. Pynamical comes packaged with the logistic map, the Singer map, and the cubic map predefined. The models may be run with a range of parameter values over a set of time steps, and the resulting numerical output is returned as a pandas DataFrame. Pynamical can then visualize this output in various ways, including with bifurcation diagrams, two-dimensional phase diagrams, three-dimensional phase diagrams, and cobweb plots.

chaos nonlinear fractal logistic visualization modeling animation math physics pandas numba numpy matplotlib ipynb bifurcation-diagram fractals systems phase-diagram cobweb-plotMetalbrot.playground is an interactive playground showing how to use Metal compute kernels with Swift. More information can be found on my blog.

playground metal fractals graphicsJulia package for Fatou sets. Install using Pkg.add("Fatou") in Julia. See Explore Fatou sets & Fractals in Wiki for detailed examples. This package provides: fatou, juliafill, mandelbrot, newton, basin, plot, and orbit; along with various internal functionality using Reduce and Julia expressions to help compute Fatou.FilledSet efficiently. Full documentation is included. The fatou function can be applied to a Fatou.Define object to produce a Fatou.FilledSet, which can then be passed as an argument to the plot function of PyPlot. Creation of Fatou.Define objects is done via passing a parse-able function expression string (in variables z, c) and optional keyword arguments to juliafill, mandelbrot, and newton. Fatou also provides basin to display the the Newton / Fatou basins using set notation in LaTeX in IJulia.

julia fatou newton-fractals complex-analysis mandelbrot cobweb-plot fractal-images fractals julia-setsFractastic is a simple and approachable fractal generator written in C. It generates Julia set fractals by repeatedly iterating a complex quadratic function until divergence (or convergence). The number of iterations required to diverge at a point is recorded and used as part of the value to color the related pixel in the final, rendered image of the fractal. run.sh is a script that will handle everything for you automatically. It is heavily commented, so you can see the exact steps that it takes. The C program outputs to stdout; run.sh just captures its output and pipes it to a ppm (and png, if ImageMagick is installed) file.

fractals mandelbrot-sets julia-setsAn example on how to use different concurrency patterns with Go to compute Mandelbrot sets.

mandelbrot fractals demoA C++ Voxel Engine, to succeed my Java Voxel Engine. Uses SDL, and may use OpenCL in the future. You need to install the SDL dlls in your system root directory in order to build or run my CVoxelEngine. I have provided the 64-bit SDL dlls in the lib folder of this repository, which you'd install in %SystemRoot%\SysWOW64 (e.g. C:\Windows\SysWOW64).

voxel sdl fractals rendererWhere a, b, c are parameters seeded by analyzing the waveform of the browser's audio. This equation is known as the 'Hopalong Attractor'. The graphical portion of this project was created by Iacopo Sassarini. In his implementation, he used random seeds to generate and render random Hapolong Orbital fractals. I modified his code to use the waveform of browser audio as a seed to generate fractals.

audio-visualizer fractals web-audio-apiA Scala native fractal generator. You need to install llvm, sdl2 and bdw-gc to your system.

sdl2 hacktoberfest fractals scala-native
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