List of mathematical art software

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class="wikitable sortable"

|+ List of Mathematical Art Software

! Software !! Category !! License

Apophysishttps://design.tutsplus.com/articles/fractal-art-an-introduction-to-apophysis--cms-22248Fractal art{{open source|GPL}}
Chaoticahttps://www.deviantart.com/eichkaterkatze/art/Chaotica-Fractal-Art-Beginner-s-Glossary-773949044Fractal art{{center|Proprietary}}
Electric SheepFractal art{{open source|GPL-2.0-or-later}}
FractintFractal art{{open source|Public domain}}
[https://syntopia.github.io/Fragmentarium/get.html Fragmentarium] / [https://github.com/3Dickulus/FragM FragM]https://hatchstudios.com/work/fragmentarium/Fractal art{{open source|GPL-3.0}}
FyreFractal art{{open source|GPL-3.0}}
MandelbulbFractal art{{center|Proprietary freeware}}
MilkDropFractal art{{open source|BSD}}
openPlaGFractal art{{open source|GPL-2.0}}
Ultra FractalFractal art{{center|Proprietary}}
XaoSFractal art{{open source|GPL}}
R,https://blog.revolutionanalytics.com/2018/04/mathematical-art-in-r-.html [https://www.rayrender.net/ rayrender], R Mandelbrot sets, [https://github.com/koenderks/aRtsy aRtsy], [https://github.com/marcusvolz/mathart mathart]Fractal / Mandelbrot set / Parametric plots{{open source|GPL-2.0-or-later}}
SterlingFractal generation{{open source|GPL-3.0}}
BryceFractal landscape{{center|Proprietary}}
PicogenFractal landscape{{open source|GPL-3.0}}
TerragenFractal landscape{{center|Proprietary}}
GeoGebraParametric & Implicit Equation Art{{open source|GPL}}
Desmoshttps://www.youtube.com/watch?v=5O-xGZhnjsAhttps://achievethecore.org/peersandpedagogy/desmos-math-classroom/Parametric & Implicit Equation Art{{center|Proprietary freeware}}
GrapherParametric & Implicit Equation Art{{center|Proprietary}}
WinplotParametric & Implicit Equation Art{{center|Proprietary freeware}}
CinderGenerative art, algorithmic visuals, patterns{{open source|BSD}}
Processinghttps://www.dirtalleydesign.com/blogs/news/programming-numbers-and-art-making-generative-designsAlgorithmic / Generative Art{{open source|GPL}}
OpenFrameworksGenerative art{{open source|MIT}}
Grasshopper 3Dhttps://parametric-architecture.com/10-grasshopper-plugins-trending-in-the-aec-industry/Algorithmic design / Procedural modeling{{center|Proprietary}}
P5.jshttps://archive.p5js.org/learn/getting-started-in-webgl-coords-and-transform.htmlAlgorithmic / Generative Art{{open source|MIT}}
Python Turtle graphicshttps://simpleprogrammer.com/python-generative-art-math/Algorithmic / Generative Art{{open source|PSF License}}
matplotlibMathematical plotting{{open source|PSF}}
gnuplot2D and 3D plotting{{open source|Various}}
Inkscape spirograph, WriteTeX, or TexTextGeometric & Tessellation Art{{open source|GPL}}
Blender Python plugin scriptshttps://medium.com/swlh/generative-line-art-with-blender-2340a9fc5e63Topological Art{{open source|GPL}}
Wolfram Mathematicahttps://writings.stephenwolfram.com/2018/12/the-story-of-spikey/Topological Art{{center|Proprietary}}
HoudiniProcedural / Simulation-Based Art{{center|Proprietary}}
MATLABProcedural / Simulation-Based Art{{center|Proprietary}}
Shadertoy / GLSLProcedural{{Center|Web app}}
TouchDesignerProcedural / Simulation-Based Art{{center|Proprietary (free/non-commercial version available)}}
Unity (with math plugins)https://assetstore.unity.com/packages/tools/utilities/ultimate-math-library-228481https://assetstore.unity.com/packages/tools/gui/math-equation-writer-199520https://assetstore.unity.com/packages/tools/game-toolkits/mathplus-library-72197https://www.evilwizardstudios.com/smithy/https://assetstore.unity.com/packages/3d/environments/neurofractals-pack-124436Procedural / Simulation-Based Art{{center|Proprietary}}
LaTeX (PGF/TikZ, PGFPlots)https://github.com/pgf-tikz/pgfMathematical Typography / TeX-Based Art{{open source|LaTeX Project Public License}}
ManimMathematical animation{{open source|MIT}}
D3.jshttps://medium.com/creative-coding-space/d3-js-vs-p5-js-538d1976f65dData visualizations{{open source|BSD-3-Clause}}
[https://3d-xplormath.org/j/index.html 3D-XplorMath-J]Mathematical visualization{{open source|BSD-3-clause}}
MaximaMathematical visualization{{open source|GPL}}
SageMathMathematical visualization{{open source|GPLv3}}
SymPySymbolic arithmetic{{open source|BSD}}
Wolfram Mathematica & Wolfram LanguageMathematical visuals and others{{center|Proprietary commercial}}

Gallery

{{multiple image

| align = center

| total_width = 700

| image1 = Parametric surface illustration (trefoil knot).png

| caption1 = Trefoil knot, created with a parametric equation and ray traced in Python.

| image2 = Three Triangles - Mathematical Pattern.jpg

| caption2 = Generated programmatically using a Phyllotaxis spiral, it is also a

Fibonacci sequence.

| image3 = Hyperboloid ruled surface animation v1.gif

| caption3 = Hyperboloid model made with Mathematica - Wolfram Language

| image4 = Helicatenoid.gif

| caption4 = Helicatenoid made with Grapher

}}

See also

References