List of mathematical art software

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List of mathematical art software
Software Category License
Apophysis[1] Fractal art GPL
Chaotica[2] Fractal art
Proprietary
Electric Sheep Fractal art GPL 2.0-or-later
FractalNow[3] Fractal art GPL
Fractint Fractal art Public domain
Fragmentarium, FragM[4] Fractal art GPL 3.0
FuzzyGraph Equation & fractal art
Free and open-source software
Fyre Fractal art GPL 3.0
Iterated Dynamics Fractal art GPL 3.0
MilkDrop Fractal art BSD
openPlaG Fractal art GPL 2.0
Ultra Fractal Fractal art
Proprietary
XaoS Fractal art GPL
R,[5] rayrender, R Mandelbrot sets, aRtsy, mathart Fractal, Mandelbrot set, parametric plots GPL 2.0-or-later
Sterling Fractal generation GPL 3.0
Bryce Fractal landscape
Proprietary
Picogen Fractal landscape GPL 3.0
Terragen Fractal landscape
Proprietary
GeoGebra Parametric & implicit equation art GPL
Desmos[6][7] Parametric & implicit equation art
Proprietary freeware
Grapher Parametric & implicit equation art
Proprietary
Winplot Parametric & implicit equation art
Proprietary freeware
Cinder Generative art, algorithmic visuals, patterns BSD
Processing[8] Algorithmic & generative art GPL
OpenFrameworks Generative art MIT
Grasshopper 3D[9] Algorithmic design, procedural modeling
Proprietary
P5.js[10] Algorithmic & generative art MIT
Python Turtle graphics[11] Algorithmic & generative art PSF
matplotlib Mathematical plotting PSF
gnuplot 2D and 3D plotting Various
Inkscape spirograph, WriteTeX, or TexText Geometric & tessellation art GPL
Blender Python plugin scripts[12] Topological art GPL
Wolfram Mathematica[13] Topological Art
Proprietary
Houdini Procedural & simulation-based art
Proprietary
MATLAB Procedural, simulation-based art
Proprietary
Shadertoy, GLSL Procedural
Web app
TouchDesigner Procedural, simulation-based art
Proprietary (free, non-commercial version available)
Unity (with math plugins)[14][15][16][17][18] Procedural, simulation-based art
Proprietary
LaTeX (PGF/TikZ, PGFPlots)[19] Mathematical typography, TeX-based art LaTeX
Manim Mathematical animation MIT
D3.js[20] Data and information visualization BSD 3-clause
3D-XplorMath-J Mathematical visualization BSD 3-clause
Maxima Mathematical visualization GPL
SageMath Mathematical visualization GPLv3
SymPy Symbolic arithmetic BSD
Wolfram Mathematica & Wolfram Language Mathematical visuals and others
Proprietary commercial
Logo Educational turtle graphics
freeware
Trefoil knot, created with a parametric equation and ray traced in Python.
Hyperboloid animation made with Wolfram Mathematica
Helicatenoid made with Grapher

See also

References

  1. ↑ "Fractal Art: An Introduction to Apophysis | Envato Tuts+". 30 September 2014. https://design.tutsplus.com/articles/fractal-art-an-introduction-to-apophysis--cms-22248. 
  2. ↑ "Chaotica Fractal Art Beginner's Glossary by Eichkaterkatze on DeviantArt". 24 November 2018. https://www.deviantart.com/eichkaterkatze/art/Chaotica-Fractal-Art-Beginner-s-Glossary-773949044. 
  3. ↑ https://fractalnow.sourceforge.io/
  4. ↑ "Fragmentarium". https://hatchstudios.com/work/fragmentarium/. 
  5. ↑ "Mathematical art in R". https://blog.revolutionanalytics.com/2018/04/mathematical-art-in-r-.html. 
  6. ↑ "Mathematical Art Work using Polar Function on Cartesian plane run by Desmos Calculator software". 24 July 2024. https://www.youtube.com/watch?v=5O-xGZhnjsA. 
  7. ↑ "Desmos in the Math Classroom". 19 July 2019. https://achievethecore.org/peersandpedagogy/desmos-math-classroom/. 
  8. ↑ "The Art of Programming Math: Code Art Principles Part 2". https://www.dirtalleydesign.com/blogs/news/programming-numbers-and-art-making-generative-designs. 
  9. ↑ "10 Grasshopper plugins trending in the AEC industry". 6 September 2022. https://parametric-architecture.com/10-grasshopper-plugins-trending-in-the-aec-industry/. 
  10. ↑ "Learn | p5.js". https://archive.p5js.org/learn/getting-started-in-webgl-coords-and-transform.html. 
  11. ↑ "Using Python to Make Generative Art with Math". 9 January 2019. https://simpleprogrammer.com/python-generative-art-math/. 
  12. ↑ Gonzalez-Lugo, Octavio (6 November 2020). "Generative Line Art with Blender". Medium. https://medium.com/swlh/generative-line-art-with-blender-2340a9fc5e63. 
  13. ↑ Wolfram, Stephen (28 December 2018). "The Story of Spikey". Stephen Wolfram Writings. https://writings.stephenwolfram.com/2018/12/the-story-of-spikey/. 
  14. ↑ "Ultimate Math Library | Utilities Tools | Unity Asset Store". https://assetstore.unity.com/packages/tools/utilities/ultimate-math-library-228481. 
  15. ↑ https://assetstore.unity.com/packages/tools/gui/math-equation-writer-199520
  16. ↑ "MathPlus Library | Game Toolkits | Unity Asset Store". https://assetstore.unity.com/packages/tools/game-toolkits/mathplus-library-72197. 
  17. ↑ "Smithy Procedural Generation Framework". https://www.evilwizardstudios.com/smithy/. 
  18. ↑ "NeuroFractals Pack | 3D Environments | Unity Asset Store". https://assetstore.unity.com/packages/3d/environments/neurofractals-pack-124436. 
  19. ↑ "PGF-tikz/PGF". https://github.com/pgf-tikz/pgf. 
  20. ↑ "Generating Art – d3.js vs. P5.js". 26 January 2022. https://medium.com/creative-coding-space/d3-js-vs-p5-js-538d1976f65d. 



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