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
Fyre 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 License
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
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 Project Public License
Manim Mathematical animation MIT
D3.js[20] Data visualizations 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

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.