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-22248 | Fractal art | {{open source|GPL}} |
Chaoticahttps://www.deviantart.com/eichkaterkatze/art/Chaotica-Fractal-Art-Beginner-s-Glossary-773949044 | Fractal art | {{center|Proprietary}} |
Electric Sheep | Fractal art | {{open source|GPL-2.0-or-later}} |
Fractint | Fractal 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}} |
Fyre | Fractal art | {{open source|GPL-3.0}} |
Mandelbulb | Fractal art | {{center|Proprietary freeware}} |
MilkDrop | Fractal art | {{open source|BSD}} |
openPlaG | Fractal art | {{open source|GPL-2.0}} |
Ultra Fractal | Fractal art | {{center|Proprietary}} |
XaoS | Fractal 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}} |
Sterling | Fractal generation | {{open source|GPL-3.0}} |
Bryce | Fractal landscape | {{center|Proprietary}} |
Picogen | Fractal landscape | {{open source|GPL-3.0}} |
Terragen | Fractal landscape | {{center|Proprietary}} |
GeoGebra | Parametric & 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}} |
Grapher | Parametric & Implicit Equation Art | {{center|Proprietary}} |
Winplot | Parametric & Implicit Equation Art | {{center|Proprietary freeware}} |
Cinder | Generative art, algorithmic visuals, patterns | {{open source|BSD}} |
Processinghttps://www.dirtalleydesign.com/blogs/news/programming-numbers-and-art-making-generative-designs | Algorithmic / Generative Art | {{open source|GPL}} |
OpenFrameworks | Generative 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.html | Algorithmic / Generative Art | {{open source|MIT}} |
Python Turtle graphicshttps://simpleprogrammer.com/python-generative-art-math/ | Algorithmic / Generative Art | {{open source|PSF License}} |
matplotlib | Mathematical plotting | {{open source|PSF}} |
gnuplot | 2D and 3D plotting | {{open source|Various}} |
Inkscape spirograph, WriteTeX, or TexText | Geometric & Tessellation Art | {{open source|GPL}} |
Blender Python plugin scriptshttps://medium.com/swlh/generative-line-art-with-blender-2340a9fc5e63 | Topological Art | {{open source|GPL}} |
Wolfram Mathematicahttps://writings.stephenwolfram.com/2018/12/the-story-of-spikey/ | Topological Art | {{center|Proprietary}} |
Houdini | Procedural / Simulation-Based Art | {{center|Proprietary}} |
MATLAB | Procedural / Simulation-Based Art | {{center|Proprietary}} |
Shadertoy / GLSL | Procedural | {{Center|Web app}} |
TouchDesigner | Procedural / 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-124436 | Procedural / Simulation-Based Art | {{center|Proprietary}} |
LaTeX (PGF/TikZ, PGFPlots)https://github.com/pgf-tikz/pgf | Mathematical Typography / TeX-Based Art | {{open source|LaTeX Project Public License}} |
Manim | Mathematical animation | {{open source|MIT}} |
D3.jshttps://medium.com/creative-coding-space/d3-js-vs-p5-js-538d1976f65d | Data visualizations | {{open source|BSD-3-Clause}} |
[https://3d-xplormath.org/j/index.html 3D-XplorMath-J] | Mathematical visualization | {{open source|BSD-3-clause}} |
Maxima | Mathematical visualization | {{open source|GPL}} |
SageMath | Mathematical visualization | {{open source|GPLv3}} |
SymPy | Symbolic arithmetic | {{open source|BSD}} |
Wolfram Mathematica & Wolfram Language | Mathematical 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
| 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
{{Portal|Mathematics|Visual arts}}
- ASCII art
- Computer-based mathematics education
- Computer representation of surfaces
- For loop
- Fractal-generating software
- Julia set
- Lambert W function
- Lens space
- List of interactive geometry software
- List of mathematical artists
- Mathethon - computational mathematics competition
- Mathlete
- Parametric surface
- Procedural modeling suites
- Ray tracing
- Tesseract
- 3Blue1Brown - math Youtube channel
References
{{reflist}}
- http://xahlee.info/math/algorithmic_math_art.html