| 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  |