Summary

Equation-Driven Pots is a generative 3D design project for creating printable plant pots from mathematical equations.

Instead of sculpting forms manually, the project uses radius functions to define the surface. This makes it possible to generate twists, petals, waves, lobes, ribs, scales, and other sculptural forms while still keeping the result functional as a real pot.

The project now includes several design workflows:

• cylindrical forms defined by equations such as r(z, theta)
• spherical forms defined by equations such as r(theta, phi)
• a unified browser-based Equation Driven Pot Designer that combines form, structure, texture, multi-color patterning, and experimental field tools
• earlier browser tools for textured, multi-color, nonlinear, and sweep-based workflows
• Fusion 360 MathSweep Studio for reconstruction and CAD-oriented experimentation

This opens up a wide design space, from simple patterned vessels to more complex sculptural and textured pots with ribs, dimples, scales, waves, and mathematically driven surface effects.

Main project on GitHub: https://github.com/arkadiraf/Equation-Driven-Pots

Main unified browser tool: https://arkadiraf.github.io/Equation-Driven-Pots/

Legacy / development browser tools: https://arkadiraf.github.io/Equation-Driven-Pots-App/

If you want to explore the full toolset, customize equations, or generate your own variations, the GitHub project is the best place to start. It includes Python generators, GUI tools, browser-based designers, experimental workflows, and the prompt-based equation generation system.

One of the most useful aspects of the project is that it is not limited to the models shown here. The tools let you create entirely new pot designs by changing the equations, textures, pattern logic, modifiers, and distortion fields. That makes the repository more than a model collection — it is a design system for generating your own printable forms.

To keep the GitHub repository lightweight and focused on code, tools, and previews, example 3D models are hosted here on Thingiverse.

Equation-Driven Pots is intended both as a practical 3D-printing project and as a way to explore mathematics as a design tool.