papal

A playground for mathematical visualization and graphics, featuring:

• Python/Matplotlib: Plotting and exploring mathematical surfaces and toy models in 3D.

Features

• 3D plotting scripts for:
  • Klein bottle
  • Möbius strip
  • Boy's surface
  • Enneper surface
  • Roman surface
  • Torus
  • Whitney umbrella
  • Schwarz P surface
  • Gyroid
  • Helicoid
  • Catenoid
  • Cross-cap
  • Dini’s surface
  • Scherk’s minimal surface

Setup

1. (Recommended) Create a virtual environment:

   python3 -m venv .venv
   source .venv/bin/activate

2. Install dependencies:

   pip install -r requirements.txt

3. Run any math toy script, e.g.:

   python klein_bottle.py
   python mobius_strip.py
   # ...etc

Project Structure

papal/
├── klein_bottle.py     # Python Klein bottle plot
├── mobius_strip.py     # Python Möbius strip plot
├── boys_surface.py     # Boy's surface
├── enneper_surface.py  # Enneper surface
├── roman_surface.py    # Roman surface
├── torus.py            # Torus
├── whitney_umbrella.py # Whitney umbrella
├── schwarz_p_surface.py# Schwarz P surface
├── gyroid.py           # Gyroid
├── helicoid.py         # Helicoid
├── catenoid.py         # Catenoid
├── cross_cap.py        # Cross-cap
├── dinis_surface.py    # Dini’s surface
├── scherk_minimal.py   # Scherk’s minimal surface
├── requirements.txt
├── pyproject.toml
├── README.md
└── .gitignore

Notes

• For matplotlib 3D plots, you may need python3-tk or PyQt5 for interactive windows.
• All scripts are self-contained and can be run independently.
• Contributions and new math toys are welcome!