1.2 KiB
1.2 KiB
Collatz Conjecture (Python)
An interactive visualizer for the Collatz Conjecture built with Python, tkinter, and Matplotlib — styled with the Catppuccin Mocha color palette.
What is the Collatz Conjecture?
Given any positive integer x, apply the following rules repeatedly:
- If x is even →
x = x / 2 - If x is odd →
x = 3x + 1
The conjecture states that no matter which starting value you choose, the sequence will always eventually reach 1. Simple to state, yet unproven for over 80 years.
Features
- Plot the Collatz sequence for any integer x ≥ 2
- Four chart types: Line, Scatter, Bar, Step
- Hover tooltip explaining the Collatz equation
- View the full sequence values in a scrollable dialog
- Clean graph to start fresh
- Navigation toolbar for zoom, pan, and export
- Dark theme (Catppuccin Mocha)
Requirements
python >= 3.10
matplotlib
tkinter (usually bundled with Python)
Install dependencies:
pip install matplotlib
Usage
python collatz.py
Enter a starting value for x, choose a graph type, and click Plot (or press Enter).