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).