Awesome Math Animations

Published:

Overview

A collection of mathematical animations created using Manim (Mathematical Animation Engine) to explain complex mathematical concepts through visual storytelling.

Project Goals

  • Make abstract mathematical concepts more intuitive through visualization
  • Create educational content for students learning advanced mathematics
  • Demonstrate the power of visual explanations in mathematical education
  • Build a library of reusable mathematical visualizations

Technical Stack

  • Manim: Mathematical animation engine (developed by 3Blue1Brown)
  • Python: Primary programming language
  • LaTeX: Mathematical typesetting integration

Current Content

Chess Mathematics

Detailed animations explaining mathematical concepts in chess:

  • Game theory principles
  • Probabilistic analysis
  • Optimal strategy computation
  • Position evaluation algorithms

Animation Categories (Planned)

  1. Linear Algebra
    • Matrix transformations
    • Eigenvalues and eigenvectors
    • Vector spaces
  2. Calculus
    • Derivatives and limits
    • Integration techniques
    • Multivariable calculus
  3. Differential Equations
    • Phase portraits
    • Solution curves
    • Stability analysis
  4. Probability & Statistics
    • Probability distributions
    • Central limit theorem
    • Statistical inference
  5. Abstract Algebra
    • Group theory
    • Ring and field properties
    • Symmetry concepts

Development Approach

  • Focus on intuition before formalism
  • Build from simple to complex examples
  • Emphasize visual patterns and relationships
  • Include interactive elements where possible

Inspiration

Inspired by educational content creators like:

  • 3Blue1Brown (Grant Sanderson)
  • Mathologer
  • Numberphile

License

MIT License - Open for educational use