Math-To-Manim examples.instructions.md

Animation Examples Guidelines

Purpose

This directory contains 55+ working Manim animations demonstrating various mathematical, physical, and computational concepts. Each animation serves as both a working example and educational reference.

Creating New Animation Examples

File Organization

• Place animations in the appropriate category directory:
  • examples/physics/ - Physics concepts (quantum, gravity, nuclear, particle physics)
  • examples/mathematics/ - Math concepts (geometry, analysis, fractals, statistics)
  • examples/computer_science/ - CS concepts (ML, algorithms, spatial reasoning)
  • examples/cosmology/ - Cosmology and astrophysics
  • examples/finance/ - Financial mathematics
  • examples/misc/ - Experimental or uncategorized

Naming Conventions

• Use descriptive, lowercase names with underscores: schrodinger_equation.py, not scene1.py
• Name should clearly indicate the concept being visualized
• Scene class name should be descriptive and in PascalCase: SchrodingerEquationScene

Required Components

1. Module Docstring: Every animation file must start with a comprehensive docstring:

"""
Visualization of the Schrödinger equation in quantum mechanics.

Shows:
- Wave function evolution
- Probability density interpretation
- Energy eigenstates
- Potential well scenarios

Mathematical Concepts:
- Time-independent Schrödinger equation: Hψ = Eψ
- Time-dependent form: iℏ ∂ψ/∂t = Hψ
- Wave function normalization
- Expectation values

Generated using: Claude Sonnet 4.5 / DeepSeek R1 / etc.
"""

1. Import Organization:

from manim import *
import numpy as np
# Other standard library imports
# Then project-specific imports if needed

1. Scene Class with Docstring:

class SchrodingerEquationScene(Scene):
    """
    Main scene for Schrödinger equation visualization.
    
    Demonstrates wave function evolution in a potential well.
    """
    def construct(self):
        # Implementation