MF-Algebra 0.5.1

Manim plugin which aims to make it much easier to meaningfully transform algebra expressions.

Introduction

This is a ManimGL / ManimCE plugin (still under construction) for the automated animation of algebra. It consists of a few key components:

• Expression: These objects contain a tree structure representing algebra expressions/equations, such as 3x^2, 5+9, and sin(y)=14e^x, as well as a method for producing a corresponding Tex/MathTex mobject.
• Action: These objects contain methods to convert between expressions/equations, such as adding something to both sides, or substituting a variable for a value. This conversion can be static or animated.
• Timeline: These objects contain an alternating sequence of expressions and actions, and methods for automatically determining these sequences, and animating them.

Expression

There are many subclasses of Expression:

Expression
├── Variable
├── Number
│   ├── Integer
│   └── Real
├── Combiner
│   ├── Operation
│   │   ├── Add
│   │   ├── Sub
│   │   ├── Mul
│   │   ├── Div
│   │   └── Pow
│   ├── Relation
│   │   ├── Equation
│   │   ├── LessThan
│   │   ├── ...
│   └── Sequence
├── Function
└── Negative

Every Expression contains an attribute called children, which is a list. Sometimes this list is empty, such as for variables and numbers. But often this list contains other Expressions, such as for operations and functions.

License Summary

This project is free for individuals and educators who create publicly available educational content.
✅ Examples: YouTube videos, TikToks, livestreams, tutorials, classroom materials (even if ad-monetized but free to watch).

🚫 Commercial use requires a paid license.
Examples: websites or apps where users interact with the software (e.g. “solve any equation” sites), paid courses, subscription platforms, paywalled content, textbooks, or e-books.

🙏 If you’re a free user, please consider supporting development via GitHub Sponsors or Buy Me A Coffee.
💼 For commercial licensing inquiries, contact: [[e-mail]].

See LICENSE for the full terms.