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, andsin(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.
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.