Manim
Manim is a Python-based computational geometry framework designed for programmatic video production. It functions as a mathematical animation engine, allowing users to generate high-fidelity visual content by scripting scene definitions rather than using traditional timeline-based editing software. The library is built to translate code-based instructions into precise, frame-accurate animations, making it a tool for explaining complex mathematical functions, geometric proofs, and abstract theories.
The engine distinguishes itself through a declarative scene graph that organizes visual elements into a hierarchical structure, where transformations and properties propagate from parent containers to nested objects. It utilizes an interpolation-based animation system to calculate smooth transitions between keyframes and a declarative updater system that executes callback functions on every frame to modify object properties dynamically. This approach allows for sophisticated dynamic geometry modeling, where models respond to mathematical inputs and constraints in real time.
The framework includes a vector-based geometry pipeline that processes mathematical primitives into resolution-independent shapes before rasterizing them into final output. It also supports three-dimensional development through camera-projection transformations, which map 3D coordinate spaces into 2D viewports using perspective or orthographic matrices. These capabilities enable the creation of data-driven visual aids for technical presentations and scientific communication.
Features
- Computational Geometry Frameworks - A set of specialized tools for rendering coordinate systems, algebraic functions, and 3D surfaces with high mathematical fidelity and visual clarity.
- Mathematical Visualization Engines - Creating precise, programmatic animations to explain complex mathematical functions, geometric proofs, and abstract theories for educational content.
- Interpolation Animation Engines - Calculates intermediate states between keyframes using mathematical functions to generate smooth transitions across a sequence of rendered frames.
- LaTeX-based Animation Components - ##### TexTransformExample[¶](#textransformexample) class TexTransformExample(Scene): def construct(self): to\_isolate \= \["B", "C", "=", "(", ")"\] lines \= VGroup( \# Passing in muliple arguments to Tex will result \#
- Declarative Scene Graphs - A hierarchical structure where visual objects are defined, composed, and manipulated through state-driven updates and time-based interpolation sequences.
- Scene Graphs - Organizes visual elements into a tree structure where transformations and properties propagate from parent containers to nested child objects.
- Programmatic Video Production - Generating high-quality, frame-accurate video assets through code-based scripting rather than traditional manual timeline-based video editing software.
- Rasterization Engines - Renders individual scene states into image buffers sequentially to produce high-fidelity video output from programmatic geometric definitions.
- Scene Animation Scripts - ##### GraphExample[¶](#graphexample) class GraphExample(Scene): def construct(self): axes \= Axes((\-3, 10), (\-1, 8)) axes.add\_coordinate\_labels() self.play(Write(axes, lag\_ratio\=0.01, run\_time\=1)) \# Axes.get\_gr
- Mathematical Animation Engines - A programmatic environment for generating precise, high-quality mathematical visualizations through scriptable scene definitions and complex geometric transformations.
- Declarative Update Systems - Registers callback functions that execute on every frame to dynamically modify object properties based on time or external state.
- 3D Surface Visualizations - ##### SurfaceExample[¶](#surfaceexample) class SurfaceExample(Scene): CONFIG \= { "camera\_class": ThreeDCamera, } def construct(self): surface\_text \= Text("For 3d scenes, try using surfaces") surface\_text.fix\_in\_fr
- Animation Updaters - ##### UpdatersExample[¶](#updatersexample) class UpdatersExample(Scene): def construct(self): square \= Square() square.set\_fill(BLUE\_E, 1) \# On all all frames, the constructor Brace(square, UP) will \# be called, and
- Interactive Animation Scenes - ##### InteractiveDevelopment[¶](#interactivedevelopment) from manimlib import \* class InteractiveDevelopment(Scene): def construct(self): circle \= Circle() circle.set\_fill(BLUE, opacity\=0.5) circle.set\_stroke(BLUE\_
- Camera Projection Systems - Maps three-dimensional coordinate spaces into two-dimensional viewports by applying perspective or orthographic projection matrices to scene objects.
- Animation Engines - A collection of primitives and rendering tools that translate code-based instructions into frame-by-frame vector animations for educational content.
- Vector Geometry Pipelines - Processes mathematical primitives and paths into resolution-independent shapes before rasterizing them into the final output format.
- Dynamic Geometry Models - Constructing interactive or animated geometric models that respond to mathematical inputs and constraints for research or instructional purposes.
- Technical Presentation Design - Developing dynamic, data-driven visual aids that clearly communicate technical processes, algorithms, or scientific phenomena to a professional audience.
- Animation Methods - ##### AnimatingMethods[¶](#animatingmethods) class AnimatingMethods(Scene): def construct(self): grid \= OldTex(r"\\pi").get\_grid(10, 10, height\=4) self.add(grid) \# You can animate the application of mobject methods w
- Coordinate Systems - ##### CoordinateSystemExample[¶](#coordinatesystemexample) class CoordinateSystemExample(Scene): def construct(self): axes \= Axes( \# x-axis ranges from -1 to 10, with a default step size of 1 x\_range\=(\-1, 10), \# y-