Moving Planets Animation Moving Animation Outer Space

Moving Planets Animation Moving Animation Outer Space

How to Create Mathematical Animations like 3Blue1Brown Using Python

Leverage your Python Skills to Create Beautiful Mathematical Animations

Khuyen Tran

Motivation

Have you lot e'er struggled with the math concepts of a machine learning algorithm and used 3Blue1Brown every bit a learning resource? 3Blue1Brown is a famous math YouTube channel created by Grant Sanderson. Many people beloved 3Blue1Brown because of Grant's great explanation and the cool animations like below.

Video by 3Blue1Brown

Wouldn't it be cool if you tin can learn how he created these animations and so yous can create like animations to explain some information science concepts to your teammates, managers, or followers?

Luckily, Grant puts tog east ther a Python package called manim that enables you to create mathematical animation or pictures using Python. In this article, y'all will learn how to create mathematical animations like below using manim.

GIF by Writer

What is Manim?

Manim is an engine for precise animations, designed for creating explanatory math videos. Notation that there are two versions of manim. Ane is created by Grant and one is forked and maintained past the Manim Community.

Since the version that is maintained by the Manim Community is updated more frequently and better tested than Grant's version, nosotros will use the version maintained by the Manim Community.

To install the dependencies for the package, visit the Documentation. After the dependencies are installed, type:

          pip install manim        

Go Started

Create a Blue Square that Grows from the Center

We will create a blue foursquare that grows from the centre. The code for creating an animation is within the construct method of a class that derives from Scene .

Salvage the script above as start.py . Now run the command below to generate a video for the script.

          $ manim -p -ql start.py PointMovingOnShapes        

And a video chosen PointMovingOnShapes.mp4 will be saved in your local directory. Y'all should see something like below!

GIF past Author

Explanations of the options above:

  • -p : play the video once it is finished beingness generated
  • -ql : generate a video with low quality

To generate a video with loftier quality, utilize -qh instead.

To create a GIF instead of a video, add -i to the command similar below:

          $ manim -p -ql -i start.py PointMovingOnShapes        

Turn a Square into a Circle

Creating a square alone is non that fun. Let'south plough this square into a circumvolve.

GIF by Author

Code to create the animation above:

Observe a comprehensive list of shapes hither.

Customize Manim

If you lot don't desire the background to be black, you lot can turn it into gray like below:

GIF by Author

by using config.background_color

Notice other means to customize manim hither.

What else can I do with Manim?

Write Mathematical Equations with a Moving Frame

You lot can as well create an blitheness that writes mathematical equations with a moving frame like below:

GIF by Author

or write steps past steps on how to solve an equation:

GIF by Author

Moving and Zooming Photographic camera

Y'all can likewise suit the camera and select which part of the equations to zoom in using a form inherited from MovingCameraScene object.

GIF past Author

Graph

Y'all tin also apply manim to create an annotated graph similar beneath:

GIF past Author

If you want to get the paradigm of the last frame of a scene, add together -south to the control:

          manim -p -qh -s more.py Graph        

You can also animate the process of setting up the axes by settingbreathing=True

          $ manim -p -qh more than.py Graph        

GIF by Author

Motility Objects Together

Y'all tin can besides employ VGroup to group different Manim's objects and motility them together similar below:

GIF by Author

Trace Path

You can too useTracedPath to create a trace of a moving object like below:

GIF by Author

Epitomize

Congratulations! Y'all have just learned how to utilize manim and what it can do. To recap, there are three kinds of objects that manim provides:

  • Mobjects: Objects that can be displayed on the screen, such equally Circle, Square, Matrix, Angle, etc
  • Scenes: Canvas for animations such every bit Scene, MovingCameraScene, etc
  • Animations: Animations applied to Mobjects such as Write, Create, GrowFromCenter, Transform, etc

There is so much more manim tin do that I cannot cover here. The all-time way to learn is through doing, so I encourage you lot to endeavor the examples in this article and check manim's tutorial.

The source code for this article can be found hither:


DOWNLOAD HERE


Moving Planets Animation Moving Animation Outer Space

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