riemapp

riemapp is a fast, easy-to-use, minimal library for Python 3.7+ that aliases manim 0.16.0+ functions for visualising animated and intuitive complex mappings (transformations from the real plane to the complex plane) for various shapes and real-valued functions in two dimensions. It uses a minimum number of dependencies through FFmpeg and pangocairo on Linux.

Users and learners may use riemapp to:

1. Plot (user-defined)
   • Points
   • Lines
   • Triangles
   • Squares
   • Rectangles
   • Other regular polygons
   • Circles
   • Irregular polygons
   • …and so on
2. Create smooth, precise animations for plotted figures and map them on the Argand plane according to user-defined complex functions.
3. Save these animations and play them in the default video player available

Structure

• Right now, riemapp aliases the geometries provided by manim under riemapp.geometry. Users can either use these alias classes or directly use the MObjects provided by manim.
• riemapp programmatically generates manim animations, and the code for this is available under riemapp.core. All of the information added by a user is passed into a placeholder class which inherits manim.Scene. This class' object is then used to render the animation.

Installation

Install dependencies

FFmpeg

• Install FFmpeg through their download page or your system's package manager (apt, brew, ...) or clone Saransh-cpp/FFmpeg.
• Add the bin folder to system path.

pangocairo (Linux systems)

Install libpango1.0-dev if you are on a Linux system -

sudo apt-get update
sudo apt install libpango1.0-dev

Install riemapp

riemapp uses modern Python packaging and can be installed using pip -

python -m pip install riemapp

Usage example

In [1]: import riemapp as rp
Manim Community v0.16.0.post0

In [2]: import numpy as np

In [3]: square = rp.geometry.Square(2.)

In [4]: square
Out[4]: Square(side_length=2.0) (alias for manim.Square)

In [5]: cm = rp.ComplexMap(square, lambda z: np.e ** z)

In [6]: cm
Out[6]: ComplexMap(f=Square(side_length=2.0) (alias for manim.Square), transformation=<lambda>)

In [7]: cm.generate_animation(run_time=2.)
Out[7]: Animate(f=Square(side_length=2.0) (alias for manim.Square), transformation=<lambda>)

In [8]: cm.render(preview=False)

https://user-images.githubusercontent.com/74055102/193077326-2c21cb9e-eb24-473e-b69c-3376f7664ecd.mp4

Contributing

If you want to contribute to riemapp (thanks!), please have a look at our Contributing Guide.