This repository contains code for computing images and animations of zeros of polynomials that were shown in my public talks:
- Ničle, TEDxUL, October 2014, see also the related blog post.
- Zeros, Sydney Mathematical Research Institute, August 13, 2024
The code works on MacOS, but should also run on Linux. It relies on the following software:
- Python 3
- XCode C compiler, although
gccought to work - ImageMagick
- ffmpeg
XCode is part of Apple's ecosystem. There are many ways to obtain Python 3, just visit the web site. You can get the rest with the Homebrew package manager:
brew install imagemagick ffmpeg
You will additionally need the following Python libraries:
They can be install with the Python pip3 package manager:
pip3 install pycairo pillow numpy
To compile the C code, you need these libraries:
They can be installed with Homebrew by running
brew install libtiff gsl
There are two programs:
zerosis a C program that computes zeros of polynomials with given coefficients and degrees, and generates grayscale TIFF, see the folderCalgebraic.pyis a Python program that computes zeros of polynommials with given complexity (sum of absolute values of coefficients) and degrees, and generates PNG images, see the folderalgebraic.