Welcome to Maths Town! My name is Adam and I have a bit of a passion for mathematical visualizations. I operate the “Maths Town” YouTube channel which is the largest fractal artwork channel on YouTube. I also operate “The Mathemagicians’ Guild” channel which is dedicated to mathematical education in a way that heavily emphasizes visualization.
On this site you will find fractal and mathematical visualizations and information that I have put together. I hope to grow the website into a large database of unique mathematical visualizations and educational content.
To coincide with the Mandelbrot Set explainer videos published on “The Mathemagicians’ Guild” channel, I will be producing and releasing some educational articles. Learn more about the various fractal types here.
The Real Line of the Mandelbrot Set
The Mandelbrot Explained Video
After Effects Plugin
Many of my mathematical and fractal videos are made using custom plug-ins for Adobe After Effects. Here is where I will release any such plug-ins to the public. These will be available as open-source software.
Make fractal videos from Kalles Fraktaler output.
Fractal Video Database
Maths Town is currently the largest fractal art channel on YouTube. Here you will find a database of the Maths Town fractal videos with additional information included such as location parameters. Additionally, where possible I will try and include some additional background information on the video.
A deep Mandelbrot zoom all the way to a magnification of 4e2656
Explore the julia sets of the Mandelbulb fractal.
The popular 11 dimensions video was the first fractal video uploaded to the Maths Town channel. An array of beautiful colour and shape. This video finishes on the image known as 11 Dimensions
Can you see a teddy bear? This is a standard Mandelbrot Fractal but I have chosen a particular colour set. When the colours align in a certain way you may see a teddy bear!
Tau (τ) is a mathematical constant equal to 2π. Tau is the ratio of a circle’s circumference and its radius, approximately 6.28.
Complex Function Visualisations
A database of unique visualizations of complex functions. The images in this sections are made available under a Creative Commons Attribution 4.0 license.
Visualisations of a level 1 modular form with weight 16. Visualised on the Poincaré disk.
Visualisations of a level 1 modular form with weight 18. Visualised on the Poincaré disk.
Visualisations of a level 1 modular form with weight 20. Visualised on the Poincaré disk.
Visualisations of a level 1 modular form with weight 26. Visualised on the Poincaré disk.
Visualisations of a level 1 modular form with weight 12. Includes 3D plots. This modular form is often known as the Modular Discriminant and the coefficients of the q-series are the Ramanujan tau function.
Visualisations of a level 1 modular form with weight 22. Visualised on the Poincaré disk.