## Welcome

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.

## Fractal Articles

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 Real Line of the Mandelbrot Set

### The Mandelbrot Explained Video

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.

### KFMovieMaker

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.

### Deepish Video

A deep Mandelbrot zoom all the way to a magnification of 4e2656

### Julia Sets of the Mandelbulb

Explore the julia sets of the Mandelbulb fractal.

### 11 Dimensions Video

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

### Hidden Teddy Bear Video

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!

### The Power of Tau Video

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.

### Modular Form Level 1, Weight 16 (1.16.a.a)

Visualisations of a level 1 modular form with weight 16. Visualised on the Poincaré disk.

### Modular Form Level 1, Weight 18 (1.18.a.a)

Visualisations of a level 1 modular form with weight 18. Visualised on the Poincaré disk.

### Modular Form Level 1, Weight 20 (1.20.a.a)

Visualisations of a level 1 modular form with weight 20. Visualised on the Poincaré disk.

### Modular Form Level 1, Weight 26 (1.26.a.a)

Visualisations of a level 1 modular form with weight 26. Visualised on the Poincaré disk.

### Modular Form Level 1, Weight 12 (1.12.a.a)

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.

### Modular Form Level 1, Weight 22 (1.22.a.a)

Visualisations of a level 1 modular form with weight 22. Visualised on the Poincaré disk.