About
Dive into the world of bizarre figures - fractals. Seemingly chaotic but described in a surprisingly orderly way. However, to discover this order, one must know what to look at.
Our journey through the land of fractals consists of three parts. Each part has its guide, an outstanding Polish mathematician whose results are related to fractals.
The first part is mainly focused on the construction of three simple fractals. Here we will organize some key concepts necessary to understand the succeeding chapters. A brilliant organizer — Wacław Sierpiński – is the guide.
The second part will allow us to delve into the mathematical foundations of fractals. There will be definitions and theorems that math students usually encounter in their first year of study. Who could take better care of this part than the brilliant mathematician Stefan Banach?
The third part is led by Hugo Steinhaus, who was very interested in applications. So he is a dream guide to interesting applications of fractals.
Fully reproducible code snippets
Immerse yourself in a story based on the real development of fractals. We prioritize reproducibility, offering complete transparency in our methodologies and providing step-by-step instructions that empower readers to replicate every analysis, plot, and outcome.
The data, R, Julia, and Python scripts are available at https://chaosgame.drwhy.ai/.
How to get this book?
Currently, a printed version is not available for sale.
But, you can get an online version for free. The online version is available at https://chaosgame.drwhy.ai/.
What to do with this book?
You can use this book as self-teaching material, it provides a comprehensive guide to understanding the basics of iterated function systems (aka Fractals), offering theoretical insights alongside practical code examples in Python, Julia and R. Moreover, it stands as an invaluable companion for workshops and training sessions focused on fractals. Educators and workshop facilitators can utilize its structured approach and reproducible analyses in hands-on workshops.
Language versions
This book was translated into the following languages:
- Polish translation ,,Gra w Chaos’’ by Przemysław Biecek available at https://chaos.drwhy.ai/
- English translation ,,Chaos Game’’ by Mateusz Krzyzinski and Barlomiej Sobieski available at https://chaosgame.drwhy.ai/
- Turkish translation ,,Kaos Oyunu’’ by Mustafa Çavuş and Özlem Kurt Çavuş available at available soon
