ABSTRACT

This is a book about infinity — specifically the infinity of numbers, and how one kind of infinity is greater than all the rest. Along the way the author will demonstrate how infinity can be made to create beautiful ‘art’, and how this process can help us to understand the fundamental nature of numbers. This book will provide a fascinating read for anyone interested in number theory, infinity, math art, and/or generative art, and could be used a valuable supplement to any course on these topics.

Features

  • Beautiful examples of generative art.
  • Accessible to anyone with a reasonable high school level of mathematics.
  • Full of challenges and puzzles to engage readers.

chapter 1|14 pages

What is this book about?

chapter 2|17 pages

Numbers of the simplest kind

chapter 3|13 pages

More complicated numbers

chapter 4|13 pages

Flavors of infinity

chapter 5|14 pages

Infinite sequences

chapter 6|19 pages

Turtle figures

chapter 7|13 pages

Programming

chapter 8|13 pages

More complicated sequences

chapter 9|16 pages

The Thue-Morse sequence

chapter 10|17 pages

More finite turtle figures

chapter 11|23 pages

Fractal turtle figures

chapter 12|17 pages

Variations on Koch

chapter 13|19 pages

Simple morphic sequences

chapter 14|14 pages

Looking back