Playing with Infinity: Turtles, Patterns, and Pictures

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.

Hans Zantema was born in 1956 in The Netherlands. He studied mathematics and received his PhD in pure mathematics in 1983. After a few years in industry he returned to university, in computer science. Apart from his position as an associate professor in computer science at Eindhoven University of Technology, from 2007 until his retirement in 2022 he was part time full professor at Radboud University in Nijmegen. His professional interest is mainly in mathematical reasoning, in particular applied to computation and automated reasoning. His hobbies include solving and designing logical puzzles.