Illustrating Mathematics

I’m excited to be part of a wonderful book, edited by Diana Davis, and published by the American Mathematical Society! In this book you will find contributions from many of the great people who attended the Illustrating Mathematics program at the Institute for Computational and Experimental Research in Mathematics (ICERM) during the fall of 2019. If you are reading this, I miss you all!

Here is some general information about the book:

This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations.

Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify.

Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.
Illustrating Mathematics, American Mathematical Society (2020)

My contributions

I have two contributions for this book. The first is in the category of 3D printing.

3D Printed Card Shuffling and Permutations, Illustrating Mathematics, AMS (2020)
3D Printed Card Shuffling and Permutations, Illustrating Mathematics, AMS (2020)

The second is in this category of “Multiple ways to illustrate the same thing.”

Perspectives on the Hilbert Curve, Illustrating Mathematics, AMS (2020)
Perspectives on the Hilbert Curve, Illustrating Mathematics, AMS (2020)

Book info

titleIllustrating Mathematics
authorDiana Davis
publisherAmerican Mathematical Society
isbn978-1-4704-6122-5
year2020
urlAmerican Mathematical Society

Cover

Cover, Illustrating Mathematics, AMS (2020)
Cover, Illustrating Mathematics, AMS (2020)