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.
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