Sasho Kalajdzievski - Math and Art: An Introduction to Visual Mathematics

Second edition published 2022

by CRC Press

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and by CRC Press

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2022 Taylor & Francis Group, LLC

First edition published by Chapman & Hall/CRC Press 2008

CRC Press is an imprint of Taylor & Francis Group, LLC

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Library of Congress Cataloging-in-Publication Data

Names: Kalajdzievski, Sasho, author.

Title: Math and art : an introduction to visual mathematics / Sasho Kalajdzievski, University of Manitoba Winneipeg, Canada.

Description: Second edition. | Boca Raton : Chapman & Hall, CRC Press, 2021. | Includes bibliographical references and index.

Identifiers: LCCN 2020041802 (print) | LCCN 2020041803 (ebook) | ISBN 9780367076139 (hardback) | ISBN 9780367076115 (paperback) | ISBN 9780429021602 (ebook)

Subjects: LCSH: Geometry. | Design. | Geometry in art.

Classification: LCC QA445 .K32 2021 (print) | LCC QA445 (ebook) | DDC 510--dc23

LC record available at https://lccn.loc.gov/2020041802

LC ebook record available at https://lccn.loc.gov/2020041803

ISBN: 9780367076139 (hbk)

ISBN: 9780367076115 (pbk)

ISBN: 9780429021602 (ebk)

DOI: 10.1201/9780429021602

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To Nina, Darja, Damjan, Timjan, Mia and Ada; with love.

, , , , ; .

This is the second edition of this book. Comparing with the first edition (254 pages, year 2008), we have expanded both in scope (398 pages with more topics, sections, subsections, exercises, projects), and in depth (more solutions, justifications/proofs, and constructions).

There are now 280 exercises (190 in the first edition). More importantly, about 140 of them now have full solutions included. This new feature provides valuable guidance for the students as they work independently.

The number of figures was also substantially increased: from about 556 in the first edition to about 740. I find it particularly pleasing that all of the figures are now given in their full color. With that we not only visually enhance the artwork presented in this book, but also make it easier to explain the chronology of our constructions.

Another new feature in this edition are the projects that follow almost every section. They are suitable for more project-based (classes of) students, offering hands-on experience on the topics related to the corresponding sections.

The primary goal of this book is to indicate the potential of mathematics for generating (visually) appealing objects, providing themes for artistic explorations. The second, equally important goal is to reveal some of the visual beauty of mathematics. The prominence of visual beauty of mathematics as a criterion for choosing the topics we include here defines and justifies the word visual in the title of this book.

Unequivocally, this is a book about mathematics, not about art. The artwork that we present here is mostly to illustrate the potential of mathematics for artistic inspiration.