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  • © 2019

Spirals and Vortices

In Culture, Nature, and Science

  • The ultimate book on spirals - from Celtic art to medical applications
  • Accessible non-specialists, but also covering the latest scientific discoveries
  • Contributes to the eternal theme of the relationship between science and art

Part of the book series: The Frontiers Collection (FRONTCOLL)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xvi
  2. Spirals and Vortices in Our Universe

    1. Front Matter

      Pages 1-1
    2. Cultural History

      • Kinko Tsuji, Stefan C. Müller
      Pages 3-29
    3. Appearance in Nature

      • Stefan C. Müller, Kinko Tsuji
      Pages 31-66
    4. The Arts and Beyond

      • Kinko Tsuji, Stefan C. Müller
      Pages 67-87
  3. Spirals and Vortices in Mathematics

    1. Front Matter

      Pages 89-89
    2. Spirals, Their Types and Peculiarities

      • Andrey Polezhaev
      Pages 91-112
  4. Spirals and Vortices in Chemistry

    1. Front Matter

      Pages 127-127
    2. Liesegang Rings, Spirals and Helices

      • Sabine Dietrich
      Pages 129-140
    3. Generation of Spirals in Excitable Media

      • Stefan C. Müller
      Pages 141-155
    4. Chemical Oscillations and Spiral Waves

      • Patricia Pfeiffer
      Pages 157-173
  5. Spirals and Vortices in Biology, Physiology, and Medical Science

    1. Front Matter

      Pages 191-191
    2. Spiral Waves in the Heart

      • Alexander V. Panfilov
      Pages 209-215
    3. Patterns and Humans

      • Niklas Manz, Flavio H. Fenton
      Pages 217-224
    4. Yet More Spirals

      • Thomas Mair, Markus A. Dahlem, Stefan C. Müller
      Pages 225-235
  6. Concepts for Understanding the Creation of Spirals and Vortices

    1. Front Matter

      Pages 237-237

About this book

This richly illustrated book explores the fascinating and ubiquitous occurrence of spirals and vortices in human culture and in nature. Spiral forms have been used as elements in the arts for thousands of years, whereas their role in nature and science – from DNA and sea shells to galaxies – is still a topic of investigation in numerous fields. Following an introduction to the cultural history of spiral forms, the book presents contributions from leading experts, who describe the origins, mechanisms and dynamics of spirals and vortices in their special fields. As a whole the book provides a valuable source of information, while also taking the reader on an aesthetic and scientific journey through the world of spiral forms.

Editors and Affiliations

  • Shimadzu Europa GmbH, Duisburg, Germany

    Kinko Tsuji

  • Institute of Physics, Otto von Guericke University Magdeburg, Magdeburg, Germany

    Stefan C. Müller

About the editors

Stefan C. Müller is an emeritus professor of physics at the University of Magdeburg, Germany. After obtaining his doctoral degree at the University of Göttingen in 1978, he spent 3 years as postdoctoral researcher in the USA, first at MIT and then at Stanford University in California. He was subsequently a researcher at the Max-Planck-Institute in Dortmund until 1994, when he transferred his research to Magdeburg.

Kinko Tsuji is a physical chemist. She obtained her doctoral degree at the University of Tokyo in 1976. As a researcher she worked at the Weizmann Institute of Science in Israel and at the Max-Planck-Institutes in Munich and in Dortmund. Since 1981 she has worked at the company Shimadzu Europa GmbH, developing applications of ultra high-speed cameras. Furthermore, she was active in the “Japan Business Council in Europe” in Brussels  and served as a chairperson of the planning committee. 

Bibliographic Information

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access