Spirals and Vortices

In Culture, Nature, and Science

  • Kinko Tsuji
  • Stefan C. Müller

Part of the The Frontiers Collection book series (FRONTCOLL)

Table of contents

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

    1. Front Matter
      Pages 1-1
    2. Kinko Tsuji, Stefan C. Müller
      Pages 3-29
    3. Stefan C. Müller, Kinko Tsuji
      Pages 31-66
    4. Kinko Tsuji, Stefan C. Müller
      Pages 67-87
  3. Spirals and Vortices in Mathematics

    1. Front Matter
      Pages 89-89
    2. Andrey Polezhaev
      Pages 91-112
  4. Spirals and Vortices in Chemistry

    1. Front Matter
      Pages 127-127
    2. Sabine Dietrich
      Pages 129-140
    3. Stefan C. Müller
      Pages 141-155
    4. Patricia Pfeiffer
      Pages 157-173
  5. Spirals and Vortices in Biology, Physiology, and Medical Science

    1. Front Matter
      Pages 191-191
    2. Alexander V. Panfilov
      Pages 209-215
    3. Niklas Manz, Flavio H. Fenton
      Pages 217-224
    4. 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
    2. Simon Syga, Josué M. Nava-Sedeño, Lutz Brusch, Andreas Deutsch
      Pages 253-264
    3. Vladimir S. Zykov
      Pages 265-276
  7. Back Matter
    Pages 277-298

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.


Spiral pattern formation Spiral chemical waves Dynamics of spirals Cultural history of spirals and vortices Spiral growth mechanisms Spiral forms in Nature Vortex dynamics Excitation waves in medicine Theory of spiral waves Spiral structures in art

Editors and affiliations

  • Kinko Tsuji
    • 1
  • Stefan C. Müller
    • 2
  1. 1.Shimadzu Europa GmbH DuisburgGermany
  2. 2.Institute of PhysicsOtto von Guericke University MagdeburgMagdeburgGermany

Bibliographic information

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