Name: Spirals, Helical Lines, and Spiral-Like Figures
ISBN: 978-3-662-68931-8

Overview

Authors:

Hans Walser ⁰

Hans Walser
1. Frauenfeld, Switzerland
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Exciting Resource for Educators, Learners, and Math Enthusiasts
Attractive Color Illustrations and Supplementary Animations (the latter through the SN More Media App or browser)
Modular structure so that the individual chapters can be read largely independently of each other

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About this book

In this book you will discover the mathematical patterns and regularities of various spirals, helixes and spiral-like figures. Their geometric aspects and connections are presented in a visually appealing way and are supplemented as best as possible with analytical aspects and representations. Using examples from technology and nature, you will learn about round, square, golden and spherical spirals and examine their curvature behavior and other exciting properties. The examples are arranged thematically and the book has a modular structure so that the individual chapters can be read largely independently of each other. It is therefore a valuable resource for students, pupils, (prospective) teachers, those interested in mathematics and those who want to become one.

Additional animations are available with the SN More Media app: simply download the SN More Media app free of charge, scan an image or a link with the play button and immediately play the animation on your smartphone or tablet.

The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content.

Keywords

Table of contents (10 chapters)

Front Matter

Pages i-ix

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Introduction
- Hans Walser
Pages 1-12
The Logarithmic Spiral
- Hans Walser
Pages 13-28
The Archimedean Spiral
- Hans Walser
Pages 29-48
Screws
- Hans Walser
Pages 49-65
Angular Logarithmic Spirals
- Hans Walser
Pages 67-94
Angular Archimedean Spirals
- Hans Walser
Pages 95-110
Curvature
- Hans Walser
Pages 111-121
Golden Spirals
- Hans Walser
Pages 123-129
Optical Illusions
- Hans Walser
Pages 131-138
Spherical Spirals
- Hans Walser
Pages 139-151

Authors and Affiliations

Frauenfeld, Switzerland

Hans Walser

About the author

Dr. Hans Walser was a high school teacher and lecturer at the ETH Zurich, the University of Basel and the Basel University of Education in the areas of teacher training and mathematics for natural and engineering students.

Bibliographic Information

Book Title: Spirals, Helical Lines, and Spiral-Like Figures
Book Subtitle: Mathematical Playfulness in Two and Three Dimensions
Authors: Hans Walser
DOI: https://doi.org/10.1007/978-3-662-68931-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE, part of Springer Nature 2024
Softcover ISBN: 978-3-662-68930-1Published: 15 May 2024
eBook ISBN: 978-3-662-68931-8Published: 14 May 2024
Edition Number: 1
Number of Pages: IX, 151
Number of Illustrations: 13 b/w illustrations, 242 illustrations in colour
Topics: Geometry, Mathematics, general

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Spirals, Helical Lines, and Spiral-Like Figures