Spirals, Helical Lines, and Spiral-Like Figures

ebook Mathematical Playfulness in Two and Three Dimensions

By Hans Walser

cover image of Spirals, Helical Lines, and Spiral-Like Figures

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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.
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The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content.
Spirals, Helical Lines, and Spiral-Like Figures