The Golden Ratio
Description
This book illustrates key mathematical aspects of the Golden Ratio: It particularly delves into geometric and number theoretical connections and examples, and makes further considerations and generalizations accessible.
The book is primarily aimed at students, pupils, mathematics teachers, and interested laypeople. It is modular in structure, so the individual chapters can be read independently of one another. The reading is intended to encourage one's own geometric activities. Tips and procedural hints from the craft-creative realm are also provided.
Supplementary animations can be accessed with the SN More Media App: simply download the SN More Media App for free, scan a picture or 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.
Reviews / Votes
"I recommend this concise volume for teachers of high school and students, more precisely, parallel to a formal elementary geometry course. The whole book is a good example of how visualization is useful in mathematics education, and hence, can be considered in related university courses, too." (Mehdi Hassani, zbMATH 1560.00002, 2025)
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Person
Dr. Hans Walser was a high school teacher and a lecturer at ETH Zurich, the University of Basel, and the University of Teacher Education Basel in the field of teacher training and mathematics for students of natural and engineering sciences.
Content
Preface.- What is it about?- Golden Geometry.- Golden Angles.- Folding and Cutting.- Number Sequences.- Regular and Related Solids.- Examples.- Literature.