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The art of mathematics. From hands-on geometry to number theory. (Die Kunst der Mathematik. Von der handgreiflichen Geometrie zur Zahlentheorie.) (German)
,. 235 p. (2003).
Im ersten Kapitel des Buches wird ausführlich beschrieben, wie reguläre Polygone gefaltet werden können. Kapitel 2 beschäftigt sich mit der Mathematik des Papierfaltens: Winkel, Approximation und Konvergenz, einfacher Faltprozess. Kapitel 3 bis 11 führen danach in das Falten einer Vielzahl verschiedener Polyeder und Polygone ein, u. a. Flexagone, Doppelpyramiden, pop-up Polyeder, Dodekaeder, Flechtmodelle der platonischen Körper, Flechtmodelle umstülpbarer Ringe, Kollapsoide.
From the review of the original English version: This book will help the reader to really DO geometry! The reader is expected to 1. build from easily accessible materials some intriguing three-dimensional shapes; 2. find out why these shapes are fascinating, both esthetically and mathematically; 3. be introduced to the symmetry of the shapes and discover relationships between the vertices, edges, and faces of your polyhedral models. Some topics: 1. Foldins of your polyhedral models. Some topics: 1. Folding Regular Polygons. 2. The Mathematics of Paper Folding. 3. Constructing Flexagons. 4. Introduction to Polyhedra. 5. Constructing Dg Dipyramids from a Single Straight Strip. 6. Constructing Pop-up Polyhedra, Dodecahedra, and Collapsoids. 7. Braiding Platonic Solids and Rotating Rings.
Classification: G40 G50 U60
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