Fivefold Symmetry

Fivefold symmetry is common in flowers, fruits, molecules, logos, and buildings, but it is a forbidden symmetry in the world of crystals. A few years ago, the so-called quasicrystals were discovered displaying fivefold symmetry, and it caused a minirevolution in crystallography. There has been increased awareness of fivefold symmetry in all domains of human interest ever since. The present book brings together authors and ideas on a common theme from mathematics, the sciences, design, and anthropology to history, literature, and the arts. Its 29 chapters are an offering by scientists and humanists from 13 countries to a broad readership of professionals and laypersons about fivefold symmetry and the areas that are being bridged by this unique concept. Contents: Fivefold Symmetry in Mathematics, Physics, Chemistry and Beyond (J Brandmüller)800 Year Old Pentagonal Tiling from Maragh(, Iran, and the New Varieties of Aperiodic Tiling it Inspired (E Makovicky)Fivefold Symmetry in Hyperbolic Crystallography (D Dunham)Pentagonal Chaos (C A Pickover)The Discovery of Space Frames with Fivefold Symmetry (S Baer)The Icosahedral Design of the Great Pyramid (H F Verheyen)A Mystic History of Fivefold Symmetry in Japan (K Miyazaki)Albrecht Dürer and the Regular Pentagon (D W Crowe)Fivefold Symmetry in the Graphic Art of M C Escher (R A Dunlap)Hawaiian Flowers with Fivefold Symmetry (M Hargittai)The Relationship between Mathematics and Mysticism of the Golden Mean Through History (J Kappraff)An Islamic Pentagonal Seal (W K Chorbachi & A L Loeb)and other papers Readership: Scientists, humanists, artists and laypersons. keywords: