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Pentagons and Pentagrams

An Illustrated History

Eugen Jost, Eli Maor

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Geometrie

Beschreibung

A fascinating exploration of the pentagon and its role in various cultures

The pentagon and its close cousin, the pentagram, have inspired individuals for the last two and half millennia, from mathematicians and philosophers to artists and naturalists. Despite the pentagon’s wide-ranging history, no single book has explored the important role of this shape in various cultures, until now. Richly illustrated, Pentagons and Pentagrams offers a sweeping view of the five-sided polygon, revealing its intriguing geometric properties and its essential influence on a variety of fields.

Traversing time, Eli Maor narrates vivid stories, both celebrated and unknown, about the pentagon and pentagram. He discusses the early Pythagoreans, who ascribed to the pentagon mythical attributes, adopted it as their emblem, and figured out its construction with a straightedge and compass. Maor looks at how a San Diego housewife uncovered four previously unknown types of pentagonal tilings, and how in 1982 a scientist’s discovery of fivefold symmetries in certain alloys caused an uproar in crystallography and led to a Nobel Prize. Maor also discusses the pentagon’s impact on many buildings, from medieval fortresses to the Pentagon in Washington, D.C. Eugen Jost’s superb illustrations provide sumptuous visual context, and the book’s puzzles and mazes offer fun challenges for readers, with solutions given in an appendix.

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Schlagwörter

Compact star, X-ray, Star of David, Mathematician, Baltimore World Trade Center, Star formation, Metal, Ray (optics), Deuterium, Light-year, Rectangle, Radio wave, Accretion disk, Geometry, Spacecraft, Supermassive black hole, Wavelength, Kip Thorne, Solar mass, International Space Station, Tourism, Muon, Golden ratio, Infrastructure, Duodecimal, Radio telescope, Bending, Tessellation, Emblem, Pentagon, Gravitational wave, Notation, Jaca, Gravity wave, Architectural firm, Potomac River, Black hole, Quasar, Electron rest mass, Defensive wall, Fractal, Jeff Bezos, Calculation, Pentagonal tiling, Length, Dodecahedron, Diffraction, Temperature, Neutrino, Equation, Irrational number, Rotational symmetry, Accelerating expansion of the universe, Cosmic ray, Photon, Polyhedron, Australian Astronomical Observatory, Rare earth element, Approximation, Regular polygon, Detection, Planetary system, Industry, Cosmic microwave background, Meteorite, Stellar classification, Quantity, Line segment, Chapter 9, Geology of the Moon