Pentagons and Pentagrams

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A01=Eli Maor
A01=Eugen Jost
Accelerating expansion of the universe
Accretion disk
Approximation
Architectural firm
Australian Astronomical Observatory
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Author_Eugen Jost
Baltimore World Trade Center
Bending
Black hole
Calculation
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Category=PBF
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Category=PDZM
Chapter 9
Compact star
Cosmic microwave background
Cosmic ray
Defensive wall
Detection
Deuterium
Diffraction
Dodecahedron
Duodecimal
Electron rest mass
Emblem
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Equation
Fractal
Geology of the Moon
Geometry
Golden ratio
Gravitational wave
Gravity wave
Industry
Infrastructure
International Space Station
Irrational number
Jaca
Jeff Bezos
Kip Thorne
Length
Light-year
Line segment
Mathematician
Metal
Meteorite
Muon
Neutrino
Notation
Pentagon
Pentagonal tiling
Photon
Planetary system
Polyhedron
Potomac River
Quantity
Quasar
Radio telescope
Radio wave
Rare earth element
Ray (optics)
Rectangle
Regular polygon
Rotational symmetry
Solar mass
Spacecraft
Star formation
Star of David
Stellar classification
Supermassive black hole
Temperature
Tessellation
Tourism
Wavelength
X-ray

Product details

  • ISBN 9780691257297
  • Dimensions: 140 x 216mm
  • Publication Date: 04 Nov 2025
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Paperback
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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.

Eli Maor is a former professor of the history of mathematics at Loyola University Chicago. His books include the internationally acclaimed To Infinity and Beyond, e: The Story of a Number, The Pythagorean Theorem: A 4,000-Year History, Music by the Numbers, and with Eugen Jost, Beautiful Geometry (all Princeton). Eugen Jost is a well-known Swiss artist whose work is strongly influenced by mathematics.

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