Pentagons and Pentagrams : : An Illustrated History / / Eugen Jost, Eli Maor.
A fascinating exploration of the pentagon and its role in various culturesThe 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...
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Maor, Eli, author. aut http://id.loc.gov/vocabulary/relators/aut Pentagons and Pentagrams : An Illustrated History / Eugen Jost, Eli Maor. Princeton, NJ : Princeton University Press, [2022] ©2022 1 online resource (200 p.) : 19 color + 85 b/w illus. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- CONTENTS -- PREFACE. Why the Pentagon? -- 1 Five -- 2 φ -- 3 But Is It Divine? -- 4 Constructing the Regular Pentagon -- 5 The Pentagram -- 6 Pentastars -- 7 Tessellations -- 8 The Discovery of Fivefold Symmetry in Crystals -- 9 Oh, That Pentagon -- A The Elementary Euclidean Constructions -- B Three Properties of the Fibonacci Numbers -- C A Proof That There Exist Only Five Platonic Solids -- D Summary of Formulas -- E Solutions to Puzzles -- BIBLIOGRAPHY -- CREDITS -- INDEX restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star A fascinating exploration of the pentagon and its role in various culturesThe 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. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Mai 2023) Mathematics History. Pentacles. Pentagon. MATHEMATICS / Geometry / General. bisacsh African Americans. Algebraic equation. Andromeda Galaxy. Approximation. Bakery. Bank for International Settlements. Bargaining power. Basic income. Bullet Hole. Cash. Central bank. Charles Messier. Chesapeake Bay. Color space. Compass-and-straightedge construction. Competition. Cosmic distance ladder. Crystal structure. Crystal. Crystallography. Damien Hirst. Diagonal. Diagram. Diffraction. Dodecahedron. Domestic worker. Duodecimal. Earthrise. Economic history. Economic policy. Economy. Employment. Empowerment. Engraving. Equilateral triangle. Estimator. Eurozone. Fermat number. Financial crisis. Geometry. Golden ratio. Government of the United Kingdom. Hexagon. Impact pressure. Income. Infinite product. Irrational number. Kamchatka Peninsula. Leonhard Euler. Linus Pauling. Mathematician. Measurement. Measures of national income and output. Meteorite. Milky Way. Monetary policy. Moon rock. Negative income tax. Nice. Notation. Number theory. Observable universe. Optimal control. Painting. Palazzo Vecchio. Payout. Pentagonal tiling. Percentage. Platonic solid. Polyhedron. Potomac River. Private sector. Probability distribution. Productivity. Proportionality (mathematics). Public finance. Quantity. Quasicrystal. Rational number. Rectangle. Regular polygon. Requirement. Siberia. State observer. Symmetry. Tax credit. Taxis. Technological change. Tessellation. Tetrahedron. Theorem. Transcendental number. Trigonometry. Unemployment. Unit square. Vibration. Wage. Wealth. Welfare reform. Jost, Eugen, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English 9783110993899 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 9783110994810 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 English 9783110993868 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 9783110770445 ZDB-23-DMA Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2022 9783110749731 print 9780691201122 https://doi.org/10.1515/9780691238555?locatt=mode:legacy https://www.degruyter.com/isbn/9780691238555 Cover https://www.degruyter.com/document/cover/isbn/9780691238555/original |
language |
English |
format |
eBook |
author |
Maor, Eli, Maor, Eli, Jost, Eugen, |
spellingShingle |
Maor, Eli, Maor, Eli, Jost, Eugen, Pentagons and Pentagrams : An Illustrated History / Frontmatter -- CONTENTS -- PREFACE. Why the Pentagon? -- 1 Five -- 2 φ -- 3 But Is It Divine? -- 4 Constructing the Regular Pentagon -- 5 The Pentagram -- 6 Pentastars -- 7 Tessellations -- 8 The Discovery of Fivefold Symmetry in Crystals -- 9 Oh, That Pentagon -- A The Elementary Euclidean Constructions -- B Three Properties of the Fibonacci Numbers -- C A Proof That There Exist Only Five Platonic Solids -- D Summary of Formulas -- E Solutions to Puzzles -- BIBLIOGRAPHY -- CREDITS -- INDEX |
author_facet |
Maor, Eli, Maor, Eli, Jost, Eugen, Jost, Eugen, Jost, Eugen, |
author_variant |
e m em e m em e j ej |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Jost, Eugen, Jost, Eugen, |
author2_variant |
e j ej |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Maor, Eli, |
title |
Pentagons and Pentagrams : An Illustrated History / |
title_sub |
An Illustrated History / |
title_full |
Pentagons and Pentagrams : An Illustrated History / Eugen Jost, Eli Maor. |
title_fullStr |
Pentagons and Pentagrams : An Illustrated History / Eugen Jost, Eli Maor. |
title_full_unstemmed |
Pentagons and Pentagrams : An Illustrated History / Eugen Jost, Eli Maor. |
title_auth |
Pentagons and Pentagrams : An Illustrated History / |
title_alt |
Frontmatter -- CONTENTS -- PREFACE. Why the Pentagon? -- 1 Five -- 2 φ -- 3 But Is It Divine? -- 4 Constructing the Regular Pentagon -- 5 The Pentagram -- 6 Pentastars -- 7 Tessellations -- 8 The Discovery of Fivefold Symmetry in Crystals -- 9 Oh, That Pentagon -- A The Elementary Euclidean Constructions -- B Three Properties of the Fibonacci Numbers -- C A Proof That There Exist Only Five Platonic Solids -- D Summary of Formulas -- E Solutions to Puzzles -- BIBLIOGRAPHY -- CREDITS -- INDEX |
title_new |
Pentagons and Pentagrams : |
title_sort |
pentagons and pentagrams : an illustrated history / |
publisher |
Princeton University Press, |
publishDate |
2022 |
physical |
1 online resource (200 p.) : 19 color + 85 b/w illus. |
contents |
Frontmatter -- CONTENTS -- PREFACE. Why the Pentagon? -- 1 Five -- 2 φ -- 3 But Is It Divine? -- 4 Constructing the Regular Pentagon -- 5 The Pentagram -- 6 Pentastars -- 7 Tessellations -- 8 The Discovery of Fivefold Symmetry in Crystals -- 9 Oh, That Pentagon -- A The Elementary Euclidean Constructions -- B Three Properties of the Fibonacci Numbers -- C A Proof That There Exist Only Five Platonic Solids -- D Summary of Formulas -- E Solutions to Puzzles -- BIBLIOGRAPHY -- CREDITS -- INDEX |
isbn |
9780691238555 9783110993899 9783110994810 9783110993868 9783110770445 9783110749731 9780691201122 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA482 |
callnumber-sort |
QA 3482 M34 42022 |
url |
https://doi.org/10.1515/9780691238555?locatt=mode:legacy https://www.degruyter.com/isbn/9780691238555 https://www.degruyter.com/document/cover/isbn/9780691238555/original |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
516 - Geometry |
dewey-full |
516/.154 |
dewey-sort |
3516 3154 |
dewey-raw |
516/.154 |
dewey-search |
516/.154 |
doi_str_mv |
10.1515/9780691238555?locatt=mode:legacy |
oclc_num |
1336405368 |
work_keys_str_mv |
AT maoreli pentagonsandpentagramsanillustratedhistory AT josteugen pentagonsandpentagramsanillustratedhistory |
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n |
ids_txt_mv |
(DE-B1597)626896 (OCoLC)1336405368 |
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hierarchy_parent_title |
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2022 |
is_hierarchy_title |
Pentagons and Pentagrams : An Illustrated History / |
container_title |
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English |
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