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Fivefold symmetry

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HargittaiIstv鈇n
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World Scientific, 1992 - 561 ページ
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.
  

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目次

Fivefold Symmetry in Mathematics Physics Chemistry
11
The Relationship Between Mathematics and Mysticism of
33
800YearOld Pentagonal Tiling From Maragha Iran and
67
Plane Projections of Regular Polytopes with Fivefold Symmetries
87
Fivefold Symmetry in Hyperbolic Crystallography
129
The Pentasnow Gasket and its Fractal Dimension
141
How to Inscribe a Dodecahedron in a Sphere
167
The Discovery of Space Frames with Fivefold Symmetry
205
Notes on Some Pentagonal Mysteries in Egyptian
307
The Icosahedral Design of the Great Pyramid
333
A Mystic History of Fivefold Symmetry in Japan
361
Fivefold Symmetry in the Literature
395
Certain Quinary Aspects of the Hindu Civilization
423
On the Shape of Five in Early Hindu Thought
445
Albrecht Durer and the Regular Pentagon
465
Fivefold Symmetry in the Graphic Art of M C Escher
489

The New Zome Primer
221
A Calvinist Church
235
Pentagon and Decagon Designs in Islamic Art
263
An Islamic Pentagonal Seal from Scientific Manuscripts of
283
Nomothetical Modelling of Spiral Symmetry in Biology
505
Hawaiian Flowers with Fivefold Symmetry
529
著作権

多く使われている語句

ancient appears approximate architectural axis Beowulf century chaos circle construction corresponding crystallographers crystals cube decagon described diagonal diameter Diirer dimensions divergence angle divine dodecahedron Durer's dynamic edges Egyptian elements equal Euclidean example faces Fibonacci number figures fivefold axes fivefold rotational fivefold symmetry flowers four fourfold fractal geometric golden gnomon golden mean golden ratio golden section golden triangle graphics H.S.M. Coxeter Hargittai Hindu hyperbolic icosahedral icosahedron Islamic iteration Japanese Julia sets lattice length lines M.C. Escher Maragha mathematical mathematicians non-periodic number five Osiris pair pattern Penrose tiling Pentagonal Seal pentagram phyllotaxis plane Platonic solids polygons polyhedra Pyramid quasi-crystals regular hexagon regular pentagon represent rhombi Rig Veda rotational symmetry sequence shape shown in Fig shows side space space-fillings spiral square star decagon structure symbol symmetry group tessellation three-dimensional transformations translation triacontahedron two-dimensional Underweysung Upanishad vectors Vedic vertex vertices York zonohedra

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ウェブページからの参照

Quasicrystals and Fivefold Symmetry
matical interest in fivefold symmetry. were possibly the Babylonians, followed ... Fivefold Symmetry. Quasicrystals have well established ...
www1.ast.leeds.ac.uk/ ~knapp/ Nicola.pdf

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, ...
www.worldscibooks.com/ general/ 1359.html

Quasicrystals, Networks and Molecules of Fivefold Symmetry. Von I ...
Quasicrystals, Networks and Molecules of Fivefold Symmetry. Von. 1. Hargittai. VCH Verlagsgesellschaft, Weinheim/VCH. Publishers, New York, 1990. ...
doi.wiley.com/ 10.1002/ ange.19921040249

ADVANCED
Fivefold symmetry and crystalline order-these terms. were considered to be incompatible until ... also works out what fivefold symmetry means: diffraction ...
doi.wiley.com/ 10.1002/ adma.19910031022

QUASICRYSTALS, NETWORKS, AND MOLECULES OF FIVEFOLD SYMMETRY ...
QUASICRYSTALS, NETWORKS, AND MOLECULES OF FIVEFOLD SYMMETRY - Hargittai.
hargittai.comprar-livro.com.br/ livros/ 1047118738/

Sharing some Common Interests of mc Escher
More about Escher’s interest and use of fivefold symmetry in his other ... golden mean appears in this pattern in various ways, as do fivefold symmetry, ...
www.springerlink.com/ index/ k1t16431653q7024.pdf

Dr. István Hargittai, Professor of Chemistry
Fivefold Symmetry, World Scientific, Singapore, 1992 ... Quasicrystals, Networks, and Molecules of Fivefold Symmetry, VCH, New York, 1990 ...
aak.bme.hu/ hargittai/ brief.htm

sciencedirect - Materials Science and Engineering A : Dürer–Kepler ...
4a shows a fivefold nucleus, which can be extended to a multiple twin of fivefold symmetry. Fig. 4b can be completed in a randomising manner, Dürer wrote: ...
linkinghub.elsevier.com/ retrieve/ pii/ S0921509300013022

Have You Seen
Gerdes, Paulus, Fivefold Symmetry and (Basket) Weaving in Various Cultures, ... Although many have thought that "(fivefold) symmetry and other basic ...
www.ethnomath.org/ resources/ ISGEm/ 062.htm

AMU CHMA NEWSLETTER #5 (5/25/1990)
Paulus Gerdes concluded a paper on the appearance of fivefold symmetry in ... The study is entitled 'Fivefold Symmetry and (Basket) Weaving in Various ...
www.math.buffalo.edu/ mad/ AMU/ amu_chma_05.html

著者について (1992)

Istvan Hargittai is Professor of Chemistry and head of the George A. Olah PhD School of Chemistry and Chemical Engineering at the Budapest University of Technology and Economics and research professor at E otv os University. He is a member of the Hungarian Academy of Sciences, foreign member of the
Norwegian Academy of Science and Letters, and member of the Academia Europaea (London). He holds a PhD degree from E otv os University, D.Sc. degree from the Hungarian Academy of Sciences, and honorary doctorates from Moscow State University, the University of North Carolina, and the Russian Academy
of Sciences. He has lectured in some 30 countries and taught at several universities in the United States. He has published extensively on structural chemistry and on symmetry-related topics. His books include the Candid Science series of his collected interviews with famous scientists, The Road to
Stockholm about the Nobel Prize, and Our Lives, which includes a considerable amount of autobiographical material. He and his fellow professor wife live in Budapest. Their grown children, both PhDs, live in the United States.

書誌情報

QR code for Fivefold symmetry
書籍名Fivefold symmetry
編集者HargittaiIstv鈇n
寄与者HargittaiIstv鈇n
版2
出版社World Scientific, 1992
ISBN9810206003, 9789810206000
ページ数561 ページ
  
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