Geometric Symmetry (book)
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Geometric Symmetry (book)
''Geometric symmetry'' is a book by mathematician E.H. Lockwood and design engineer R.H. Macmillan published by Cambridge University Press in 1978. The subject matter of the book is symmetry and geometry. Structure and topics The book is divided into two parts. The first part (chapters 1-13) is largely descriptive and written for the non-mathematical reader. The second part (chapters 14-27) is more mathematical, but only elementary geometrical knowledge is assumed. In the first part the authors describe and illustrate the following topics: symmetry elements, frieze patterns, wallpaper patterns, and rod, layer and space patterns. The first part also introduces the concepts of continuous, dilation, dichromatic and polychromatic symmetry. In the second part the authors revisit all of the topics from the first part; but in more detail, and with greater mathematical rigour. Group theory and symmetry are the foundations of the material in the second part of the book. A detailed ...
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Cambridge University Press
Cambridge University Press was the university press of the University of Cambridge. Granted a letters patent by King Henry VIII in 1534, it was the oldest university press in the world. Cambridge University Press merged with Cambridge Assessment to form Cambridge University Press and Assessment under Queen Elizabeth II's approval in August 2021. With a global sales presence, publishing hubs, and offices in more than 40 countries, it published over 50,000 titles by authors from over 100 countries. Its publications include more than 420 academic journals, monographs, reference works, school and university textbooks, and English language teaching and learning publications. It also published Bibles, runs a bookshop in Cambridge, sells through Amazon, and has a conference venues business in Cambridge at the Pitt Building and the Sir Geoffrey Cass Sports and Social Centre. It also served as the King's Printer. Cambridge University Press, as part of the University of Cambridge, was a ...
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William J
William is a masculine given name of Germanic origin. It became popular in England after the Norman conquest in 1066,All Things William"Meaning & Origin of the Name"/ref> and remained so throughout the Middle Ages and into the modern era. It is sometimes abbreviated "Wm." Shortened familiar versions in English include Will or Wil, Wills, Willy, Willie, Bill, Billie, and Billy. A common Irish form is Liam. Scottish diminutives include Wull, Willie or Wullie (as in Oor Wullie). Female forms include Willa, Willemina, Wilma and Wilhelmina. Etymology William is related to the German given name ''Wilhelm''. Both ultimately descend from Proto-Germanic ''*Wiljahelmaz'', with a direct cognate also in the Old Norse name ''Vilhjalmr'' and a West Germanic borrowing into Medieval Latin ''Willelmus''. The Proto-Germanic name is a compound of *''wiljô'' "will, wish, desire" and *''helmaz'' "helm, helmet".Hanks, Hardcastle and Hodges, ''Oxford Dictionary of First Names'', Oxf ...
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Branko Grünbaum
Branko Grünbaum (; 2 October 1929 – 14 September 2018) was a Croatian-born mathematician of Jewish descentBranko Grünbaum
Hrvatska enciklopedija LZMK.
and a professor at the in . He received his Ph.D. in 1957 from Hebrew University of Jerusalem.


Life

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The Mathematical Gazette
''The Mathematical Gazette'' is a triannual peer-reviewed academic journal published by Cambridge University Press on behalf of the Mathematical Association. It covers mathematics education with a focus on the 15–20 years age range. The journal was established in 1894 by Edward Mann Langley as the successor to the ''Reports of the Association for the Improvement of Geometrical Teaching''. William John Greenstreet was its editor-in-chief for more than thirty years (1897–1930). Since 2000, the editor is Gerry Leversha. Editors-in-chief The following persons are or have been editor-in-chief: Abstracting and indexing The journal is abstracted and indexed in EBSCO databases, Emerging Sources Citation Index, Scopus Scopus is a scientific abstract and citation database, launched by the academic publisher Elsevier as a competitor to older Web of Science in 2004. The ensuing competition between the two databases has been characterized as "intense" and is c ..., and zbMA ...
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American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe became the first president while Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance over concerns about competing with the '' American Journal of Mathematics''. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influentia ...
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MathSciNet
MathSciNet is a searchable online bibliographic database created by the American Mathematical Society in 1996. It contains all of the contents of the journal ''Mathematical Reviews'' (MR) since 1940 along with an extensive author database, links to other MR entries, citations, full journal entries, and links to original articles. It contains almost 3.6 million items and over 2.3 million links to original articles. Along with its parent publication ''Mathematical Reviews'', MathSciNet has become an essential tool for researchers in the mathematical sciences. Access to the database is by subscription only and is not generally available to individual researchers who are not affiliated with a larger subscribing institution. For the first 40 years of its existence, traditional typesetting was used to produce the Mathematical Reviews journal. Starting in 1980 bibliographic information and the reviews themselves were produced in both print and electronic form. This formed the basis of ...
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Symmetry Aspects Of M
Symmetry () in everyday life refers to a sense of harmonious and beautiful proportion and balance. In mathematics, the term has a more precise definition and is usually used to refer to an object that is invariant under some transformations, such as translation, reflection, rotation, or scaling. Although these two meanings of the word can sometimes be told apart, they are intricately related, and hence are discussed together in this article. Mathematical symmetry may be observed with respect to the passage of time; as a spatial relationship; through geometric transformations; through other kinds of functional transformations; and as an aspect of abstract objects, including theoretic models, language, and music. This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science and nature; and in the arts, covering architecture, art, and music. The opposite of symmetry is asymmetry, ...
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Carolina Henriette MacGillavry
Carolina Henriette MacGillavry (22 January 1904 – 9 May 1993) was a Dutch chemist and crystallography, crystallographer. She is known for her discoveries on the use of diffraction in crystallography. Biography MacGillavry (nicknamed "Mac") was born on 22 January 1904, in Amsterdam, the second of six children in an intellectual family (her father was a brain surgery, surgeon, her mother a teacher). Education In 1921, MacGillavry began studying chemistry at the University of Amsterdam. After graduating in 1925, she developed an interest in the (then) emerging field of quantum mechanics. In 1928, she gave "a very topical" presentation on quantum mechanical calculations on the hydrogen molecule. She obtained her Master's degree (cum laude) on March 16, 1932, and continued to work as an assistant to a chemist named A. Smits. She became a friend of Johannes Martin Bijvoet, J. M. Bijvoet, and became interested in crystallography which led to her 1937 PhD thesis on the subject, which ...
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Symmetry In Science And Art
''Symmetry in Science and Art'' is a book by A.V. Shubnikov and V.A. Koptsik published by Plenum Press in 1974. The book is a translation of ''Simmetrija v nauke i iskusstve'' (Russian: Симметрия в науке и искусстве) published by Nauka in 1972. The book was notable because it gave English-language speakers access to Russian work in the fields of dichromatic and polychromatic symmetry. Structure and topics The book is divided into two parts. The first part is an updated version of A.V. Shubnikov's 1940 book ''Symmetry: laws of symmetry and their application in science, technology and applied arts'' (Russian: Симметрия : законы симметрии и их применение в науке, технике и прикладном искусстве). The following types of classical (one-color) and dichromatic (two-color) symmetries are covered in the first part of the book: one-sided rosettes, figures with a singular point, one-sided ba ...
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Vladimir Alexandrovich Koptsik
Vladimir Alexandrovich Koptsik (; 26February 1924 – 2April 2005) was a Soviet crystallographer and physicist. In 1966 Koptsik was the first to publish the complete atlas of all 1651 antisymmetry space groups.Koptsik, V.A. (1966). ''Shubnikov groups: handbook on the symmetry and physical properties of crystal structures'' (in Russian), Moscow: Moscow University In 1972 he published ''Symmetry in science and art'' with extensive coverage of dichromatic and polychromatic symmetry. Life Career Koptsik was born on 26 February 1924 in Ivanovo. In 1941-1944 he worked as a turner in a defence plant in Moscow. Koptsik graduated from Moscow State University in 1949. He then began post-graduate work under the supervision of A.V. Shubnikov and submitted his candidate's dissertation in 1953.The Editors (2005), ''Vladimir Aleksandrovich Koptsik (February 26, 1924 – April 2, 2005)'', Crystallog. Reports, 50(5), 890-891 In 1953 Koptsik was hired as an assistant to Shubnikov in the new de ...
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Alexei Vasilievich Shubnikov
Alexei Vasilievich Shubnikov (; 29March 1887 – 27April 1970) was a Soviet crystallographer and mathematician. Shubnikov was the founding director of the Institute of Crystallography (named after him following his death) of the Academy of Sciences of the Soviet Union in Moscow. Shubnikov pioneered Russian crystallography and its application. Life Career In 1912 Shubnikov graduated from the Department of Natural Sciences of the Faculty of Physics and Mathematics of Moscow University. From 1920 to 1925 he was a professor at the Ural Mining Institute, Yekaterinburg. In 1925, at the invitation of the well-known mineralogist and geologist Alexander Fersman, he went to Leningrad, where he founded a laboratory of crystallography and laid the foundations of the Soviet school of theoretical and applied crystallography and related fields. From 1927 to 1929 he visited research institutions in Norway and Germany and worked temporarily with Friedrich Rinne. In 1934 he received a doctora ...
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Mathematical Reviews
''Mathematical Reviews'' is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science. The AMS also publishes an associated online bibliographic database called MathSciNet, which contains an electronic version of ''Mathematical Reviews''. Reviews Mathematical Reviews was founded by Otto E. Neugebauer in 1940 as an alternative to the German journal '' Zentralblatt für Mathematik'', which Neugebauer had also founded a decade earlier, but which under the Nazis had begun censoring reviews by and of Jewish mathematicians. The goal of the new journal was to give reviews of every mathematical research publication. As of November 2007, the ''Mathematical Reviews'' database contained information on over 2.2 million articles. The authors of reviews are volunteers, usually chosen by the editors because of some expertise in the area of the articl ...
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