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This is the first volume to bring together archaeology, anthropology, and art history in the analysis of pre-Columbian pottery. While previous research on ceramic artifacts has been divided by these three disciplines, this volume shows how integrating these approaches provides new understandings of many different aspects of Ancient American societies. Contributors from a variety of backgrounds in these fields explore what ceramics can reveal about ancient social dynamics, trade, ritual, politics, innovation, iconography, and regional styles. Essays identify supernatural and humanistic beliefs through formal analysis of Lower Mississippi Valley "Great Serpent" effigy vessels and Ecuadorian de...
"Science of the Pacific Island Peoples is a series of four volumes which contains a unique collection of traditional scientific and technical knowledge from the Pacific Islands. Traditional knowledge, based on accumulated experience or continuous usage, is usually passed from one generation to the next by work of mouth and demonstration. Having had little attention from the media, education ministries, or development agencies, traditional knowledge is in danger of being forgotten. These books attempt to record some aspects of traditional knowledge before they are lost. This, the fourth volume, on Education, Language, Patterns, and Policy contains chapters on allegory, Australia, tourism, the 21st century, Fijian cosmology, Tongan symmetries, Papua New Guinea, the Cook Islands, communication and information, the Crown Research Institutes of Aotearoa/New Zealand, Polynesian thought, Maori knowledge, developmental activities in Western Samoa, Fijian mats, Micronesian development, and Vanuatu games. The other volumes in the series are Ocean and Coastal Studies (volume 1); Land Use and Agriculture (volume 2); and Fauna, Flora, Food & Medicine (volume 3)."--Back cover.
A practical, accessible introduction to advanced geometryExceptionally well-written and filled with historical andbibliographic notes, Methods of Geometry presents a practical andproof-oriented approach. The author develops a wide range ofsubject areas at an intermediate level and explains how theoriesthat underlie many fields of advanced mathematics ultimately leadto applications in science and engineering. Foundations, basicEuclidean geometry, and transformations are discussed in detail andapplied to study advanced plane geometry, polyhedra, isometries,similarities, and symmetry. An excellent introduction to advancedconcepts as well as a reference to techniques for use inindependent study ...
In the late 1800s, archaeologists began discovering engraved stone plaques in Neolithic (3500-2500 BC) graves in southern Portugal and Spain. About the size of one's palm, usually made of slate, and incised with geometric or, more rarely, zoomorphic and anthropomorphic designs, these plaques have mystified generations of researchers. What do their symbols signify? How were the plaques produced? Were they worn during an individual's lifetime, or only made at the time of their death? Why, indeed, were the plaques made at all? Employing an eclectic range of theoretical and methodological lenses, Katina Lillios surveys all that is currently known about the Iberian engraved stone plaques and advances her own carefully considered hypotheses about their manufacture and meanings. After analyzing data on the plaques' workmanship and distribution, she builds a convincing case that the majority of the Iberian plaques were genealogical records of the dead that served as durable markers of regional and local group identities. Such records, she argues, would have contributed toward legitimating and perpetuating an ideology of inherited social difference in the Iberian Late Neolithic.
Geometry has been defined as that part of mathematics which makes appeal to the sense of sight; but this definition is thrown in doubt by the existence of great geometers who were blind or nearly so, such as Leonhard Euler. Sometimes it seems that geometric methods in analysis, so-called, consist in having recourse to notions outside those apparently relevant, so that geometry must be the joining of unlike strands; but then what shall we say of the importance of axiomatic programmes in geometry, where reference to notions outside a restricted reper tory is banned? Whatever its definition, geometry clearly has been more than the sum of its results, more than the consequences of some few axiom...
"In Classical China, crafted artifacts offered a material substrate for abstract thought as graphic paradigms for social relationships. Focusing on the fifth to second centuries B.C., Martin Powers explores how these paradigms continued to inform social thought long after the material substrate had been abandoned. In this detailed study, the author makes the claim that artifacts are never neutral: as a distinctive possession, each object—through the abstracting function of style—offers a material template for scales of value. Likewise, through style, pictorial forms can make claims about material “referents,” the things depicted. By manipulating these scales and their referents, arti...
From the Preface:"Over the years, Paulus Gerdes has established himself as the pre-eminent expert on patterns in African weaving and basketry, and the broader implications of these patterns. ... This new book is a broad gallery of plaited African designs. These range over much of the continent while concentrating on those parts of Africa that are closest to his Mozambique center, including Kongo, Mbole and Mangbetu from Congo, Cokwe and Lunda from Angola, Digo from Kenya, Soga from Uganda, Zulu from South Africa, and Makhuwa in Mozambique itself, but including such distant peoples as Bamileke in Cameroon. In Gerdes' gallery we are shown the love of patterns and symmetries that are the result of centuries of exultant exploration. Enjoy!"Donald W. CroweProfessor of Mathematics, EmeritusUniversity of Wisconsin
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.
Surveys the state-of-the-art in combinatorial game theory, that is games not involving chance or hidden information.