Diagram Geometry

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Diagram Geometry

Author : Francis Buekenhout
Publisher : Springer Science & Business Media
ISBN 13 : 3642344534
Total Pages : 597 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Diagram Geometry by : Francis Buekenhout

Download or read book Diagram Geometry written by Francis Buekenhout and published by Springer Science & Business Media. This book was released on 2013-01-26 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin geometries (related to Coxeter groups) and thick buildings from a diagrammatic perspective. Projective and affine geometry are main examples. Polar geometry is motivated by polarities on diagram geometries and the complete classification of those polar geometries whose projective planes are Desarguesian is given. It differs from Tits' comprehensive treatment in that it uses Veldkamp's embeddings. The book intends to be a basic reference for those who study diagram geometry. Group theorists will find examples of the use of diagram geometry. Light on matroid theory is shed from the point of view of geometry with linear diagrams. Those interested in Coxeter groups and those interested in buildings will find brief but self-contained introductions into these topics from the diagrammatic perspective. Graph theorists will find many highly regular graphs. The text is written so graduate students will be able to follow the arguments without needing recourse to further literature. A strong point of the book is the density of examples.

Sacred Geometry of the Starcut Diagram

Author : Malcolm Stewart
Publisher : Simon and Schuster
ISBN 13 : 1644114313
Total Pages : 591 pages
Book Rating : 4.6/5 (441 download)

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Book Synopsis Sacred Geometry of the Starcut Diagram by : Malcolm Stewart

Download or read book Sacred Geometry of the Starcut Diagram written by Malcolm Stewart and published by Simon and Schuster. This book was released on 2022-09-27 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: • Lavishly illustrated with hundreds of detailed diagrams and technical illustrations exploring the evolution and importance of the starcut diagram • Shows how the starcut diagram underlies the shaman’s dance in China, the Vedic Fire Altar in India, Raphael frescoes, labyrinth designs, the Great Pyramid in Egypt, and the building of ancient cities • Explains how the starcut diagram was used in building and design, how it relates to Pythagoras’s Tetrakys, and how it contains knowledge of the Tree of Life As Malcolm Stewart reveals in this lavishly illustrated study, the simplesquare figure of the Starcut diagram, created only with circles, has extraordinary geometric properties. It allows you to make mathematically exact measurements and build perfectly true level structures without a computer, calculator, slide rule, plumb bob, or laser level. Sharing his extensive research, along with hundreds of detailed diagrams and technical illustrations, the author shows how the Starcut diagram was the key to the building of humanity’s first cities and how it underlies many significant patterns and proportions around the world. Using circles drawn from the vesica piscis, Stewart explains how to create the Starcut diagram and shows how this shape was at the foundation of ancient building and design, illustrating the numerous connections between the diagram and the creation of mandalas and yantras, stained glass windows, architectural ground plans, temples and other sacred buildings, and surveying methods. He also shows how the Starcut diagram reveals ancient geometric knowledge of pi, the Fibonacci sequence, Pythagorean shapes and seals, the golden ratio, the power of 108 and other sacred numbers, and magic squares. Exploring the Starcut diagram’s cosmological and theological implications, Stewart explains how it contains knowledge of the Tree of Life and the Kabbalah. He examines how it relates to the Tetraktys, the key teaching device of Pythagoras, and other cosmograms. Demonstrating the ancient relationships existing between number, geometry, cosmology, and musical harmony, the author shows how the simple shape of the Starcut diagram unifies the many threads of sacred geometry into one beautiful mathematical tapestry.

The Diagram

Author : Adam Tetlow
Publisher : Wooden Books North America Edi
ISBN 13 : 9781952178290
Total Pages : 0 pages
Book Rating : 4.1/5 (782 download)

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Book Synopsis The Diagram by : Adam Tetlow

Download or read book The Diagram written by Adam Tetlow and published by Wooden Books North America Edi. This book was released on 2023-09-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do you divide a line into three? Or five? Or seven? Is there a simple way to marry harmony and geometry? What is the secret diagram alluded to by writers of antiquity? In this groundbreaking book, philosopher Adam Tetlow reveals the long lost Helicon, the master diagram of the ancient arts and crafts.Watch in astonishment as this magical geometric figure produces simple fractions, musical harmonies, Pythagorean triangles, perspective and more. WOODEN BOOKS US EDITIONS. Small books, BIG ideas. Tiny but packed with information. "Stunning" NEW YORK TIMES. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST.

Patterns of Eternity

Author : Malcolm Stewart
Publisher :
ISBN 13 : 9780863157127
Total Pages : 0 pages
Book Rating : 4.1/5 (571 download)

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Book Synopsis Patterns of Eternity by : Malcolm Stewart

Download or read book Patterns of Eternity written by Malcolm Stewart and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the starcut diagram which underlies many significant geometrical patterns and proportions across the world.

Handbook of Computational Geometry

Author : J.R. Sack
Publisher : Elsevier
ISBN 13 : 0080529682
Total Pages : 1087 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Computational Geometry by : J.R. Sack

Download or read book Handbook of Computational Geometry written by J.R. Sack and published by Elsevier. This book was released on 1999-12-13 with total page 1087 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Geometry is an area that provides solutions to geometric problems which arise in applications including Geographic Information Systems, Robotics and Computer Graphics. This Handbook provides an overview of key concepts and results in Computational Geometry. It may serve as a reference and study guide to the field. Not only the most advanced methods or solutions are described, but also many alternate ways of looking at problems and how to solve them.

Advances in Architectural Geometry 2010

Author : Cristiano Ceccato
Publisher : Birkhäuser
ISBN 13 : 3990433717
Total Pages : 242 pages
Book Rating : 4.9/5 (94 download)

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Book Synopsis Advances in Architectural Geometry 2010 by : Cristiano Ceccato

Download or read book Advances in Architectural Geometry 2010 written by Cristiano Ceccato and published by Birkhäuser. This book was released on 2016-12-05 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry lies at the core of the architectural design process. It is omnipresent, from the initial determination of form to the final construction. Modern geometric computing provides a variety of tools for the efficient design, analysis, and manufacturing of complex shapes. On the one hand this opens up new horizons for architecture. On the other, the architectural context also poses new problems for geometry. The research area of architectural geometry, situated at the border of applied geometry and architecture, is emerging to address these problems. This volume, presenting the papers accepted at the 2010 Advances in Architectural Geometry conference in Vienna, reflects the substantial progress made in this field. The interdisciplinary nature of architectural geometry is reflected in the diversity of backgrounds of the contributing authors. Renowned architects, engineers, mathematicians, and computer scientists present novel research ideas and cutting-edge solutions at the interface of geometry processing and architectural design.

Computational Geometry

Author : Mark de Berg
Publisher : Springer Science & Business Media
ISBN 13 : 3540779736
Total Pages : 388 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Computational Geometry by : Mark de Berg

Download or read book Computational Geometry written by Mark de Berg and published by Springer Science & Business Media. This book was released on 2008-03-07 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to computational geometry focuses on algorithms. Motivation is provided from the application areas as all techniques are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement.

The Learning and Teaching of Geometry in Secondary Schools

Author : Pat Herbst
Publisher : Taylor & Francis
ISBN 13 : 1351973533
Total Pages : 240 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis The Learning and Teaching of Geometry in Secondary Schools by : Pat Herbst

Download or read book The Learning and Teaching of Geometry in Secondary Schools written by Pat Herbst and published by Taylor & Francis. This book was released on 2017-03-16 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Geometry in Secondary Schools reviews past and present research on the teaching and learning of geometry in secondary schools and proposes an approach for design research on secondary geometry instruction. Areas covered include: teaching and learning secondary geometry through history; the representations of geometric figures; students’ cognition in geometry; teacher knowledge, practice and, beliefs; teaching strategies, instructional improvement, and classroom interventions; research designs and problems for secondary geometry. Drawing on a team of international authors, this new text will be essential reading for experienced teachers of mathematics, graduate students, curriculum developers, researchers, and all those interested in exploring students’ study of geometry in secondary schools.

The Temperature-entropy Diagram

Author : Charles William Berry
Publisher :
ISBN 13 :
Total Pages : 354 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis The Temperature-entropy Diagram by : Charles William Berry

Download or read book The Temperature-entropy Diagram written by Charles William Berry and published by . This book was released on 1908 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry Essentials For Dummies

Author : Mark Ryan
Publisher : John Wiley & Sons
ISBN 13 : 1119590469
Total Pages : 218 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Geometry Essentials For Dummies by : Mark Ryan

Download or read book Geometry Essentials For Dummies written by Mark Ryan and published by John Wiley & Sons. This book was released on 2019-04-19 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry Essentials For Dummies (9781119590446) was previously published as Geometry Essentials For Dummies (9781118068755). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Just the critical concepts you need to score high in geometry This practical, friendly guide focuses on critical concepts taught in a typical geometry course, from the properties of triangles, parallelograms, circles, and cylinders, to the skills and strategies you need to write geometry proofs. Geometry Essentials For Dummies is perfect for cramming or doing homework, or as a reference for parents helping kids study for exams. Get down to the basics — get a handle on the basics of geometry, from lines, segments, and angles, to vertices, altitudes, and diagonals Conquer proofs with confidence — follow easy-to-grasp instructions for understanding the components of a formal geometry proof Take triangles in strides — learn how to take in a triangle's sides, analyze its angles, work through an SAS proof, and apply the Pythagorean Theorem Polish up on polygons — get the lowdown on quadrilaterals and other polygons: their angles, areas, properties, perimeters, and much more

Digital Geometry

Author : Reinhard Klette
Publisher : Elsevier
ISBN 13 : 0080477267
Total Pages : 675 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Digital Geometry by : Reinhard Klette

Download or read book Digital Geometry written by Reinhard Klette and published by Elsevier. This book was released on 2004-09-04 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital geometry is about deriving geometric information from digital pictures. The field emerged from its mathematical roots some forty-years ago through work in computer-based imaging, and it is used today in many fields, such as digital image processing and analysis (with applications in medical imaging, pattern recognition, and robotics) and of course computer graphics. Digital Geometry is the first book to detail the concepts, algorithms, and practices of the discipline. This comphrehensive text and reference provides an introduction to the mathematical foundations of digital geometry, some of which date back to ancient times, and also discusses the key processes involved, such as geometric algorithms as well as operations on pictures. *A comprehensive text and reference written by pioneers in digital geometry, image processing and analysis, and computer vision*Provides a collection of state-of-the-art algorithms for a wide variety of geometrical picture analysis tasks, including extracting data from digital images and making geometric measurements on the data*Includes exercises, examples, and references to related or more advanced work

Automated Deduction in Geometry

Author : Hoon Hong
Publisher : Springer
ISBN 13 : 354031363X
Total Pages : 213 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Automated Deduction in Geometry by : Hoon Hong

Download or read book Automated Deduction in Geometry written by Hoon Hong and published by Springer. This book was released on 2006-02-08 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the thoroughly refereed post-proceedings of the 5th International Workshop on Automated Deduction in Geometry, ADG 2004, held at Gainesville, FL, USA in September 2004. The 12 revised full papers presented aurvey current issues theoretical and methodological topics as well as applications thereof - in particular automated geometry theorem proving, automated geometry problem solving, problems of dynamic geometry, and an object-oriented language for geometric objects.

Spacetime, Geometry, Cosmology

Author : William L. Burke
Publisher : Courier Dover Publications
ISBN 13 : 0486845583
Total Pages : 353 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Spacetime, Geometry, Cosmology by : William L. Burke

Download or read book Spacetime, Geometry, Cosmology written by William L. Burke and published by Courier Dover Publications. This book was released on 2020-12-16 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Novel interpretation of the relationship between space, time, gravitation, and their cosmological implications; based on author's discovery of a value in gravitation overlooked by both Newton and Einstein. 1982 edition.

ICGG 2022 - Proceedings of the 20th International Conference on Geometry and Graphics

Author : Liang-Yee Cheng
Publisher : Springer Nature
ISBN 13 : 3031135881
Total Pages : 1080 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis ICGG 2022 - Proceedings of the 20th International Conference on Geometry and Graphics by : Liang-Yee Cheng

Download or read book ICGG 2022 - Proceedings of the 20th International Conference on Geometry and Graphics written by Liang-Yee Cheng and published by Springer Nature. This book was released on 2022-08-12 with total page 1080 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers recent achievements on the ever-expanding field of Geometry and Graphics on both analogical and digital fronts, from theoretical investigations to a broad range of applications, new teaching methodologies, and historical aspects. It is from 20th International Conference on Geometry and Graphics (ICGG2022), a series of conference that started in 1978 and promoted by International Society for Geometry and Graphics, which aims to foster international collaboration and stimulate the scientific research and teaching innovations in the multidisciplinary field. The contents of the book are organized in: Theoretical Geometry and Graphics; Applied Geometry and Graphics; Engineering Computer Graphics; Graphics Education; Geometry and Graphics in History, and are intent for the academics, researchers, and professionals in architecture, engineering, industrial design, mathematics, and arts.

Handbook of Convex Geometry

Author : Bozzano G Luisa
Publisher : Elsevier
ISBN 13 : 0080934390
Total Pages : 803 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Handbook of Convex Geometry by : Bozzano G Luisa

Download or read book Handbook of Convex Geometry written by Bozzano G Luisa and published by Elsevier. This book was released on 2014-06-28 with total page 803 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Convex Geometry, Volume A offers a survey of convex geometry and its many ramifications and relations with other areas of mathematics, including convexity, geometric inequalities, and convex sets. The selection first offers information on the history of convexity, characterizations of convex sets, and mixed volumes. Topics include elementary convexity, equality in the Aleksandrov-Fenchel inequality, mixed surface area measures, characteristic properties of convex sets in analysis and differential geometry, and extensions of the notion of a convex set. The text then reviews the standard isoperimetric theorem and stability of geometric inequalities. The manuscript takes a look at selected affine isoperimetric inequalities, extremum problems for convex discs and polyhedra, and rigidity. Discussions focus on include infinitesimal and static rigidity related to surfaces, isoperimetric problem for convex polyhedral, bounds for the volume of a convex polyhedron, curvature image inequality, Busemann intersection inequality and its relatives, and Petty projection inequality. The book then tackles geometric algorithms, convexity and discrete optimization, mathematical programming and convex geometry, and the combinatorial aspects of convex polytopes. The selection is a valuable source of data for mathematicians and researchers interested in convex geometry.

Foundations of Geometric Cognition

Author : Mateusz Hohol
Publisher : Routledge
ISBN 13 : 042950859X
Total Pages : 188 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Foundations of Geometric Cognition by : Mateusz Hohol

Download or read book Foundations of Geometric Cognition written by Mateusz Hohol and published by Routledge. This book was released on 2019-09-12 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The cognitive foundations of geometry have puzzled academics for a long time, and even today are mostly unknown to many scholars, including mathematical cognition researchers. Foundations of Geometric Cognition shows that basic geometric skills are deeply hardwired in the visuospatial cognitive capacities of our brains, namely spatial navigation and object recognition. These capacities, shared with non-human animals and appearing in early stages of the human ontogeny, cannot, however, fully explain a uniquely human form of geometric cognition. In the book, Hohol argues that Euclidean geometry would not be possible without the human capacity to create and use abstract concepts, demonstrating how language and diagrams provide cognitive scaffolding for abstract geometric thinking, within a context of a Euclidean system of thought. Taking an interdisciplinary approach and drawing on research from diverse fields including psychology, cognitive science, and mathematics, this book is a must-read for cognitive psychologists and cognitive scientists of mathematics, alongside anyone interested in mathematical education or the philosophical and historical aspects of geometry.

Methods of Geometry

Author : James T. Smith
Publisher : John Wiley & Sons
ISBN 13 : 1118031032
Total Pages : 486 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Methods of Geometry by : James T. Smith

Download or read book Methods of Geometry written by James T. Smith and published by John Wiley & Sons. This book was released on 2011-03-01 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and research, Methods of Geometry alsofeatures: Ample exercises designed to promote effective problem-solvingstrategies Insight into novel uses of Euclidean geometry More than 300 figures accompanying definitions and proofs A comprehensive and annotated bibliography Appendices reviewing vector and matrix algebra, least upperbound principle, and equivalence relations An Instructor's Manual presenting detailed solutions to all theproblems in the book is available upon request from the Wileyeditorial department.