Download or read book Buildings and the Geometry of Diagrams written by Luigi A. Rosati and published by Springer. This book was released on 2006-11-14 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Buildings and the Geometry of Diagrams written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Buildings and the Geometry of Diagrams written by Saharon Shelah and published by . This book was released on 1986 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Buildings and the Geometry of Diagrams written by Centro internazionale matematico estivo. Session and published by . This book was released on 1986 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diagramming the Big Idea written by Jeffrey Balmer and published by Routledge. This book was released on 2019-02-04 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: Becoming an architect is a daunting task. Beyond the acquisition of new skills and procedures, beginning designers face an entirely unfamiliar mode of knowledge: design thinking. In Diagramming the Big Idea, Jeffrey Balmer and Michael T. Swisher introduce the fundamentals of design thinking by illustrating how architects make and use diagrams to clarify their understanding of both specific architectural projects and universal principles of form and order. With accessible, step-by-step procedures that interweave diagrams, drawings and virtual models, the authors demonstrate how to compose clear and revealing diagrams. Design thinking defines a method for engaging the world through observation and analysis. Beyond problem solving, design is a search for possibilities. Mastering design thinking begins with learning the fundamentals of visual composition. It embraces the ability to synthesize deductive and imaginative reasoning, combining both shrewd scrutiny and fevered speculation. Design diagrams make visible the abstractions that order the built environment. Premised upon the Beaux-Arts notion of the architectural parti, Balmer and Swisher adopt the ‘Big Idea’ as a foil and as a suitcase to organize fundamentals of architectural composition. The goal of this book is to make explicit to students what they are learning, why they are learning it and how to internalize such lessons toward their lifelong development as designers.
Download or read book Buildings written by Kenneth S. Brown and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: For years I have heard about buildings and their applications to group theory. I finally decided to try to learn something about the subject by teaching a graduate course on it at Cornell University in Spring 1987. This book is based on the not es from that course. The course started from scratch and proceeded at a leisurely pace. The book therefore does not get very far. Indeed, the definition of the term "building" doesn't even appear until Chapter IV. My hope, however, is that the book gets far enough to enable the reader to tadle the literat ure on buildings, some of which can seem very forbidding. Most of the results in this book are due to J. Tits, who originated the the ory of buildings. The main exceptions are Chapter I (which presents some classical material), Chapter VI (which prcsents joint work of F. Bruhat and Tits), and Chapter VII (which surveys some applications, due to var ious people). It has been a pleasure studying Tits's work; I only hope my exposition does it justice.
Download or read book Descent in Buildings AM 190 written by Bernhard Mühlherr and published by Princeton University Press. This book was released on 2015-09-22 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Descent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings. The authors then put their algebraic solution into a geometric context by developing a general fixed point theory for groups acting on buildings of arbitrary type, giving necessary and sufficient conditions for the residues fixed by a group to form a kind of subbuilding or "form" of the original building. At the center of this theory is the notion of a Tits index, a combinatorial version of the notion of an index in the relative theory of algebraic groups. These results are combined at the end to show that every exceptional Bruhat-Tits building arises as a form of a "residually pseudo-split" Bruhat-Tits building. The book concludes with a display of the Tits indices associated with each of these exceptional forms. This is the third and final volume of a trilogy that began with Richard Weiss' The Structure of Spherical Buildings and The Structure of Affine Buildings.
Download or read book Geometry in Architecture written by Clovis Heimsath and published by University of Texas Press. This book was released on 2002-07-15 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Geometry in Architecture, a revised edition of Pioneer Texas Buildings, juxtaposes the historic structures with works by twenty contemporary architects who are inspired by the pioneer tradition to show how seamlessly the basic geometries translate from one era to another. As in the earlier book, sketches and brief commentary by Clovis Heimsath explain how squares, triangles, and circles take shape in the cylindrical forms that comprise houses and other buildings. Then black and white photographs, the heart of the book, illustrate these geometric forms in historic and modern buildings."--BOOK JACKET.
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.
Download or read book Building Geometry and Drawing written by Frank Hilton and published by . This book was released on 1973 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Incidence Geometry written by Francis Buekenhout and published by North-Holland. This book was released on 1995 with total page 1440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hardbound. This Handbook deals with the foundations of incidence geometry, in relationship with division rings, rings, algebras, lattices, groups, topology, graphs, logic and its autonomous development from various viewpoints. Projective and affine geometry are covered in various ways. Major classes of rank 2 geometries such as generalized polygons and partial geometries are surveyed extensively.More than half of the book is devoted to buildings at various levels of generality, including a detailed and original introduction to the subject, a broad study of characterizations in terms of points and lines, applications to algebraic groups, extensions to topological geometry, a survey of results on diagram geometries and nearby generalizations such as matroids.
Download or read book The Geometry of Creation written by Robert Bork and published by Routledge. This book was released on 2016-12-05 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: The flowering of Gothic architecture depended to a striking extent on the use of drawing as a tool of design. By drawing precise "blueprints" with simple tools such as the compass and straightedge, Gothic draftsmen were able to develop a linearized architecture of unprecedented complexity and sophistication. Examination of their surviving drawings can provide valuable and remarkably intimate information about the Gothic design process. Gothic drawings include compass pricks, uninked construction lines, and other telltale traces of the draftsman's geometrically based working method. The proportions of the drawings, moreover, are those actually intended by the designer, uncompromised by errors introduced in the construction process. All of these features make these drawings ideal subjects for the study of Gothic design practice, but their geometry has to date received little systematic attention. This book offers a new perspective on Gothic architectural creativity. It shows, in a series of rigorous geometrical case studies, how Gothic design evolved over time, in two senses: in the hours of the draftsman's labor, and across the centuries of the late Middle Ages. In each case study, a series of computer graphics show in unprecedented detail how a medieval designer could have developed his architectural concept step by step, using only basic geometrical operations. Taken together, these analyses demonstrate both remarkable methodological continuity across the Gothic era, and the progressive development of new and sophisticated permutations on venerable design themes. This rich tradition ultimately gave way in the Renaissance not because of any inherent problem with Gothic architecture, but because the visual language of Classicism appealed more directly to the pretensions of Humanist princes than the more abstract geometrical order of Gothic design, as the book's final chapter demonstrates.
Download or read book A Text Book of Geometrical Drawing written by William Minifie and published by . This book was released on 1850 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Buildings of Spherical Type and Finite BN Pairs written by J. Tits and published by Springer. This book was released on 2009-02-05 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are a slightly revised and extended version of mim- graphed notes written on the occasion of a seminar on buildings and BN-pairs held at Oberwolfach in April 1968. Their main purpose is to present the solution of the following two problems: (A) Determination of the buildings of rank >; and irreducible, spherical type, other than ~ and H ("of spherical type" means "with finite Weyl 4 group", about the excluded types H, cf. the addenda on p. 274). Roughly speaking, those buildings all turn out to be associated to simple algebraic or classical groups (cf. 6. ;, 6. 1;, 8. 4. ;, 8. 22, 9. 1, 10. 2). An easy application provides the enumeration of all finite groups with BN-pairs of irreducible type and rank >;, up to normal subgroups contained in B (cf. 11. 7). (B) Determination of all isomorphisms between buildings of rank > 2 and spherical type associated to algebraic or classical simple groups and, in parti cular, description of the full automorphism groups of such buildings (cf. 5. 8, 5. 9, 5. 10, 6. 6, 6. 1;, 8. 6, 9. ;, 10. 4). Except for the appendices, the notes are rather strictly oriented - ward these goals.
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: No detailed description available for "Advances in Architectural Geometry 2010".
Download or read book Buildings Finite Geometries and Groups written by N.S. Narasimha Sastry and published by Springer Science & Business Media. This book was released on 2011-11-13 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the Proceedings of the ICM 2010 Satellite Conference on “Buildings, Finite Geometries and Groups” organized at the Indian Statistical Institute, Bangalore, during August 29 – 31, 2010. This is a collection of articles by some of the currently very active research workers in several areas related to finite simple groups, Chevalley groups and their generalizations: theory of buildings, finite incidence geometries, modular representations, Lie theory, etc. These articles reflect the current major trends in research in the geometric and combinatorial aspects of the study of these groups. The unique perspective the authors bring in their articles on the current developments and the major problems in their area is expected to be very useful to research mathematicians, graduate students and potential new entrants to these areas.
