Author: Kim Williams
Publisher: Springer Science & Business Media
ISBN: 3034803931
Category : Mathematics
Languages : en
Pages : 193
Book Description
The Winter 2012 (vol. 14 no. 1) issue of the Nexus Network Journal is dedicated to the theme “Architecture, Systems Research and Computational Sciences”. This is an outgrowth of the session by the same name which took place during the eighth international, interdisciplinary conference “Nexus 2010: Relationships between Architecture and Mathematics, held in Porto, Portugal, in June 2010. Today computer science is an integral part of even strictly historical investigations, such as those concerning the construction of vaults, where the computer is used to survey the existing building, analyse the data and draw the ideal solution. What the papers in this issue make especially evident is that information technology has had an impact at a much deeper level as well: architecture itself can now be considered as a manifestation of information and as a complex system. The issue is completed with other research papers, conference reports and book reviews.
Nexus Network Journal 14,1
Author: Kim Williams
Publisher: Springer Science & Business Media
ISBN: 3034803931
Category : Mathematics
Languages : en
Pages : 193
Book Description
The Winter 2012 (vol. 14 no. 1) issue of the Nexus Network Journal is dedicated to the theme “Architecture, Systems Research and Computational Sciences”. This is an outgrowth of the session by the same name which took place during the eighth international, interdisciplinary conference “Nexus 2010: Relationships between Architecture and Mathematics, held in Porto, Portugal, in June 2010. Today computer science is an integral part of even strictly historical investigations, such as those concerning the construction of vaults, where the computer is used to survey the existing building, analyse the data and draw the ideal solution. What the papers in this issue make especially evident is that information technology has had an impact at a much deeper level as well: architecture itself can now be considered as a manifestation of information and as a complex system. The issue is completed with other research papers, conference reports and book reviews.
Publisher: Springer Science & Business Media
ISBN: 3034803931
Category : Mathematics
Languages : en
Pages : 193
Book Description
The Winter 2012 (vol. 14 no. 1) issue of the Nexus Network Journal is dedicated to the theme “Architecture, Systems Research and Computational Sciences”. This is an outgrowth of the session by the same name which took place during the eighth international, interdisciplinary conference “Nexus 2010: Relationships between Architecture and Mathematics, held in Porto, Portugal, in June 2010. Today computer science is an integral part of even strictly historical investigations, such as those concerning the construction of vaults, where the computer is used to survey the existing building, analyse the data and draw the ideal solution. What the papers in this issue make especially evident is that information technology has had an impact at a much deeper level as well: architecture itself can now be considered as a manifestation of information and as a complex system. The issue is completed with other research papers, conference reports and book reviews.
Nexus Network Journal 10,2
Author: Kim Williams
Publisher: Springer Science & Business Media
ISBN: 3764387661
Category : Architecture
Languages : en
Pages : 167
Book Description
This volume features a collection of papers dedicated to "Canons of Form-Making", in honor of the 500th anniversary of the birth of architect Andrea Palladio (1508-1580). Theorist as well as practitioner, Palladio's architecture was based on well-defined canons that he had gleaned from studying the treatises as well as the remains of architecture from antiquity. Palladio himself left to posterity not only his large corpus of built works, but his Quattro libri d'architettura. Three of the papers in this issue are specifically about Palladio and his work. The other papers deal with canons of form-making, ancient and contemporary.
Publisher: Springer Science & Business Media
ISBN: 3764387661
Category : Architecture
Languages : en
Pages : 167
Book Description
This volume features a collection of papers dedicated to "Canons of Form-Making", in honor of the 500th anniversary of the birth of architect Andrea Palladio (1508-1580). Theorist as well as practitioner, Palladio's architecture was based on well-defined canons that he had gleaned from studying the treatises as well as the remains of architecture from antiquity. Palladio himself left to posterity not only his large corpus of built works, but his Quattro libri d'architettura. Three of the papers in this issue are specifically about Palladio and his work. The other papers deal with canons of form-making, ancient and contemporary.
The Fractal Dimension of Architecture
Author: Michael J. Ostwald
Publisher: Birkhäuser
ISBN: 3319324268
Category : Mathematics
Languages : en
Pages : 429
Book Description
Fractal analysis is a method for measuring, analysing and comparing the formal or geometric properties of complex objects. In this book it is used to investigate eighty-five buildings that have been designed by some of the twentieth-century’s most respected and celebrated architects. Including designs by Le Corbusier, Eileen Gray, Frank Lloyd Wright, Robert Venturi, Frank Gehry, Peter Eisenman, Richard Meier and Kazuyo Sejima amongst others, this book uses mathematics to analyse arguments and theories about some of the world’s most famous designs. Starting with 625 reconstructed architectural plans and elevations, and including more than 200 specially prepared views of famous buildings, this book presents the results of the largest mathematical study ever undertaken into architectural design and the largest single application of fractal analysis presented in any field. The data derived from this study is used to test three overarching hypotheses about social, stylistic and personal trends in design, along with five celebrated arguments about twentieth-century architecture. Through this process the book offers a unique mathematical insight into the history and theory of design.
Publisher: Birkhäuser
ISBN: 3319324268
Category : Mathematics
Languages : en
Pages : 429
Book Description
Fractal analysis is a method for measuring, analysing and comparing the formal or geometric properties of complex objects. In this book it is used to investigate eighty-five buildings that have been designed by some of the twentieth-century’s most respected and celebrated architects. Including designs by Le Corbusier, Eileen Gray, Frank Lloyd Wright, Robert Venturi, Frank Gehry, Peter Eisenman, Richard Meier and Kazuyo Sejima amongst others, this book uses mathematics to analyse arguments and theories about some of the world’s most famous designs. Starting with 625 reconstructed architectural plans and elevations, and including more than 200 specially prepared views of famous buildings, this book presents the results of the largest mathematical study ever undertaken into architectural design and the largest single application of fractal analysis presented in any field. The data derived from this study is used to test three overarching hypotheses about social, stylistic and personal trends in design, along with five celebrated arguments about twentieth-century architecture. Through this process the book offers a unique mathematical insight into the history and theory of design.
Disclosing Horizons
Author: Nicholas Temple
Publisher: Routledge
ISBN: 1134117086
Category : Architecture
Languages : en
Pages : 318
Book Description
Examines the influence of perspective on architecture, highlighting how critical changes in the representation and perception of space in history continue to inform the way architects design.
Publisher: Routledge
ISBN: 1134117086
Category : Architecture
Languages : en
Pages : 318
Book Description
Examines the influence of perspective on architecture, highlighting how critical changes in the representation and perception of space in history continue to inform the way architects design.
Stereotomy
Author: José Calvo-López
Publisher: Springer Nature
ISBN: 3030432181
Category : Mathematics
Languages : en
Pages : 740
Book Description
This book deals with the general concepts in stereotomy and its connection with descriptive geometry, the social background of its practitioners and theoreticians, the general methods and tools of this technology, and the specific procedures for the members built in hewn stone, including arches, squinches, stairs and vaults, ending with a chapter discussing the open problems in this field. Thus, it can be used as a reference book in the subject, but it can also read as a compelling narrative on this subject, one of the main branches of pre-industrial technology. Construction in hewn stone requires the use of geometrical methods and tools to assure that individual stones, either blocks or voussoirs, fit with one another and conform to the general shape of walls, arches or vaults. During the Late Middle Ages and the Renaissance, such techniques and instruments were developed empirically by masons and architects. Later on, learned mathematicians and engineers introduced refinements in these procedures and this branch of knowledge, known as stereotomy, furnished much material to descriptive geometry, a science born with the French Revolution which provided the foundation for projective geometry.
Publisher: Springer Nature
ISBN: 3030432181
Category : Mathematics
Languages : en
Pages : 740
Book Description
This book deals with the general concepts in stereotomy and its connection with descriptive geometry, the social background of its practitioners and theoreticians, the general methods and tools of this technology, and the specific procedures for the members built in hewn stone, including arches, squinches, stairs and vaults, ending with a chapter discussing the open problems in this field. Thus, it can be used as a reference book in the subject, but it can also read as a compelling narrative on this subject, one of the main branches of pre-industrial technology. Construction in hewn stone requires the use of geometrical methods and tools to assure that individual stones, either blocks or voussoirs, fit with one another and conform to the general shape of walls, arches or vaults. During the Late Middle Ages and the Renaissance, such techniques and instruments were developed empirically by masons and architects. Later on, learned mathematicians and engineers introduced refinements in these procedures and this branch of knowledge, known as stereotomy, furnished much material to descriptive geometry, a science born with the French Revolution which provided the foundation for projective geometry.
Archaeoastronomy
Author: Giulio Magli
Publisher: Springer Nature
ISBN: 303045147X
Category : Science
Languages : en
Pages : 271
Book Description
This is a second edition of a textbook that provides the first comprehensive, easy-to-read, and up-to-date account of the fascinating discipline of archaeoastronomy, in which the relationship between ancient constructions and the sky is studied in order to gain a better understanding of the ideas of the architects of the past and of their religious and symbolic worlds. The book is divided into three sections, the first of which explores the past relations between astronomy and people, power, the afterworld, architecture, and landscape. The second part then discusses in detail the fundamentals of archaeoastronomy, including the celestial coordinates; the apparent motion of the sun, moon, stars, and planets; observation of celestial bodies at the horizon; the use of astronomical software in archaeoastronomy; and current methods for making and analyzing measurements. The final section reviews what archaeoastronomy can now tell us about the nature and purpose of such sites and structures as Stonehenge, the Pyramids of Giza, Chichen Itza, the Angkor Temples, the Campus Martius, and the Valley of the Temples of Agrigento. In addition, it provides a set of exercises that can be performed using non-commercial free software, e.g., Google Earth and Stellarium, and that will equip readers to conduct their own research. This new edition features a completely new chapter on archaeoastronomy in Asia and an “augmented reality” framework, which on the one hand enhances the didactic value of the book using direct links to the relevant sections of the author’s MOOC (online) lessons and, on the other, allows readers to directly experience – albeit virtually –many of the spectacular archaeological sites described in the book. This is an ideal introduction to what has become a wide-ranging multidisciplinary science.
Publisher: Springer Nature
ISBN: 303045147X
Category : Science
Languages : en
Pages : 271
Book Description
This is a second edition of a textbook that provides the first comprehensive, easy-to-read, and up-to-date account of the fascinating discipline of archaeoastronomy, in which the relationship between ancient constructions and the sky is studied in order to gain a better understanding of the ideas of the architects of the past and of their religious and symbolic worlds. The book is divided into three sections, the first of which explores the past relations between astronomy and people, power, the afterworld, architecture, and landscape. The second part then discusses in detail the fundamentals of archaeoastronomy, including the celestial coordinates; the apparent motion of the sun, moon, stars, and planets; observation of celestial bodies at the horizon; the use of astronomical software in archaeoastronomy; and current methods for making and analyzing measurements. The final section reviews what archaeoastronomy can now tell us about the nature and purpose of such sites and structures as Stonehenge, the Pyramids of Giza, Chichen Itza, the Angkor Temples, the Campus Martius, and the Valley of the Temples of Agrigento. In addition, it provides a set of exercises that can be performed using non-commercial free software, e.g., Google Earth and Stellarium, and that will equip readers to conduct their own research. This new edition features a completely new chapter on archaeoastronomy in Asia and an “augmented reality” framework, which on the one hand enhances the didactic value of the book using direct links to the relevant sections of the author’s MOOC (online) lessons and, on the other, allows readers to directly experience – albeit virtually –many of the spectacular archaeological sites described in the book. This is an ideal introduction to what has become a wide-ranging multidisciplinary science.
Formulations
Author: Andrew Witt
Publisher: MIT Press
ISBN: 0262543001
Category : Architecture
Languages : en
Pages : 385
Book Description
An investigation of mathematics as it was drawn, encoded, imagined, and interpreted by architects on the eve of digitization in the mid-twentieth century. In Formulations, Andrew Witt examines the visual, methodological, and cultural intersections between architecture and mathematics. The linkages Witt explores involve not the mystic transcendence of numbers invoked throughout architectural history, but rather architecture’s encounters with a range of calculational systems—techniques that architects inventively retooled for design. Witt offers a catalog of mid-twentieth-century practices of mathematical drawing and calculation in design that preceded and anticipated digitization as well as an account of the formal compendia that became a cultural currency shared between modern mathematicians and modern architects. Witt presents a series of extensively illustrated “biographies of method”—episodes that chart the myriad ways in which mathematics, particularly the mathematical notion of modeling and drawing, was spliced into the creative practice of design. These include early drawing machines that mechanized curvature; the incorporation of geometric maquettes—“theorems made flesh”—into the toolbox of design; the virtualization of buildings and landscapes through surveyed triangulation and photogrammetry; formal and functional topology; stereoscopic drawing; the economic implications of cubic matrices; and a strange synthesis of the technological, mineral, and biological: crystallographic design. Trained in both architecture and mathematics, Witt uses mathematics as a lens through which to understand the relationship between architecture and a much broader set of sciences and visual techniques. Through an intercultural exchange with other disciplines, he argues, architecture adapted not only the shapes and surfaces of mathematics but also its values and epistemic ideals.
Publisher: MIT Press
ISBN: 0262543001
Category : Architecture
Languages : en
Pages : 385
Book Description
An investigation of mathematics as it was drawn, encoded, imagined, and interpreted by architects on the eve of digitization in the mid-twentieth century. In Formulations, Andrew Witt examines the visual, methodological, and cultural intersections between architecture and mathematics. The linkages Witt explores involve not the mystic transcendence of numbers invoked throughout architectural history, but rather architecture’s encounters with a range of calculational systems—techniques that architects inventively retooled for design. Witt offers a catalog of mid-twentieth-century practices of mathematical drawing and calculation in design that preceded and anticipated digitization as well as an account of the formal compendia that became a cultural currency shared between modern mathematicians and modern architects. Witt presents a series of extensively illustrated “biographies of method”—episodes that chart the myriad ways in which mathematics, particularly the mathematical notion of modeling and drawing, was spliced into the creative practice of design. These include early drawing machines that mechanized curvature; the incorporation of geometric maquettes—“theorems made flesh”—into the toolbox of design; the virtualization of buildings and landscapes through surveyed triangulation and photogrammetry; formal and functional topology; stereoscopic drawing; the economic implications of cubic matrices; and a strange synthesis of the technological, mineral, and biological: crystallographic design. Trained in both architecture and mathematics, Witt uses mathematics as a lens through which to understand the relationship between architecture and a much broader set of sciences and visual techniques. Through an intercultural exchange with other disciplines, he argues, architecture adapted not only the shapes and surfaces of mathematics but also its values and epistemic ideals.
Flatness
Author: B. W. Higman
Publisher: Reaktion Books
ISBN: 1780237766
Category : History
Languages : en
Pages : 266
Book Description
There are few truths about the modern world that are more self-evident than this: it is flat. We write on flat paper laid atop flat desks. We look at flat images on flat screens mounted on flat walls, or we press flat icons on flat phones while we navigate flat streets. Everywhere we go it seems the structures around us at one time or another had a level placed upon them to ensure they were perfectly flat. Yet such engineered planar surfaces have become so pervasive and fundamental to our lives that we barely notice their existence. In this highly original study, B. W. Higman employs a wide variety of approaches to better understand flatness, that level platform upon which the dramas of modern life have played out. Higman looks at the ways that humans have perceived the natural world around them, moving from Flat Earth theories to abstract geometric concepts to the flatness problem of modern cosmology. Along the way he shows that we have simultaneously sought flatness in our everyday lives and also disparaged it as a featureless, empty, and monotonous quality. He discusses the ways flatness figures as a metaphor for those things or people who are boring, dull, or lacking energy or inspiration, and he shows how the construction of flat surfaces has contributed to a degradation of visual diversity. At the same time, he also shows how we have pursued flatness as an engineering ideal and how we have used it conceptually in art, music, and literature. Written with wit and wisdom, and splendidly illustrated throughout, this book will appeal to all those who are interested in the topography of the modern world, to anyone who has ever marveled at the feel of its smooth surfaces or felt oppressed by the tyranny of its featurelessness.
Publisher: Reaktion Books
ISBN: 1780237766
Category : History
Languages : en
Pages : 266
Book Description
There are few truths about the modern world that are more self-evident than this: it is flat. We write on flat paper laid atop flat desks. We look at flat images on flat screens mounted on flat walls, or we press flat icons on flat phones while we navigate flat streets. Everywhere we go it seems the structures around us at one time or another had a level placed upon them to ensure they were perfectly flat. Yet such engineered planar surfaces have become so pervasive and fundamental to our lives that we barely notice their existence. In this highly original study, B. W. Higman employs a wide variety of approaches to better understand flatness, that level platform upon which the dramas of modern life have played out. Higman looks at the ways that humans have perceived the natural world around them, moving from Flat Earth theories to abstract geometric concepts to the flatness problem of modern cosmology. Along the way he shows that we have simultaneously sought flatness in our everyday lives and also disparaged it as a featureless, empty, and monotonous quality. He discusses the ways flatness figures as a metaphor for those things or people who are boring, dull, or lacking energy or inspiration, and he shows how the construction of flat surfaces has contributed to a degradation of visual diversity. At the same time, he also shows how we have pursued flatness as an engineering ideal and how we have used it conceptually in art, music, and literature. Written with wit and wisdom, and splendidly illustrated throughout, this book will appeal to all those who are interested in the topography of the modern world, to anyone who has ever marveled at the feel of its smooth surfaces or felt oppressed by the tyranny of its featurelessness.
Grammatical and Syntactical Approaches in Architecture: Emerging Research and Opportunities
Author: Lee, Ju Hyun
Publisher: IGI Global
ISBN: 1799817008
Category : Computers
Languages : en
Pages : 351
Book Description
Shape grammar and space syntax have been separately developed but rarely combined in any significant way. The first of these is typically used to investigate or generate the formal or geometric properties of architecture, while the second is used to analyze the spatial, topological, or social properties of architecture. Despite the reciprocal relationship between form and space in architecture—it is difficult to conceptualize a completed building without a sense of both of these properties—the two major computational theories have been largely developed and applied in isolation from each another. Grammatical and Syntactical Approaches in Architecture: Emerging Research and Opportunities is a critical scholarly resource that explores the relationship between shape grammar and space syntax for urban planning and architecture and enables the creative discovery of both the formal and spatial features of an architectural style or type. This book, furthermore, presents a new method to selectively capture aspects of both the grammar and syntax of architecture. Featuring a range of topics such as mathematical analysis, spatial configuration, and domestic architecture, this book is essential for architects, policymakers, urban planners, researchers, academicians, and students.
Publisher: IGI Global
ISBN: 1799817008
Category : Computers
Languages : en
Pages : 351
Book Description
Shape grammar and space syntax have been separately developed but rarely combined in any significant way. The first of these is typically used to investigate or generate the formal or geometric properties of architecture, while the second is used to analyze the spatial, topological, or social properties of architecture. Despite the reciprocal relationship between form and space in architecture—it is difficult to conceptualize a completed building without a sense of both of these properties—the two major computational theories have been largely developed and applied in isolation from each another. Grammatical and Syntactical Approaches in Architecture: Emerging Research and Opportunities is a critical scholarly resource that explores the relationship between shape grammar and space syntax for urban planning and architecture and enables the creative discovery of both the formal and spatial features of an architectural style or type. This book, furthermore, presents a new method to selectively capture aspects of both the grammar and syntax of architecture. Featuring a range of topics such as mathematical analysis, spatial configuration, and domestic architecture, this book is essential for architects, policymakers, urban planners, researchers, academicians, and students.
Statics of Historic Masonry Constructions
Author: Mario Como
Publisher: Springer
ISBN: 3319547380
Category : Science
Languages : en
Pages : 661
Book Description
Masonry constructions are the great majority of the buildings in Europe’s historic centres and the most important monuments of its architectural heritage. Given the age of these constructions, the demand for safety assessments and restoration projects is pressing and constant; still within the broad studies in the subject it is not yet recognised, in particular within the seismic area, a unitary approach to deal with Masonry structures. This successful book contributes to clarify the issues with a rigorous approach offering a comprehensive new Statics of Masonry Constructions. This third edition has been driven by some recent developments of the research in the field, and it gives the fundamentals of Statics with an original and rigorous mathematical formulation, further in-depth inquired in this new version. With many refinements and improvements, the book investigates the static behaviour of many historic monuments, such as the Gothic Cathedrals, the Mycenaean Tholoi, the Pantheon, the Colosseum, the domes of Santa Maria del Fiore in Florence and St Peter’s in Rome, as well as the Leaning Tower of Pisa. The last chapter – the 11th - regarding the behaviour of masonry buildings under seismic actions, has been modified and integrated in order to take into account the numerous recent achievements of the research in the dynamic and seismic analysis. The focal point is that there’s no dissipation of energy during the deformation of masonry structures, even if accompanied by cracks. If properly reinforced, masonry constructions have the sole resource to escape the seismic action developing the rocking without failure, under alternate seismic action. In this context, the rocking of pier walls, the main resistant components of the masonry structure, has been here thoroughly examined. Furthermore, the out of plane and the in-plane seismic strengths of masonry walls with openings has been investigated within the framework of Limit Analysis. Through an interdisciplinary approach, involving Mathematics, Engineering and Architecture, this book highlights the tight connection existing between the Statics of Masonry constructions and the principles that ruled the history of constructions, since the beginnings as far as the Seventeenth century.
Publisher: Springer
ISBN: 3319547380
Category : Science
Languages : en
Pages : 661
Book Description
Masonry constructions are the great majority of the buildings in Europe’s historic centres and the most important monuments of its architectural heritage. Given the age of these constructions, the demand for safety assessments and restoration projects is pressing and constant; still within the broad studies in the subject it is not yet recognised, in particular within the seismic area, a unitary approach to deal with Masonry structures. This successful book contributes to clarify the issues with a rigorous approach offering a comprehensive new Statics of Masonry Constructions. This third edition has been driven by some recent developments of the research in the field, and it gives the fundamentals of Statics with an original and rigorous mathematical formulation, further in-depth inquired in this new version. With many refinements and improvements, the book investigates the static behaviour of many historic monuments, such as the Gothic Cathedrals, the Mycenaean Tholoi, the Pantheon, the Colosseum, the domes of Santa Maria del Fiore in Florence and St Peter’s in Rome, as well as the Leaning Tower of Pisa. The last chapter – the 11th - regarding the behaviour of masonry buildings under seismic actions, has been modified and integrated in order to take into account the numerous recent achievements of the research in the dynamic and seismic analysis. The focal point is that there’s no dissipation of energy during the deformation of masonry structures, even if accompanied by cracks. If properly reinforced, masonry constructions have the sole resource to escape the seismic action developing the rocking without failure, under alternate seismic action. In this context, the rocking of pier walls, the main resistant components of the masonry structure, has been here thoroughly examined. Furthermore, the out of plane and the in-plane seismic strengths of masonry walls with openings has been investigated within the framework of Limit Analysis. Through an interdisciplinary approach, involving Mathematics, Engineering and Architecture, this book highlights the tight connection existing between the Statics of Masonry constructions and the principles that ruled the history of constructions, since the beginnings as far as the Seventeenth century.