Author: Michele Emmer
Publisher: MIT Press
ISBN: 9780262050760
Category : Art
Languages : en
Pages : 742
Book Description
"This collection of essays by artists and mathematicians continues the discussion of the connections between art and mathematics begun in the widely read first volume of The Visual Mind in 1993."--BOOK JACKET.
The Visual Mind II
Earth and Mind II
Author: Kim A. Kastens
Publisher: Geological Society of America
ISBN: 0813724864
Category : Science
Languages : en
Pages : 224
Book Description
Articles refer to teaching at various different levels from kindergarten to graduate school, with sections on teaching: geologic time, space, complex systems, and field-work. Each section includes an introduction, a thematic paper, and commentaries.
Publisher: Geological Society of America
ISBN: 0813724864
Category : Science
Languages : en
Pages : 224
Book Description
Articles refer to teaching at various different levels from kindergarten to graduate school, with sections on teaching: geologic time, space, complex systems, and field-work. Each section includes an introduction, a thematic paper, and commentaries.
Computational Symmetry in Computer Vision and Computer Graphics
Author: Yanxi Liu
Publisher: Now Publishers Inc
ISBN: 1601983646
Category : Computers
Languages : en
Pages : 209
Book Description
In the arts and sciences, as well as in our daily lives, symmetry has made a profound and lasting impact. Likewise, a computational treatment of symmetry and group theory (the ultimate mathematical formalization of symmetry) has the potential to play an important role in computational sciences. Though the term Computational Symmetry was formally defined a decade ago by the first author, referring to algorithmic treatment of symmetries, seeking symmetry from digital data has been attempted for over four decades. Computational symmetry on real world data turns out to be challenging enough that, after decades of effort, a fully automated symmetry-savvy system remains elusive for real world applications. The recent resurging interests in computational symmetry for computer vision and computer graphics applications have shown promising results. Recognizing the fundamental relevance and potential power that computational symmetry affords, we offer this survey to the computer vision and computer graphics communities. This survey provides a succinct summary of the relevant mathematical theory, a historic perspective of some important symmetry-related ideas, a partial yet timely report on the state of the arts symmetry detection algorithms along with its first quantitative benchmark, a diverse set of real world applications, suggestions for future directions and a comprehensive reference list.
Publisher: Now Publishers Inc
ISBN: 1601983646
Category : Computers
Languages : en
Pages : 209
Book Description
In the arts and sciences, as well as in our daily lives, symmetry has made a profound and lasting impact. Likewise, a computational treatment of symmetry and group theory (the ultimate mathematical formalization of symmetry) has the potential to play an important role in computational sciences. Though the term Computational Symmetry was formally defined a decade ago by the first author, referring to algorithmic treatment of symmetries, seeking symmetry from digital data has been attempted for over four decades. Computational symmetry on real world data turns out to be challenging enough that, after decades of effort, a fully automated symmetry-savvy system remains elusive for real world applications. The recent resurging interests in computational symmetry for computer vision and computer graphics applications have shown promising results. Recognizing the fundamental relevance and potential power that computational symmetry affords, we offer this survey to the computer vision and computer graphics communities. This survey provides a succinct summary of the relevant mathematical theory, a historic perspective of some important symmetry-related ideas, a partial yet timely report on the state of the arts symmetry detection algorithms along with its first quantitative benchmark, a diverse set of real world applications, suggestions for future directions and a comprehensive reference list.
Mathematical Modeling, Simulation, Visualization and e-Learning
Author: Dialla Konaté
Publisher: Springer Science & Business Media
ISBN: 3540743391
Category : Mathematics
Languages : en
Pages : 365
Book Description
This book features articles written by some of the most prominent leading applied mathematicians as well as young and promising ones. The common objective of these articles is to present an important issue which is currently widely discussed in scientific investigation with major human, economic or ecological implications. Each article is as deep as an expert lecture but is also self-contained, so that even isolated scientists with limited resources can profit greatly from it.
Publisher: Springer Science & Business Media
ISBN: 3540743391
Category : Mathematics
Languages : en
Pages : 365
Book Description
This book features articles written by some of the most prominent leading applied mathematicians as well as young and promising ones. The common objective of these articles is to present an important issue which is currently widely discussed in scientific investigation with major human, economic or ecological implications. Each article is as deep as an expert lecture but is also self-contained, so that even isolated scientists with limited resources can profit greatly from it.
The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition
Author: Linda Dalrymple Henderson
Publisher: MIT Press
ISBN: 0262536552
Category : Art
Languages : en
Pages : 759
Book Description
The long-awaited new edition of a groundbreaking work on the impact of alternative concepts of space on modern art. In this groundbreaking study, first published in 1983 and unavailable for over a decade, Linda Dalrymple Henderson demonstrates that two concepts of space beyond immediate perception—the curved spaces of non-Euclidean geometry and, most important, a higher, fourth dimension of space—were central to the development of modern art. The possibility of a spatial fourth dimension suggested that our world might be merely a shadow or section of a higher dimensional existence. That iconoclastic idea encouraged radical innovation by a variety of early twentieth-century artists, ranging from French Cubists, Italian Futurists, and Marcel Duchamp, to Max Weber, Kazimir Malevich, and the artists of De Stijl and Surrealism. In an extensive new Reintroduction, Henderson surveys the impact of interest in higher dimensions of space in art and culture from the 1950s to 2000. Although largely eclipsed by relativity theory beginning in the 1920s, the spatial fourth dimension experienced a resurgence during the later 1950s and 1960s. In a remarkable turn of events, it has returned as an important theme in contemporary culture in the wake of the emergence in the 1980s of both string theory in physics (with its ten- or eleven-dimensional universes) and computer graphics. Henderson demonstrates the importance of this new conception of space for figures ranging from Buckminster Fuller, Robert Smithson, and the Park Place Gallery group in the 1960s to Tony Robbin and digital architect Marcos Novak.
Publisher: MIT Press
ISBN: 0262536552
Category : Art
Languages : en
Pages : 759
Book Description
The long-awaited new edition of a groundbreaking work on the impact of alternative concepts of space on modern art. In this groundbreaking study, first published in 1983 and unavailable for over a decade, Linda Dalrymple Henderson demonstrates that two concepts of space beyond immediate perception—the curved spaces of non-Euclidean geometry and, most important, a higher, fourth dimension of space—were central to the development of modern art. The possibility of a spatial fourth dimension suggested that our world might be merely a shadow or section of a higher dimensional existence. That iconoclastic idea encouraged radical innovation by a variety of early twentieth-century artists, ranging from French Cubists, Italian Futurists, and Marcel Duchamp, to Max Weber, Kazimir Malevich, and the artists of De Stijl and Surrealism. In an extensive new Reintroduction, Henderson surveys the impact of interest in higher dimensions of space in art and culture from the 1950s to 2000. Although largely eclipsed by relativity theory beginning in the 1920s, the spatial fourth dimension experienced a resurgence during the later 1950s and 1960s. In a remarkable turn of events, it has returned as an important theme in contemporary culture in the wake of the emergence in the 1980s of both string theory in physics (with its ten- or eleven-dimensional universes) and computer graphics. Henderson demonstrates the importance of this new conception of space for figures ranging from Buckminster Fuller, Robert Smithson, and the Park Place Gallery group in the 1960s to Tony Robbin and digital architect Marcos Novak.
Aesthetics of Interdisciplinarity: Art and Mathematics
Author: Kristóf Fenyvesi
Publisher: Birkhäuser
ISBN: 3319572598
Category : Mathematics
Languages : en
Pages : 297
Book Description
This anthology fosters an interdisciplinary dialogue between the mathematical and artistic approaches in the field where mathematical and artistic thinking and practice merge. The articles included highlight the most significant current ideas and phenomena, providing a multifaceted and extensive snapshot of the field and indicating how interdisciplinary approaches are applied in the research of various cultural and artistic phenomena. The discussions are related, for example, to the fields of aesthetics, anthropology, art history, art theory, artistic practice, cultural studies, ethno-mathematics, geometry, mathematics, new physics, philosophy, physics, study of visual illusions, and symmetry studies. Further, the book introduces a new concept: the interdisciplinary aesthetics of mathematical art, which the editors use to explain the manifold nature of the aesthetic principles intertwined in these discussions.
Publisher: Birkhäuser
ISBN: 3319572598
Category : Mathematics
Languages : en
Pages : 297
Book Description
This anthology fosters an interdisciplinary dialogue between the mathematical and artistic approaches in the field where mathematical and artistic thinking and practice merge. The articles included highlight the most significant current ideas and phenomena, providing a multifaceted and extensive snapshot of the field and indicating how interdisciplinary approaches are applied in the research of various cultural and artistic phenomena. The discussions are related, for example, to the fields of aesthetics, anthropology, art history, art theory, artistic practice, cultural studies, ethno-mathematics, geometry, mathematics, new physics, philosophy, physics, study of visual illusions, and symmetry studies. Further, the book introduces a new concept: the interdisciplinary aesthetics of mathematical art, which the editors use to explain the manifold nature of the aesthetic principles intertwined in these discussions.
Studies in Philosophical Realism in Art, Design and Education
Author: Neil C. M. Brown
Publisher: Springer
ISBN: 331942906X
Category : Education
Languages : en
Pages : 303
Book Description
This book fills a gap in the literature of 21st century international visual arts education by providing a structured approach to understanding the benefits of Philosophical Realism in art education, an approach that has received little international attention until now. The framework as presented provides a powerful interface between research and practical reconceptualisations of critical issues and practice in the domains of art, design, and education that involve implications for curriculum in visual arts, teaching and learning, cognitive development, and creativity. The book extends understanding of Philosophical Realism in its practical application to teaching practice in visual arts in the way it relates to the fields of art, design, and education. Researchers, teacher educators and specialist art teachers are informed about how Philosophical Realism provides insights into art, design, and education. These insights vary from clearer knowledge about art to the examination of beliefs and assumptions about the art object. Readers learn how cognitive reflection, and social and practical reasoning in the classroom help cultivate students’ artistic performances, and understand how constraints function in students’ reasoning at different ages/stages of education.
Publisher: Springer
ISBN: 331942906X
Category : Education
Languages : en
Pages : 303
Book Description
This book fills a gap in the literature of 21st century international visual arts education by providing a structured approach to understanding the benefits of Philosophical Realism in art education, an approach that has received little international attention until now. The framework as presented provides a powerful interface between research and practical reconceptualisations of critical issues and practice in the domains of art, design, and education that involve implications for curriculum in visual arts, teaching and learning, cognitive development, and creativity. The book extends understanding of Philosophical Realism in its practical application to teaching practice in visual arts in the way it relates to the fields of art, design, and education. Researchers, teacher educators and specialist art teachers are informed about how Philosophical Realism provides insights into art, design, and education. These insights vary from clearer knowledge about art to the examination of beliefs and assumptions about the art object. Readers learn how cognitive reflection, and social and practical reasoning in the classroom help cultivate students’ artistic performances, and understand how constraints function in students’ reasoning at different ages/stages of education.
Architecture and Mathematics from Antiquity to the Future
Author: Kim Williams
Publisher: Birkhäuser
ISBN: 3319001434
Category : Mathematics
Languages : en
Pages : 680
Book Description
Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals. Volume II covers architecture from the Late Renaissance era, through Baroque, Ottoman, Enlightenment, Modern and contemporary styles and approaches. Key figures covered in this volume include Palladio, Michelangelo, Borromini, Sinan, Wren, Wright, Le Corbusier, Breuer, Niemeyer and Kahn. Mathematical themes which are considered include linear algebra, tiling and fractals and the geographic span of the volume’s content includes works in the United States of America and Australia, in addition to those in Europe and Asia.
Publisher: Birkhäuser
ISBN: 3319001434
Category : Mathematics
Languages : en
Pages : 680
Book Description
Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals. Volume II covers architecture from the Late Renaissance era, through Baroque, Ottoman, Enlightenment, Modern and contemporary styles and approaches. Key figures covered in this volume include Palladio, Michelangelo, Borromini, Sinan, Wren, Wright, Le Corbusier, Breuer, Niemeyer and Kahn. Mathematical themes which are considered include linear algebra, tiling and fractals and the geographic span of the volume’s content includes works in the United States of America and Australia, in addition to those in Europe and Asia.
Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries
Author: Paulus Gerdes
Publisher: Lulu.com
ISBN: 1435726294
Category : Art
Languages : en
Pages : 204
Book Description
The book "Lunda Geometry" explains how the mathematical concepts of mirror curves and Lunda-designs were discovered in the context of the author's research of 'sona', illustrations traditionally made in the sand by Cokwe storytellers from eastern Angola (a region called Lunda) and neighboring regions of Congo and Zambia. Examples of mirror curves from several cultures are presented. Lunda-designs are aesthetically attractive and display interesting symmetry properties. Examples of Lunda-patterns and Lunda-polyominoes are presented. Some generalizations of the concept of Lunda-design are discussed, like hexagonal Lunda-designs, Lunda-k-designs, Lunda-fractals, and circular Lunda-designs. Lunda-designs of Celtic knot designs are constructed.Several chapters were published in journals like 'Computers & Graphics' (Oxford), 'Visual Mathematics' (Belgrade), and 'Mathematics in School' (UK).
Publisher: Lulu.com
ISBN: 1435726294
Category : Art
Languages : en
Pages : 204
Book Description
The book "Lunda Geometry" explains how the mathematical concepts of mirror curves and Lunda-designs were discovered in the context of the author's research of 'sona', illustrations traditionally made in the sand by Cokwe storytellers from eastern Angola (a region called Lunda) and neighboring regions of Congo and Zambia. Examples of mirror curves from several cultures are presented. Lunda-designs are aesthetically attractive and display interesting symmetry properties. Examples of Lunda-patterns and Lunda-polyominoes are presented. Some generalizations of the concept of Lunda-design are discussed, like hexagonal Lunda-designs, Lunda-k-designs, Lunda-fractals, and circular Lunda-designs. Lunda-designs of Celtic knot designs are constructed.Several chapters were published in journals like 'Computers & Graphics' (Oxford), 'Visual Mathematics' (Belgrade), and 'Mathematics in School' (UK).
Mathematics, Art, Technology and Cinema
Author: MIRELLA MANARESI
Publisher: Springer Science & Business Media
ISBN: 9783540006015
Category : Mathematics
Languages : en
Pages : 260
Book Description
This book is about mathematics. But also about art, technology and images. And above all, about cinema, which in the past years, together with theater, has discovered mathematics and mathematicians. It was conceived as a contribution to the World Year on Mathematics. The authors argue that the discussion about the differences between the so called two cultures of science and humanism is a thing of the past. They hold that both cultures are truly linked through ideas and creativity, not only through technology. In doing so, they succeed in reaching out to non-mathematicians, and those who are not particularly fond of mathematics. An insightful book for mathematicians, film lovers, those who feel passionate about images, and those with a questioning mind.
Publisher: Springer Science & Business Media
ISBN: 9783540006015
Category : Mathematics
Languages : en
Pages : 260
Book Description
This book is about mathematics. But also about art, technology and images. And above all, about cinema, which in the past years, together with theater, has discovered mathematics and mathematicians. It was conceived as a contribution to the World Year on Mathematics. The authors argue that the discussion about the differences between the so called two cultures of science and humanism is a thing of the past. They hold that both cultures are truly linked through ideas and creativity, not only through technology. In doing so, they succeed in reaching out to non-mathematicians, and those who are not particularly fond of mathematics. An insightful book for mathematicians, film lovers, those who feel passionate about images, and those with a questioning mind.