Space Structures--their Harmony and Counterpoint
Title | Space Structures--their Harmony and Counterpoint PDF eBook |
Author | Arthur Lee Loeb |
Publisher | |
Pages | 202 |
Release | 1976 |
Genre | Mathematics |
ISBN |
Space Structures ; Their Harmony and Counterpoint
Title | Space Structures ; Their Harmony and Counterpoint PDF eBook |
Author | Arthur Lee Loeb |
Publisher | |
Pages | 169 |
Release | 1976 |
Genre | Polyhedra |
ISBN |
Space Structures--their Harmony and Counterpoint
Title | Space Structures--their Harmony and Counterpoint PDF eBook |
Author | Arthur Lee Loeb |
Publisher | |
Pages | 196 |
Release | 1976 |
Genre | Mathematics |
ISBN |
Space Structures
Title | Space Structures PDF eBook |
Author | A. Loeb |
Publisher | Springer Science & Business Media |
Pages | 202 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461204372 |
xiv aggregates: this touches on the very nature of things. The concept of statistical symmetry which Loeb develops is particularly important, it emphasizes the limitations in seemingly random aggregates and for permits general statements of which the crystallographer's sym metries are only special cases. The reductionist and holistic approaches to the world have been at war with each other since the times of the Greek philosophers and before. In nature, parts clearly do fit together into real structures, and the parts are affected by their environment. The problem is one of understanding. The mystery that remains lies largely in the nature of structural hierarchy, for the human mind can examine nature on many different scales sequentially but not simultaneously. Arthur Loeb's monograph is a fundamental one, but one can sense a devel opment from the relations between his zero-and three-dimensional cells to the far more complex world of organisms and concepts. It is structure that makes the difference between a cornfield and a cake, between an aggregate of cells and a human being, between a random group of human beings and a society. We can perceive anything only when we perceive its structure, and we think by structural analogy and comparison. Several books have been published showing the beauty of form in nature. This one has the beauty of a work of art, but it grows out of rigorous mathematics and from the simplest of bases-dimensional ity, extent and valency.
Connections: The Geometric Bridge Between Art & Science (2nd Edition)
Title | Connections: The Geometric Bridge Between Art & Science (2nd Edition) PDF eBook |
Author | Jay Kappraff |
Publisher | World Scientific |
Pages | 519 |
Release | 2001-11-28 |
Genre | Mathematics |
ISBN | 9814491322 |
The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in “Mathematics, Chemistry, and Astronomy — Professional and Reference” in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition.
Connections
Title | Connections PDF eBook |
Author | Jay Kappraff |
Publisher | World Scientific |
Pages | 528 |
Release | 2001 |
Genre | Science |
ISBN | 9789812811394 |
The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in OC Mathematics, Chemistry, and Astronomy OCo Professional and ReferenceOCO in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition. Contents: Proportion in Architecture; Similarity; The Golden Mean; Graphs; Tilings with Polygons; Two-Dimensional Networks and Lattices; Polyhedra: Platonic Solids; Transformation of the Platonic Solids I; Transformation of the Platonic Solids II; Polyhedra: Space Filling; Isometries and Mirrors; Symmetry of the Plane. Readership: Polytechnic students, architects, designers, mathematicians and general readers."
Beyond the Cube
Title | Beyond the Cube PDF eBook |
Author | Jean-François Gabriel |
Publisher | John Wiley & Sons |
Pages | 554 |
Release | 1997-08-12 |
Genre | Architecture |
ISBN | 9780471122616 |
Diese Sammlung von Beitragen anerkannter Autoren zur Architektur, die uber den Quader hinausgeht, ist das einzige derzeit am Markt befindliche Referenzwerk auf diesem Gebiet. Theoretische und praktische Aspekte der Konstruktion von Vielflachnern und raumlichen Gebilden werden anhand von uber 480 Zeichnungen und zahlreichen Fotographien anschaulich erlautert. (02/98)