space structures design science collection

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Space Structures

Author : A. Loeb
ISBN : 9781461204374
Genre : Mathematics
File Size : 78. 64 MB
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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.

Concepts Images

Author : Arthur Loeb
ISBN : 9781461203438
Genre : Mathematics
File Size : 28. 2 MB
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1. Introduction . 1 2. Areas and Angles . . 6 3. Tessellations and Symmetry 14 4. The Postulate of Closest Approach 28 5. The Coexistence of Rotocenters 36 6. A Diophantine Equation and its Solutions 46 7. Enantiomorphy. . . . . . . . 57 8. Symmetry Elements in the Plane 77 9. Pentagonal Tessellations . 89 10. Hexagonal Tessellations 101 11. Dirichlet Domain 106 12. Points and Regions 116 13. A Look at Infinity . 122 14. An Irrational Number 128 15. The Notation of Calculus 137 16. Integrals and Logarithms 142 17. Growth Functions . . . 149 18. Sigmoids and the Seventh-year Trifurcation, a Metaphor 159 19. Dynamic Symmetry and Fibonacci Numbers 167 20. The Golden Triangle 179 21. Quasi Symmetry 193 Appendix I: Exercise in Glide Symmetry . 205 Appendix II: Construction of Logarithmic Spiral . 207 Bibliography . 210 Index . . . . . . . . . . . . . . . . . . . . 225 Concepts and Images is the result of twenty years of teaching at Harvard's Department of Visual and Environmental Studies in the Carpenter Center for the Visual Arts, a department devoted to turning out students articulate in images much as a language department teaches reading and expressing one self in words. It is a response to our students' requests for a "handout" and to l our colleagues' inquiries about the courses : Visual and Environmental Studies 175 (Introduction to Design Science), YES 176 (Synergetics, the Structure of Ordered Space), Studio Arts 125a (Design Science Workshop, Two-Dimension al), Studio Arts 125b (Design Science Workshop, Three-Dimensional),2 as well as my freshman seminars on Structure in Science and Art.

An Anthology Of Structural Morphology

Author : Rene Motro
ISBN : 9789812837219
Genre : Technology & Engineering
File Size : 47. 24 MB
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The structural morphology working group of the International Association for Shell and Spatial Structures, founded in 1991, has helped to launch several international seminars, newsletters and specific sessions of international conferences devoted to structural morphology. This book contains papers that have been selected either for their fundamental contribution to structural morphology or for their actual pertinence in the field. Polyhedral geometry, double-curved surfaces, biological structures, foldable systems, form-finding techniques, and free form design are some of the topics included in the contents of this book. The work presented in this book is the result of more than 15 years of study by researchers, engineers, mathematicians, and architects, who thought that conceptual design would benefit from the association of separate fields (geometry, biology, and mechanics) in a holistic process. Every aspect of structural morphology is illustrated by one or more chapters of the book. As far as we know, there are few books OCo perhaps none OCo that gather all aspects of structural morphology, even if, for instance, there are many books on the geometry of polyhedra. Furthermore, readers will have access to a large list of selected references, which will open the scope of their bibliography. Sample Chapter(s). Chapter 1: The First 13 Years of Structural Morphology Group OCo A Personal View (2,623 KB). Contents: The First 13 Years of Structural Morphology Group OCo A Personal View (T Wester); An Approach to Structural Morphology (R Motro); The Structural Morphology of Curved Diaphragms OCo Or the Structural Behavior of Floral Polyhedra (T Wester); Polyhedroids (P Huybers); Novational Transformations (H Nooshin et al.); Some Structural-Morphological Aspects of Deployable Structures for Space Enclosures (A Hanaor); Phantasy in Space: On Human Feeling Between the Shapes of the World and How to Look on Natural Structures (M Balz); An Expandable Dodecahedron (K Flriin & T Tabor); Examples of Geometrical Reverse Engineering: Designing from Models and/or Under Geometrical Constraints (K Linkwitz); Crystalline Architecture (A L Loeb); Flat Grids Designs Employing the Swivel Diaphragm (C Rodriguez et al.); Form Optimizing in Biological Structures OCo The Morphology of Sea Shells (E Stach); Expandable OCyBlobOCO Structures (F Jensen & S Pellegrino). Readership: Advanced undergraduates and graduate students in mechanics, civil engineering, architecture and design; architects; engineers."

Shaping Space

Author : Marjorie Senechal
ISBN : PSU:000016219359
Genre : Mathematics
File Size : 61. 7 MB
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Fractal Geometry In Architecture And Design

Author : Carl Bovill
ISBN : 9781461208433
Genre : Mathematics
File Size : 34. 4 MB
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na broad sense Design Science is the grammar of a language of images Irather than of words. Modern communication techniques enable us to transmit and reconstitute images without needing to know a specific verbal sequence language such as the Morse code or Hungarian. International traffic signs use international image symbols which are not specific to any particular verbal language. An image language differs from a verbal one in that the latter uses a linear string of symbols, whereas the former is multi dimensional. Architectural renderings commonly show projections onto three mutual ly perpendicular planes, or consist of cross sections at different altitudes capa ble of being stacked and representing different floor plans. Such renderings make it difficult to imagine buildings comprising ramps and other features which disguise the separation between floors, and consequently limit the cre ative process of the architect. Analogously, we tend to analyze natural struc tures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures. Perception is a complex process. Our senses record; they are analogous to audio or video devices. We cannot, however, claim that such devices perceive.

Global Perspectives On Design Science Research

Author : Robert Winter
ISBN : 9783642133343
Genre : Computers
File Size : 45. 86 MB
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The LNCS series reports state-of-the-art results in computer science research, development, and education, at a high level and in both printed and electronic form. Enjoying tight cooperation with the R&D community, with numerous individuals, as well as with prestigious organizations and societies, LNCS has grown into the most comprehensive computer science research forum available. The scope of LNCS, including its subseries LNAI and LNBI, spans the whole range of computer science and information technology including interdisciplinary topics in a variety of application fields. The type of material published traditionally includes -proceedings (published in time for the respective conference) -post-proceedings (consisting of thoroughly revised final full papers) -research monographs (which may be based on outstanding PhD work, research projects, technical reports, etc.) More recently, several color-cover sublines have been added featuring, beyond a collection of papers, various added-value components; these sublines include -tutorials (textbook-like monographs or collections of lectures given at advanced courses) -state-of-the-art surveys (offering complete and mediated coverage of a topic) -hot topics (introducing emergent topics to the broader community)

On Aesthetics In Science

ISBN : 0817633790
Genre : Science
File Size : 73. 52 MB
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