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Titlebook: Concepts & Images; Visual Mathematics Arthur L. Loeb Book 1993 Springer Science+Business Media New York 1993 design.mathematics.synergetics

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书目名称Concepts & Images
副标题Visual Mathematics
编辑Arthur L. Loeb
视频videohttp://file.papertrans.cn/235/234886/234886.mp4
丛书名称Design Science Collection
图书封面Titlebook: Concepts & Images; Visual Mathematics Arthur L. Loeb Book 1993 Springer Science+Business Media New York 1993 design.mathematics.synergetics
描述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 re
出版日期Book 1993
关键词design; mathematics; synergetics
版次1
doihttps://doi.org/10.1007/978-1-4612-0343-8
isbn_softcover978-1-4612-6716-4
isbn_ebook978-1-4612-0343-8
copyrightSpringer Science+Business Media New York 1993
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Topics in Dynamic Model Analysisbles in equation (17-5) as follows. Instead of . we shall define a variable . which equals +1 when . = ., and which equals −1 when . = .; its aymptotic values would be . = − 1 and . = + 1. We write . = . + . and will determine . and . such that . has the desired asymptotes:
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Dirichlet Domains,ions, defined such that any location within that region is closer to the center within its borders than to any other center. Such a region is called a Dirichlet domain, after a mathematician whose wife, incidently, was a sister of composer Felix Mendelssohn. Dirichlet domains are regions associated with arrays of discrete points.
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Lorne A. Campbell,Grant H. Palmerfound to equal ., then it will appear to assume that position 2π/. times during a complete rotation. The wheel will then be found to have (2π/.)-fold rotational symmetry; at the center of the hub there will be a (2π/.)-fold rotocenter.
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Introduction,re common to all spatial structures. That this grammar did not become obvious earlier is probably due to the fact that crystallographers, architects, mathematicians, visual artists and choreographers have worked on such different scales and in such varied idioms that they found it hard to communicate..
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