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Titlebook: Complex Symmetries; Gy?rgy Darvas Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Sw

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發(fā)表于 2025-3-21 16:16:04 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Complex Symmetries
編輯Gy?rgy Darvas
視頻videohttp://file.papertrans.cn/232/231546/231546.mp4
概述Existing books focus on objects (with symmetry properties) this book analyses the symmetry properties themselves.Provides a wide scope on the application of composite symmetries in an iterdisciplinary
圖書(shū)封面Titlebook: Complex Symmetries; Gy?rgy Darvas Book 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Sw
描述.This volume is a collection of essays on complex symmetries. It is curated, emphasizing the analysis of the symmetries, not the various phenomena that display those symmetries themselves. With this, the volume provides insight to nonspecialist readers into how individual simple symmetries constitute complex symmetry. The authors and the topics cover many different disciplines in various sciences and arts...Simple symmetries, such as reflection, rotation, translation, similitude, and a few other simple manifestations of the phenomenon, are all around, and we are aware of them in our everyday lives. However, there are myriads of complex symmetries (composed of a bulk of simple symmetries) as well. For example, the well-known helix represents the combination of translational and rotational symmetry. Nature produces a great variety of such complex symmetries. So do the arts...The contributions in this volume analyse selected examples (not limited to geometric symmetries).These include physical symmetries, functional (meaning not morphological) symmetries, such as symmetries in the construction of the genetic code, symmetries in human perception (e.g., in geometry education as well as
出版日期Book 2021
關(guān)鍵詞symmetry; complexity; complex (composite) symmetries; symmetry transformations; invariance under transfo
版次1
doihttps://doi.org/10.1007/978-3-030-88059-0
isbn_softcover978-3-030-88061-3
isbn_ebook978-3-030-88059-0
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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發(fā)表于 2025-3-22 00:01:22 | 只看該作者
Dilative Rotation, Dilative Reflection in Mathematics, Nature, Art, and Education,ird part, building on the teaching experiences of the authors, we give a summary of composite symmetries on different levels of education, occurring usually only implicitly, and propose some more possibilities that can be used in or outside of class.
板凳
發(fā)表于 2025-3-22 00:23:32 | 只看該作者
https://doi.org/10.1057/9781403919458 the solution space to reveal the three aspects: the golden ratio, the Fibonacci sequence and the Pythagorean Theorem. The path to the solution is explained from the starting point of collecting the data, by way of finding the invariants and to the goal of deriving the laws governing the solution space.
地板
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發(fā)表于 2025-3-22 10:07:23 | 只看該作者
Barry McLoughlin,Kevin McDermottion game with cardboard boxes of different shapes and their covers, accompanied by the verbalisation of the entire experience. Thus, elements of translational and rotational symmetries combined together are used to teach abstraction for building interdisciplinary scientific knowledge.
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發(fā)表于 2025-3-22 15:17:38 | 只看該作者
,The Great Terror in the Ukraine, 1936–38,. The numeric representation of some genetic matrices is associated with the golden ratio, which has long been disclosed in the sciences for the characterisation of biological symmetries and aesthetics of proportions.
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發(fā)表于 2025-3-22 20:10:36 | 只看該作者
e application of composite symmetries in an iterdisciplinary.This volume is a collection of essays on complex symmetries. It is curated, emphasizing the analysis of the symmetries, not the various phenomena that display those symmetries themselves. With this, the volume provides insight to nonspecia
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發(fā)表于 2025-3-22 22:01:31 | 只看該作者
,Recruiting Industry’s Supervisors,(Edmondston, 1992) of the isotropic vector matrix (IVM) of R. Buckminster Fuller via 2-frequency tetrahedrons. The SVM matrix (Fig. 35 (L-119)) consists of icosahedrons and dodecahedrons that integrate and synchronize these two paradoxical symmetries into one unified matrix. Methods include paper folding, CAD drawing, and 3D printing.
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