亚谢宾斯基三角研究

发布时间：2018-05-06 02:33

本文选题：亚谢宾斯基三角 + 谢宾斯基三角　；参考：《天津大学》2014年硕士论文

【摘要】：分形几何理论诞生于1975年,自问世以来,分形不仅在科学和艺术的各个领域得到广泛的应用,更是颠覆性地为人们理解自然和世界提供了全新的角度。建筑学作为一门融合科学和艺术的学科,一直以来深受数学尤其是几何学的影响,分形几何的产生为建筑学的理论研究和实际创作带来了全新的变革。谢宾斯基三角是一种经典的分形图案,已被一些先锋建筑师应用于建筑创作中,然而受限于其自身形式与建筑空间的矛盾,其在建筑上的应用范围仍然有限。将谢宾斯基三角进行改造后的亚谢宾斯基三角巧妙地解决了这一矛盾,从而极大地扩展了其在建筑上的应用。本论文就亚谢宾斯基三角的概念及其在建筑设计上的应用展开论述。通过研究其自身的几何特性和构成法则,指出其和一般性建筑立面设计之间存在联系,并探讨在这方面应用的可能性;同时结合分形建筑创作的一般原则,总结出将亚谢宾斯基三角应用于建筑设计上的创作思路,以此创造新的建筑形式和空间形态。在文章开始,作者简要介绍了该课题研究的背景,并阐述了论文的研究框架和主要的研究方法。文章的正文分为概念阐释,理论研究与实践应用三个部分。第二章为基本概念的阐释,主要介绍了亚谢宾斯基三角的生成和特性,以及其和其他经典分形以及相关理论之间的关系。第三章为理论研究部分,讨论的重点为亚谢宾斯基三角应用于建筑设计的可能性,包括其和一般建筑立面创作的关系,以及对谢宾斯基三角在建筑上应用的传承和超越,并总结出将亚谢宾斯基三角应用于建筑创作的一般思路。论文的第四章和第五章为实践应用部分,也是论文的核心部分。第四章以四个基础模型验证前述理论的可操作性,它们仅仅是设计的雏形,为实验性质的探讨。第五章通过四个已经完成的建筑工程实例来综合论述该课题,它们是将相关理论结合设计条件转化为现实中的建筑的尝试。在文章的结语部分,作者总结了该课题现阶段的研究成果并对其发展方向做出展望。
[Abstract]:The theory of fractal geometry was born in 1975. Since its birth, fractal has not only been widely used in various fields of science and art, but also provided a new angle for people to understand nature and the world subversely. Architecture, as a subject combining science and art, has been deeply influenced by mathematics, especially geometry. The emergence of fractal geometry has brought new changes to the theoretical research and practical creation of architecture. Shebinsky triangle is a kind of classical fractal pattern, which has been applied to architectural creation by some pioneer architects. However, limited by the contradiction between its own form and architectural space, its application scope in architecture is still limited. The Yashevinski Triangle after the transformation of the Shebinski Triangle has solved this contradiction skillfully and greatly expanded its application in architecture. This paper discusses the concept of Yashebinski triangle and its application in architectural design. By studying its own geometric characteristics and constitution rules, the paper points out the relationship between it and the general facade design of buildings, and probes into the possibility of its application in this field, and combines with the general principles of fractal architectural creation. This paper sums up the creative ideas of applying the Yashebinski triangle to architectural design, so as to create new architectural forms and spatial forms. At the beginning of the paper, the author briefly introduces the background of the research, and expounds the research framework and main research methods. The text of the article is divided into three parts: conceptual interpretation, theoretical research and practical application. The second chapter is the explanation of the basic concepts, mainly introduces the generation and characteristics of the Yashebinski Triangle, and its relationship with other classical fractals and related theories. The third chapter is the theoretical research part, which focuses on the possibility of the application of the Yashevinski Triangle in architectural design, including its relationship with the general architectural facade creation, as well as the inheritance and transcendence of the application of the Shebinski Triangle in architecture. And summed up the Yashebinski triangle applied to the general idea of architectural creation. The fourth and fifth chapters of the thesis are the practical application part, and also the core part of the thesis. In chapter 4, four basic models are used to verify the maneuverability of the above theory. The fifth chapter discusses this subject comprehensively through four completed building engineering examples, which is an attempt to transform the relevant theories and design conditions into real architecture. In the conclusion of the paper, the author summarizes the current research results and prospects for its development.
【学位授予单位】：天津大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TU201

【参考文献】