Connections between mathematics, the arts and architecture
著者
書誌事項
Connections between mathematics, the arts and architecture
（Mathematics research developments series）
Nova Science Publisher's, Inc., c2019
大学図書館所蔵 全2件
注記
Includes bibliographical references (p. [253]-261) and index
収録内容
- Symmetry
- Proportions and the Golden Section
- Curves and Spirals
内容説明・目次
内容説明
The purpose of this book is to analyse the interdisciplinary aspects of mathematics and geometry in reference to nature, art, and architecture. In Chapter 1, we introduce symmetry and its different meanings. Symmetry is a notion, which has been applied in the arts and architecture to find harmony and beauty. It joins aesthetics and practice, science and economy, mathematics and philosophy. In this chapter, we also analyze the influence of Vitruvius and the concept of old symmetry, received by the Renaissance. It is also interesting to note how in contemporary architecture there is often the presence of the "break" of symmetry (for example in the Frank O Gehry's works). Chapter 2 explains how proportions, and in particular, the golden section, has introduced aesthetic canons that have strongly influenced many artists like Polycletus, and architects, from Ictinus to Le Corbusier. In Chapter 3, we discover how curves and spirals find their application in artistic works, for example in Mycenaean jewellery, and architectural works, from the Baroque of Francesco Borromini to the Land Art of Smithson. Chapter 4 presents the importance and influence that Platonic solids and polyhedrons have had on philosophy and art through different historical periods and different cultures. For instance, we look at how Platonic solids are connected to the theory of Empedocles' elements and Hippocrates' theory of humors. Chapter 5 describes surfaces, discovering how different cultures have used them in different manners, including Roman aqueducts, iron bridges, and finally arriving on modern structures that base their forms on hyperboloids and paraboloids. In Chapter 6, we introduce fractal geometry, as a geometry that tries to explain nature's irregular shapes, trying to overcome the limitations imposed by "old" Euclidean geometry. We also analyse how fractal geometry has influenced architecture in this century.
目次
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