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Description
The Golden Section has played a part since antiquity in many parts of geometry, architecture, music, art and philosophy. However, it also appears in the newer domains of technology and fractals. In this way, the Golden Section is no isolated phenomenon but rather, in many cases. the first and also the simplest non-trivial example in the context of generalisations leading to further developments. It is the purpose of this book, on the one hand, to...
Description
Uses computer-rendered models to illustrate five essential topics in mathematics. These include how the Golden Ratio is calculated and applied, the ratio of similitude and how it relates to the Pythagorean Theorem and fractals, defining pi, Hippocratic crescents, and cylindrical and conic sections--container.
Author
Description
Engaging introduction to that curious feature of mathematics which provides framework for so many structures in biology, chemistry, and the arts. Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology, conic sections, Pascal's triangle, the Fibonnacci series and much more.
Author
Description
"The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the...
Author
Description
A mathematical explanation of how art works, presented in a manner anyone can understand. Kimberly Elam takes the reader on a geometrical journey, lending insight and coherence to the design process by exploring the visual relationships that have foundations in mathematics as well as the essential qualities of life. She takes a close look at a broad range of twentieth-century examples of design, architecture, and illustration, revealing underlying...
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