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Abstract. To Renaissance mathematician Luca Pacioli, it was the Divine Proportion. To German astronomer Johannes Kepler, it was a precious jewel. The only proportion to increase simultaneously by geometric progression and by simple addition, the Golden Section achieves unity among diverse elements in remarkably efficient ways. We explore the Golden Ratio 1: ϕ , also known as the Golden Mean, and its appearance in the regular pentagon and other geometric constructions.
Abstract. To Renaissance mathematician Luca Pacioli, it was the Divine Proportion. To German astronomer Johannes Kepler, it was a precious jewel. The only proportion to increase simultaneously by geometric progression and by simple addition, the Golden Section achieves unity among diverse elements in remarkably efficient ways. We explore the Golden Ratio 1: ϕ , also known as the Golden Mean, and its appearance in the regular pentagon and other geometric constructions.
The Golden Section
Fletcher, Rachel (author)
Nexus Network Journal ; 8 ; 67-89
2006-06-01
23 pages
Article (Journal)
Electronic Resource
English
divine proportion , golden section , golden ratio , Luca Pacioli , Johannes Kepler , Le Corbusier , Modulor , phi , irrational values , geometric constructions , pentagon geometry , golden triangle , golden rectangle Mathematics , Mathematics, general , History and Philosophical Foundations of Physics , Popular Science, general , History, general
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