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GHANTOOT TRANSPORT & GEN. CONT. - BUILDING DIVISION DOC. 15A CTM
Friday, September 20, 2013
W WHAT IS THE GOLDEN RATIO? Two quantities a and b are said to be in the golden ratio
φ
if:
One method for finding the value of φ is to start with the left fraction. Through simplifying the fraction and substituting in b/a = 1/φ,
By definition, it is shown that
Multiplying by φ gives
Which can be rearranged to
Using the quadratic formula, formula, two solutions are obtained:
The golden ratio has fascinated Western intellectuals of diverse interests for at least 2,400 years. A 2004 geometrical analysis of earlier research into the Great Mosque of Kairouan reveals a consistent application of the golden ratio throughout the design, according to Boussora and Mazouz They found ratios close to the golden ratio in the overall proportion of the plan and in the dimensioning of the prayer space, the court, and the minaret. The authors note, however, that the areas where ratios close to the golden ratio were found are not part of the original construction, and theorize that these elements were added in a reconstruction.
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WHERE IS THE RATIO IN NATURE Mathematician and philosopher, found the golden ratio expressed in the arrangement of branches along the stems of plants and of veins in leaves. We extended the research to the skeletons of animals and the branching’s of their veins and nerves, to the proportions of chemical compounds and the geometry o f crystals, even to the use of proportion in artistic endeavors. In these phenomena we saw the golden ratio operating as a universal law. In connection with the scheme for golden-ratio-based human body proportions. Zeising wrote in 1854 of a universal law "in which is contained the ground-principle of all formative striving for beauty and completeness in the realms of both nature and art, and which permeates, as a paramount spiritual ideal, all structures, forms and proportions, whether cosmic or individual, organic or inorganic, acoustic or optical; which finds its fullest realization, however, in the human form. In 2010, the journal Science reported that t he golden ratio is present at the atomic scale in the magnetic resonance of spins in cobalt niobate crystals. Several researchers have proposed connections between the golden ratio and human genome DNA. However, some have argued that many of the apparent manifestations of the golden ratio in nature, especially in regard to animal dimensions, are in fact untrue.
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To see more about the Golden Ration in Nature, Art, Arch, Space, Human Body, & Quran Visit YOUTUBE
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