Geodesic
New Approach for Understanding the Golden Section
In nature, the golden ratio orchestrates objects as large as galaxies and as small as the DNA. It inspired artists and engineers since the ancient civilizations. However, a five century old question is still without answer. This question says; is the golden ratio a “divine” and mysterious ratio or it is a functional necessity in nature? This research provides a breakthrough in understanding why the golden ratio and the gold section exist in nature. Advanced 3D modeling was used in this research to prove that the golden section is in fact a logical and mathematical relation that governs the growth around a center, a growth that is essential in nature.
Classification : 00A66
Keywords: Golden Ratio, Fibonacci numbers, Growth, Nature. 
@article{VM_2008_10_3_a0,
     author = {H. Abaza},
     title = {New {Approach} for {Understanding} the {Golden} {Section}},
     journal = {Visual Mathematics},
     publisher = {mathdoc},
     volume = {10},
     number = {3},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VM_2008_10_3_a0/}
}
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H. Abaza. New Approach for Understanding the Golden Section. Visual Mathematics, Tome 10 (2008) no. 3. http://geodesic.mathdoc.fr/item/VM_2008_10_3_a0/