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Fuzzy logic explains the golden proportion
International Journal of Intelligent Systems, 1997It is known that aesthetically pleasing works of art, music, etc. contain a ratio Φ = (√5 - 1)/2 known as the golden proportion. There have been many attempts to understand why this ratio is pleasing; however, there is no convincing and universally accepted explanation. In this article, we provide an explanation based on fuzzy logic.
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Putative golden proportions as predictors of facial esthetics in adolescents
American Journal of Orthodontics and Dentofacial Orthopedics, 2008In orthodontics, facial esthetics is assumed to be related to golden proportions apparent in the ideal human face. The aim of the study was to analyze the putative relationship between facial esthetics and golden proportions in white adolescents.Seventy-six adult laypeople evaluated sets of photographs of 64 adolescents on a visual analog scale (VAS ...
Kiekens, R.M.A. +4 more
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Assessment of the "golden proportion" in agreeable smiles.
Quintessence international (Berlin, Germany : 1985), 2006The aim of this study was to determine the prevalence of the "golden proportion" in individuals presenting agreeable smiles.Two hundred sixty university students aged 18 to 30 years of age (130 subjects of each gender) with maxillary incisors, canines, and premolars presenting anatomic integrity were evaluated.
Marcos Vinícius Moreita, de Castro +2 more
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THE GOLDEN RATIO AND PROPORTIONS OF BEAUTY
Plastic and Reconstructive Surgery, 2004Dimitrios, Danikas +1 more
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Jordan Journal of Dentistry
Objectives: The objective of the current study was to analyze the proportions of maxillary anterior teeth with respect to golden proportion (GP), recurring esthetic dental proportion (RED), in addition to width/height (W/H) and golden percentage ratios in adult Saudi population.
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Objectives: The objective of the current study was to analyze the proportions of maxillary anterior teeth with respect to golden proportion (GP), recurring esthetic dental proportion (RED), in addition to width/height (W/H) and golden percentage ratios in adult Saudi population.
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Golden Proportions in Higher Dimensions
The Fibonacci Quarterly, 2011Bassem Ghalayini, Joseph Malkoun
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Evaluation of the golden proportion in the natural dentition: A systematic review and meta-analysis
Journal of Prosthetic Dentistry, 2023Shohreh Ghasemi +2 more
exaly
Proportion: Golden Section and the Fibonacci series
Proportion: Golden Section and the Fibonacci ...openaire +1 more source