It now appears that without the golden ratio, we would not have the form or function of the proton, cell, athlete, horse, species, planet, solar system or galaxy. It is evident in the structure and growth functions of plants and animals and it can be found in the physiological functions of humans. The golden ratio guides the Chaos Border of Kolmogorov, Arnold, and Moser (KAM theorem and it can be found hidden in all elementary particles, and even in the proportions of dark matter and energy relative to visible matter and energy. Therefore, science contains the same mathematical beauty as found in artistic expression. I would like to collapse these two areas by proposing a somewhat novel way of looking at the aesthetics of the golden ratio: its pervasive expression in scientific form and function is the basis of the aesthetics in the world. However, in recent years the prevalence of the golden ratio within a broad range of scientific disciplines has brought its role in the perfection of science to the forefront. Golden ratio beauty as scientific functionĭirectory of Open Access Journals (Sweden)įull Text Available Normally when one is considering the golden ratio in the history of ideas, one is often looking at it as an aesthetic principle – usually associated with Greek art, sculpture and mathematics. © 2009 BY QUINTESSENCE PUBLISHING CO, INC. However, the golden ratio between the perceived widths of the maxillary lateral incisors to the canines does not seem to be decisive for an attractive smile and other factors should be considered. The golden ratio can be useful to achieve esthetic restorations of the maxillary central and lateral incisors. However, the golden ratio between the maxillary lateral incisors and the canines existed in only 16.8% of the individuals with an attractive smile as compared to 12.1% in the nonattractive smile group (P =.223). Maxillary central to lateral incisor ratio showed the golden proportion in 50.3% of the students with an attractive smile as compared to 38.1% in the nonattractive smile group (P =.014). According to the jury, 143 individuals had an attractive smile and 289 had a nonattractive smile. Cochran's chi-square test was used for data analysis. Intraobserver correlation coefficient was 0.966. Finally, the prevalence of the golden ratio was investigated in these two groups. The mean value determined whether an individual was allocated to the attractive or nonattractive smile group. A jury of two dental professionals, a portrait photographer, and a painter, along with the respective subject as the fifth judge, determined the attractiveness of each smile on a visual analog scale.
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Image-measurement software was used to assess the perceived mesiodistal widths of the maxillary anterior teeth on scanned photographs. A double-stage random cluster sample cross-sectional study included 903 students whose ages ranged from 18 to 30 years and met the inclusion criteria. This study assesses the validity of the golden ratio between the widths of the maxillary anterior teeth in individuals presenting with an attractive/nonattractive smile. The golden ratio is a guideline to help harmoniously restore or replace missing teeth. Nikgoo, Arash Alavi, Kamiar Alavi, Kavah Mirfazaelian, Ali In this article, we explore this .Īssessment of the golden ratio in pleasing smiles. The universal ratio of beauty is the ' Golden Ratio', found in many structures. If a face or a structure is in pro- portion, we are more likely to notice it and find it beautiful.
Our attraction to another body increases if the body is sym- metrical and in proportion. This ratio comes from Fibonacci numbers.In this article, we explore this . If a face or a structure is in proportion,we are more likely to notice it and find it beautiful.The universal ratio of beauty is the ' Golden Ratio', found inmany structures. Our attraction to another body increases if the body is symmetricaland in proportion. In the past the recovery and reconstruction of ruins required bringing together fragments of evidence and vast amount of measurements from archaeological site. This paper describes the procedures of reconstructing ancient architecture using solid modeling with geometric analysis, especially the Golden Ratio analysis.
Representing the Past by Solid Modeling + Golden Ratio Analysis If a face or a structure is in proportion,we are more likely to notice it and find it beautiful.The universal ratio of beauty is the ' Golden Ratio', found inmany . Fibonacci numbers, golden ratio, Sanskrit prosody, solar panel.
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