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Abstract Background The purpose of this article is to explore the claims often cited in scientific journals regarding the golden ratio, and its proposed link to beauty and idealized forms in nature, including idealized human proportions. Main body Claims made in the nineteenth century through to the modern day in the clinical literature do not appear to be supported by evidence. Short conclusions There is no convincing evidence that the golden ratio is linked to idealized human proportions or facial beauty. There is currently no evidence to support the use of the golden ratio in orthognathic or facial aesthetic/reconstructive surgical planning or analysis of results.

Background: The purpose of this article is to explore the claims often cited in scientific journals regarding the golden ratio, and its proposed link to beauty and idealized forms in nature, including idealized human proportions. Main body: Claims made in the nineteenth century through to the modern day in the clinical literature do not appear to be supported by evidence. Short conclusions: There is no convincing evidence that the golden ratio is linked to idealized human proportions or facial beauty. There is currently no evidence to support the use of the golden ratio in orthognathic or facial aesthetic/reconstructive surgical planning or analysis of results. [ABSTRACT FROM AUTHOR]

Copyright of Llull: Revista de la Sociedad Espanola de Historia de las Ciencias y de las Tecnicas is the property of Sociedad Espanola de Historia de las Ciencias y de las Tecnicas and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Background: With the shift in focus from the hard to soft tissue in orthodontic diagnosis and treatment planning, the scope of orthodontic treatment has grown beyond achieving an ideal occlusion, also to achieve ideal aesthetic facial proportions. Since time immemorial, the various horizontal and vertical proportions of an ideal face is considered to follow the golden/divine ratio. Aim: The aim of this study is to assess the vertical and horizontal proportions of the face and their relation of phi in males and females of Dakshina Kannada population. Materials and Methods: The study was carried out on 100 subjects, which included 50 males and 50 females, aged between 18 and 30 years. Photographs were taken under standardized condition and adjusted to a standardized image size (5″ × 4″). Adobe Photoshop CS5.1 software was used for making all the measurements. A total of 11 vertical and horizontal ratios were independently measured for males and females, and their relation to phi was assessed. The data were subjected to Shapiro–Wilk test for testing the normality. Homogeneity of variance assumption was tested by using Levene statistic homogeneity of variance. One sample t test was used for the comparison between phi and mean vertical and horizontal ratios in males and females. Results: In males and females of the Dakshina Kannada, a statistically significant correlation was seen between all the horizontal and vertical facial proportions and phi (p < 0.05). Between male and female groups, a significant difference was noted in the intertemporal/intercanthal ratio, interalae/nose width and Intereye-soft menton/ala-soft menton (p < 0.05). Conclusion: Golden proportion can be used as a guideline in orthodontic treatment planning. However, it should not be the decisive factor in determining the facial attractiveness.

Background: With the shift in focus from the hard to soft tissue in orthodontic diagnosis and treatment planning, the scope of orthodontic treatment has grown beyond achieving an ideal occlusion, also to achieve ideal aesthetic facial proportions. Since time immemorial, the various horizontal and vertical proportions of an ideal face is considered to follow the golden/divine ratio. Aim: The aim of this study is to assess the vertical and horizontal proportions of the face and their relation of phi in males and females of Dakshina Kannada population. Materials and Methods: The study was carried out on 100 subjects, which included 50 males and 50 females, aged between 18 and 30 years. Photographs were taken under standardized condition and adjusted to a standardized image size (5″ × 4″). Adobe Photoshop CS5.1 software was used for making all the measurements. A total of 11 vertical and horizontal ratios were independently measured for males and females, and their relation to phi was assessed. The data were subjected to Shapiro–Wilk test for testing the normality. Homogeneity of variance assumption was tested by using Levene statistic homogeneity of variance. One sample t test was used for the comparison between phi and mean vertical and horizontal ratios in males and females. Results: In males and females of the Dakshina Kannada, a statistically significant correlation was seen between all the horizontal and vertical facial proportions and phi (p < 0.05). Between male and female groups, a significant difference was noted in the intertemporal/intercanthal ratio, interalae/nose width and Intereye‑soft menton/ala‑soft menton (p < 0.05). Conclusion: Golden proportion can be used as a guideline in orthodontic treatment planning. However, it should not be the decisive factor in determining the facial attractiveness. [ABSTRACT FROM AUTHOR]

Objective: The objective of this research was to systematically evaluate evidence regarding the correlation between divine proportions and facial esthetics. Materials and Methods: An extensive literature search was performed in multiple electronic databases such as PubMed, Medline, Embase, ScienceDirect, and ProQuest which included articles published from May 1982 to March 2021 in the English language. Furthermore, only randomized clinical trials and original research studies were included. The risk of bias in the included studies was assessed by using the Cochrane risk-of-bias tool ROBVIS (Risk-of-bias VISualization tool). Results: A total of 2,736 articles were retrieved and 974 duplicate records were eliminated; subsequently, articles were screened based on title and abstracts, inclusion and exclusion criteria from which a total of 14 original articles were included in the systematic review. Of the 14 included studies, 5 studies showed a low risk of bias, 6 studies showed a moderate risk of bias, and 3 showed a high risk of bias. Four studies showed a positive correlation and 10 studies showed a negative correlation between divine proportions and facial esthetics. Conclusion: The evidence from this study suggests that there exists a weak correlation between divine proportions and facial esthetics. Hence, divine proportions are not absolute determinants and are only partially related to facial attractiveness. Further high-quality cross-sectional studies with a strong methodology are needed to establish the correlation between divine proportions and facial esthetics and to support this evidence. [ABSTRACT FROM AUTHOR]

The Golden ratio ("phi" or "Ф") has been known to us for ages and its use in art and architectural designs has enhanced its exquisiteness. Even some of the astounding creations of nature do follow this principle of Golden or divine proportions. Three centuries ago the circle of Willis at the base of the brain was first described and illustrated by Thomas Willis. Classically it was described as being circular in shape, however, the gross anatomy reveals a slightly different picture. The components of this complex neurovascular structure are so arranged that it appears more like a pentagon than a circle. A regular pentagon, unlike a circle, is a Golden shape that mathematically obeys the laws of Golden proportions. Like most other marvelous structures in nature, the close resemblance of the circle of Willis to a pentagon is more of a conscious effort of nature to establish consonance with aesthetic perception, rather than just a mere coincidence. [ABSTRACT FROM AUTHOR]

Background: Leonardo de Vinci contributed several observations and drawings on facial proportion and the lower one third of the face. Many facial and body measurements to determine vertical dimension at occlusion. These facial measurements can be implemented in construction of complete denture patients. Aim: This study aims to correlate the vertical dimension at occlusion to 13 anthropometric measurements. Then correlating, which measurement is more accurate to the vertical dimension at occlusion.Methodology: 20 male and female subjects were selected. Vertical dimension at occlusion and 12 anthropometric parameters were measured. Results and Conclusion: Twice the length of the eye and distance between the tip of the thumb and tip of the index finger is closest to the vertical dimension at occlusion in male patients and that vertical distance from the pupil to corner of the mouth, vertical height of the ear is closest to the vertical dimension at occlusion in female patients.

The aim of this study is to demonstrate the use and the effectiveness of cephalometry and golden proportions analysis of the face in planning prosthetic treatments in totally edentulous patients. In order to apply this method, latero-lateral and posterior-anterior X-rays must be performed in addition to the common procedure. Two main concerns for totally edentulous patients are the establishment of the vertical dimension and the new position of the occlusal plane. The divine proportion analysis was carried out by the use of a golden divider. The prosthetic protocol was divided into three steps and a case was selected for better understanding. Referring to the golden relations, if the distance from the chin to the wing of the nose is 1.0, the distance from the nose to eye is 0.618. This proportion is useful and effective in determining the correct prosthetic vertical dimension. The incisal margin of the lower incisor must be positioned between Point A (A) and protuberance menti (Pm) according to the gold ratio 0.618 of the total height A-Pm. Posteriorly the occlusal plane must be placed 2 mm below the divine occlusal plane (traced from the incisal margin of lower incisors to Xi point). A prosthesis made in accordance with cephalometric parameters and divine proportions of the face helps to improve the patient's aesthetics, function and social personality. [ABSTRACT FROM AUTHOR]

Background: Leonardo de Vinci contributed several observations and drawings on facial proportion and the lower one third of the face. Many facial and body measurements to determine vertical dimension at occlusion. These facial measurements can be implemented in construction of complete denture patients. Aim: This study aims to correlate the vertical dimension at occlusion to 13 anthropometric measurements. Then correlating, which measurement is more accurate to the vertical dimension at occlusion.Methodology: 20 male and female subjects were selected. Vertical dimension at occlusion and 12 anthropometric parameters were measured. Results and Conclusion: Twice the length of the eye and distance between the tip of the thumb and tip of the index finger is closest to the vertical dimension at occlusion in male patients and that vertical distance from the pupil to corner of the mouth, vertical height of the ear is closest to the vertical dimension at occlusion in female patients. [ABSTRACT FROM AUTHOR]

Copyright of Revista de Historía da Sociedade e da Cultura is the property of Revista de Historia da Sociedade e da Cultura and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Arte, Individuo y Sociedad is the property of Universidad Complutense de Madrid and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

The aim of this study is to demonstrate the use and the effectiveness of cephalometry and golden proportions analysis of the face in planning prosthetic treatments in totally edentulous patients. In order to apply this method, latero-lateral and posterior-anterior X-rays must be performed in addition to the common procedure. Two main concerns for totally edentulous patients are the establishment of the vertical dimension and the new position of the occlusal plane. The divine proportion analysis was carried out by the use of a golden divider. The prosthetic protocol was divided into three steps and a case was selected for better understanding. Referring to the golden relations, if the distance from the chin to the wing of the nose is 1.0, the distance from the nose to eye is 0.618. This proportion is useful and effective in determining the correct prosthetic vertical dimension. The incisal margin of the lower incisor must be positioned between Point A (A) and protuberance menti (Pm) according to the gold ratio 0.618 of the total height A-Pm. Posteriorly the occlusal plane must be placed 2 mm below the divine occlusal plane (traced from the incisal margin of lower incisors to Xi point). A prosthesis made in accordance with cephalometric parameters and divine proportions of the face helps to improve the patient’s aesthetics, function and social personality.

Context: Esthetic appearance of the face is a major concern in self-image among the majority of the population. The dimensions, anatomy, and arrangement of maxillary anterior are the key factors in the esthetic appearance of the face., Aim: The present study aimed to measure the mesiodistal dimensions of maxillary anterior teeth and analyzing the golden proportion in the representative North Indian population., Materials and Methods: Subjects were seated in the upright position in a dental clinical chair. A digital Vernier caliper was used to record the mesiodistal dimensions of central incisors (CIs), lateral incisor (LI), and canine (C) teeth in maximum smile position. A total of three sets of recordings were made by a single observer to avoid the measurement bias of both left and right sides of teeth. Digital images were also captured. Obtained measurements were used for the calculation of ratios and statistical analysis was done., Results: The prevalence of golden ratio between right CI/LI was observed in 3.1% males and 3.2% females. The calculated median ratio was 1.2 for males and 1.3 for females which differs significantly ( P > 0.05) from the golden ratio. The divine proportion between visible portion of right C/LI was seen in 39.5% males and 32.3% females with calculated median value for males being 0.6 and that for females was 0.7., Conclusion: The prevalence of golden proportion between the CI/LI in esthetically pleasing smiles was too small (mean-3.9 in males and 2.75 in females) while the golden ratio of 0.6 was found in the majority of the population irrespective of the gender., Competing Interests: There are no conflicts of interest., (Copyright: © 2024 Journal of Conservative Dentistry and Endodontics.)

Introduction Golden ratio and beauty are two inseparable sides of the same coin and have been studied for centuries by the Greeks. This divine ratio is defined as an invincible parameter in aesthetic dentistry to measure looks, symmetry, and balance. Being beautiful and handsome also boosts confidence in today's children and therefore is a top priority for young growing kids. However, there is no study done to define facial measurements based on the golden ratio in preschool and school-going children that can succor aesthetics in formative years. The purpose of this research was to evaluate facial proportions in the vertical dimension, quantify them in reference to the golden ratio, and analyze the association with gender among preschool and school-going children of the Santhal tribe in the Bankura district. Materials and methods A total of 399 subjects, 198 children of 3-5 years with primary teeth and 201 children of 6-12 years with mixed dentition, were selected from schools in villages of Bankura district, West Bengal, India. The subjects were made to relax in a sitting position and a digital vernier caliper was used to record the following vertical facial parameters: total facial height (TFH), trichion-gnathion distance (Tr-Gn), and subnasale-gnathion distance (Sn-Gn). The total facial height was correlated with sexual dimorphism and dentition. The ratio of Tr-Sn/Sn-Gn was calculated and compared with the golden ratio. The ratio was classified as normal (if it was between 1.6 and 1.699, i.e., normal to the golden ratio value), long (if it was more than 1.699, i.e., more than the golden ratio value), or short (if it was below 1.6, i.e., less than the golden ratio value). This facial analysis based on the golden ratio was correlated to sexual dimorphism and dentition. The data were recorded, compared with gender, and statistically analyzed using the unpaired t-test and Chi-square test. Results The total facial height was larger in males than females in both primary and mixed dentition; however, the value was highly significant in primary dentition. Tr-Sn/Sn-Gn ratios were lower in the long facial category in both males and females in both preschool and school-going children. The values were statistically significant in these ratios for both dentitions. Conclusion The majority of children in the Santhal tribe of Bankura in West Bengal did not conform to the golden ratio and showed long faces. There was a significant association of facial features with sexual dimorphism. Clinical significance The early prediction of facial features in children and its confirmation with the established golden ratio can be considered an imperative parameter to comprehend facial aesthetics and symmetry., Competing Interests: The authors have declared that no competing interests exist., (Copyright © 2024, Ahuja et al.)

Objective: To evaluate the facial divine proportion and its relationship with facial attractiveness in North Indian population. Materials and Methods: For evaluation of various facial proportions, standardized frontal facial photographs of total 300 subjects between 18 and 30 years of age were obtained. Black and white copies of these photographs were presented in front of an evaluation jury for assigning scores of facial attractiveness and finally 130 attractive subjects were selected. These subjects were divided into two groups, Group I (attractive females n = 65) and Group II (attractive males n = 65) and they were further analyzed for various parameters of facial proportions. Unpaired Student′s t-test was used to compare both groups. Results: Group I showed that five of seven vertical facial proportions were close to divine proportion (1.618) whereas only two vertical proportions in Group II were close to it. Transverse facial proportions in both groups deviated more from divine proportion (1.618) and were closer to silver proportion (1.414). Conclusions: Most of the facial proportions of attractive females in the North-Indian population were close to the divine proportion. Thus, facial divine proportion could be an important factor in the perception of facial attractiveness of North-Indian attractive females.

Human walking is a complex task which includes hundreds of muscles, bones and joints working together to deliver harmonic movements with the need of finding equilibrium between moving forward and maintaining stability. Many different computational approaches have been used to explain human walking mechanisms, from pendular model to fractal approaches. A new perspective can be gained from using the principles developed in the field of Optimization theory and in particularly the branch of Game Theory. In particular we provide a new insight into human walking showing as the trade-off between advancement and equilibrium managed during walking has the same solution of the Ultimatum game, one of the most famous paradigms of game theory, and this solution is the golden ratio. The golden ratio is an irrational number that was found in many biological and natural systems self-organized in a harmonic, asymmetric, and fractal structure. Recently, the golden ratio has also been found as the equilibrium point between two players involved into the Ultimatum Game. It has been suggested that this result can be due to the fact that the golden ratio is perceived as the fairest asymmetric solution by the two players. The golden ratio is also the most common proportion between stance and swing phase of human walking. This approach may explain the importance of harmony in human walking, and provide new perspectives for developing quantitative assessment of human walking, efficient humanoid robotic walkers, and effective neurorobots for rehabilitation.

Background: Throughout history, the perception and definition of beauty and attractiveness have changed and have been influenced by cultural norms. This article analyzes the concept of “facial normality” (faces that are considered normal by 90% of respondents and, therefore, do not require esthetic surgery) among Spaniards of Caucasian ancestry. We also sought to determine the relationship between faces that are considered “normal” and the golden ratio.Methods: We surveyed 54 respondents (equal numbers of women and men) between the ages of 18 and 60. The surveys followed the visual analog scale (VAS) protocol, and 13,514 responses were obtained. The respondents were asked to evaluate up to nine photographed faces according to their degree of attractiveness.Results: According to the data obtained, “facial normality” or facial beauty can be defined by the following characteristics: (a) the sizes of the three facial segments (equal in proportion), (b) the width of the nose (narrow in women and average in men), and (c) the profile (straight or slightly retracted in women and straight or slightly prominent in men). In addition, five specific facial proportions were directly related to the golden ratio. Thus, the concept of “normal” can be applied to 90% of faces whose proportions fall within distinct ranges that encompass the value of the golden ratio.Conclusions: We conclude that a standard perception of “facial normality” and facial beauty does exist. We also observed a general correlation between specific facial proportions and the golden ratio.Level of Evidence: Not ratable. [ABSTRACT FROM AUTHOR]

As a science, facial and dental aesthetics is highly complex, the dentist being compelled to effectively exploit his abilities of reconstructing affected tissues, but also cultivate his aesthetic sense. Nowadays, dentists frequently face the patients high expectations, regarding dental structure and facial reconstruction. Most young patients tend to choose their model from the media, while patients over the age of 50 desire to have teeth like those of youth. It should also be noted that there is no concept of „cosmetic dentistry" as the teeth can only be adjusted in corellation to the face and body appearance. Thus, between physiognomy and the general appearance of the body and of the teeth a state of interdependence is in existence. One of the major errors that leads to endangering the quality of dental treatment and to patient dissatisfaction is the way in which the doctor-patient relationship is managed. If a person opts for an aesthetic treatment it is clear that it is facing a low self-esteem, in this case the dentist needing to address the disorder on two coordinates: an objective interpretation involves the sequencing of reconstructing a morphological and functional dentition and and establishing the issues related to patients notion of „beautiful". At the same time, aesthetic dental treatment is based on the personality of the individual, the age, sex and patient's systemic diseases. The notion of „divine proportion" makes possible to perform „perfect" dental works that integrate the facial and somatic features, whose basic characteristics are symmetry, balance, continuity. [ABSTRACT FROM AUTHOR]

Human walking is a complex task which includes hundreds of muscles, bones and joints working together to deliver harmonic movements with the need of finding equilibrium between moving forward and maintaining stability. Many different computational approaches have been used to explain human walking mechanisms, from pendular model to fractal approaches. A new perspective can be gained from using the principles developed in the field of Optimization theory and in particularly the branch of Game Theory. In particular we provide a new insight into human walking showing as the trade-off between advancement and equilibrium managed during walking has the same solution of the Ultimatum game, one of the most famous paradigms of game theory, and this solution is the golden ratio. The golden ratio is an irrational number that was found in many biological and natural systems self-organized in a harmonic, asymmetric, and fractal structure. Recently, the golden ratio has also been found as the equilibrium point between two players involved into the Ultimatum Game. It has been suggested that this result can be due to the fact that the golden ratio is perceived as the fairest asymmetric solution by the two players. The golden ratio is also the most common proportion between stance and swing phase of human walking. This approach may explain the importance of harmony in human walking, and provide new perspectives for developing quantitative assessment of human walking, efficient humanoid robotic walkers, and effective neurorobots for rehabilitation. [ABSTRACT FROM AUTHOR]

Copyright of Journal of Orofacial Orthopedics/Fortschritte der Kieferorthopadie is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

La belleza y la armonía facial desempeñan una función decisiva en las relaciones sociales del hombre. La afectación estética es el principal motivo de consulta de los pacientes de Ortodoncia. La Proporción Divina está siendo estudiada cada día más, con fines diagnósticos y terapéuticos relacionados con la estética facial. Con el objetivo de evaluar el comportamiento de la Proporción Divina en mediciones faciales en pacientes con Síndrome de Clase II división 1 y su relación con el sexo se realizó un estudio descriptivo transversal durante los años 2008-2010 en el Departamento de Ortodoncia de la Facultad de Estomatología de la Habana. La muestra estuvo formada por 30 pacientes que cumplieron con los criterios de inclusión y se estudiaron las mediciones faciales mediante fotografías de frente y perfil. El estudio arrojó que los mayores porcentajes se encontraron en los pares que relacionaban la distancia entre el canto lateral de los ojos y el margen lateral de la nariz (66,7 %); la base del tragus y el canto lateral del ojo y de este a la punta de la nariz (66,7 %); de trichion al ala de la nariz y de esta al mentón (63,3 %). Pocos pacientes mostraron la Proporción Divina en las mediciones faciales estudiadas, sin diferencias significativas en su comportamiento en relación con el sexo.The beauty and the facial harmony have a decisive function in social relationships of man. The esthetic affection is the leading cause of consultation of patients to Orthodontics. Divine Proportion is being more and more studied having diagnostic and therapeutical aims related to the facial aesthetics. To assess the behavior of Divine Proportion in facial measurements in patients presenting with Class II Division I syndrome and its relation to sex a cross-sectional and descriptive study was conducted for 2008-2010 in the Orthodontics Department of the Stomatology Faculty of La Habana. The sample included 30 patients who fulfilled the inclusion criteria studying the facial measurements by frontal and in profile photos. Study demonstrated that the greater percentages were in the pairs related to the distance between the lateral edge of eyes and the lateral margin of the nose (66.7 %); the tragus basement ahd the lateral side of eye and from this one to nose tip and from this one to chin (63.3 %). Few patients showed the Divine Proportion in the study facial measurements without significant differences in its behavior in relation to sex.

INTRODUCTION: The study of the Divine Proportion (Φ = 1.618) began with the Greeks, having as main researchers the mathematician Pythagoras and the sculptor Phidias. In Dentistry, Ricketts (1981-82) was an early to study this issue. OBJECTIVE: This study proposed to evaluate how some cephalometric measures are presented in relation to the Divine Proportion, with the total of 52 proportions, formed by 28 cephalometric landmarks. METHODS: Lateral cephalograms of 40 Class II adults patients aging from 17 to 45 years (13 male and 27 female) were evaluated. The linear distances between the landmarks were measured using Radiocef Studio software. RESULTS: After statistical analysis, the data shown an average of 65,48% in the Divine Proportion, 17,5% in the relation Ans-Op/V1S-DM16 and 97,5% in the relations Na-Me/Na-PoNa e Na-PoNa/Na-Gn. CONCLUSION: Among all cephalometric measurements investigated, the lower facial third and the dental arches showed the smallest percentages of Divine Proportion.

OBJECTIVE: The aim of this study was to evaluate if there is correlation between perception of facial esthetic and divine proportion, verifying if most attractive faces are closer to and less attractive faces are more distant to this proportion. METHODS: Standard facial photographs (frontal and lateral) in natural head position were taken of a sample of 85 Brazilian Caucasian women, with mean age of 23 years and 9 months. The photographs were evaluated by 5 orthodontists, 5 artists and 5 laymen and were classified, according to their subjective analysis of facial esthetic, in pleasant, acceptable and not pleasant. Frontal photographs were evaluated by divine proportion analysis using the computerized method. RESULTS AND CONCLUSIONS: According to subjective analysis the sample consisted 18.8% of pleasant, 70.6% of acceptable and 10.6% of not pleasant faces. After statistical analysis, a lack of agreement was verified in esthetic facial preferences among the three groups of observers. It was also possible to verify that in this research there was no correlation between perception of facial beauty and divine proportion.

Los pacientes acuden cada vez con más frecuencia a los servicios estomatológicos en busca de mejorar su aspecto estético. Uno de los métodos más polémicos para el examen de la estética lo constituyen aquellos que se basan en el empleo de la proporción divina, esto motivó a la realización de este trabajo. Se evaluó el comportamiento de las proporciones divinas en mediciones dentales de individuos con maloclusión, mediante el empleo del índice de Bolton. Se realizó un estudio descriptivo transversal en estudiantes del segundo al quinto años de la Facultad de Estomatología de La Habana, Cuba, desde el mes de enero del año 2009 al mes de enero del año 2010. Se emplearon modelos de yeso pertenecientes a 80 estudiantes de 18 a 25 años de edad. Se efectuaron mediciones de los anchos mesiodistales de los dientes y se relacionaron algunas secciones de dientes donde se identificaron los que guardaron relación de proporción divina, según la variable oclusión. Los estudiantes que presentaron maloclusión se estudiaron según la variación del índice de Bolton. En los estudiantes con maloclusión el índice de Bolton que predominó fue a favor de un mayor tamaño de los dientes anteroinferiores, con rangos de proporción divina menores de 1,60.Patients came more and more frequently to Stomatology services to improve the esthetic feature. Among the more polemic methods for esthetics examination are those based on the use of divine proportion, leading to carrying out of present paper to assess the behavior of divine proportions in the dental measurements of subjects with malocclusion using the Bolton's index. A cross-sectional and descriptive study was conducted in second to fifth years students of the Stomatology Faculty of La Habana from January, 2009 to January, 2010 using the plaster casts in 80 students aged 18 to 25. Measurements of the mesio-distal width of teeth relating some sections of them where were identified those en relation to the divine proportion according the occlusion variable. The students presenting with malocclusion were studied according the variation of Bolton's index. In the students with malocclusion, there was predominance of Bolton's index favoring a great size of anteroinferior teeth with ranks of divine proportion of 1.60.

Background: Beauty is the phenomenon of experiencing pleasure, through the perception of balance. According to some authors, attractive faces have ideal proportions that are related to the Divine Proportion (1.618:1). Aim: The purpose of this study was to evaluate the Divine Proportion in the human profile and investigate the effects of this ratio on the perception of the beauty of the profile. Study and Design: We conducted a cross-sectional study to determine the mentioned aims. Materials and Methods : In this cross-sectional study, fifty females in the age range of 20-25 years, with acceptable profiles were selected. Standardized profile silhouettes were each given a score by 20 judges (consisting of 10 men and 10 women) using the visual analog scale. Five landmarks were determined and five ratios were measured on the silhouettes by using the adobe photoshop program. Statistical Analysis: The Student′s t test was used to compare profile proportions of the subjects. Results: Statistical analysis showed none of the proportions had the mean of 1.618, but in subjects having higher esthetic scores, trichion (Te)-soft tissue menton (Me):Tr-subnasale (Sn) and Tr-Me:soft tissue nasion (N)-Me, with the mean of 1.58 were closer to Divine Proportion. Conclusions : The results suggested the perception of beauty is influenced by the Divine Proportions and Tr-Me:Tr-Sn and Tr-Me:N-Me are the most influential ratios in the perception of the beauty of profile; however, if the Divine Proportion is to be used in treatment planning, it should be used along with other factors.

Objective: To evaluate the facial divine proportion and its relationship with facial attractiveness in North Indian population. Materials and Methods: For evaluation of various facial proportions, standardized frontal facial photographs of total 300 subjects between 18 and 30 years of age were obtained. Black and white copies of these photographs were presented in front of an evaluation jury for assigning scores of facial attractiveness and finally 130 attractive subjects were selected. These subjects were divided into two groups, Group I (attractive females n = 65) and Group II (attractive males n = 65) and they were further analyzed for various parameters of facial proportions. Unpaired Student's t-test was used to compare both groups. Results: Group I showed that five of seven vertical facial proportions were close to divine proportion (1.618) whereas only two vertical proportions in Group II were close to it. Transverse facial proportions in both groups deviated more from divine proportion (1.618) and were closer to silver proportion (1.414). Conclusions: Most of the facial proportions of attractive females in the North-Indian population were close to the divine proportion. Thus, facial divine proportion could be an important factor in the perception of facial attractiveness of North-Indian attractive females. [ABSTRACT FROM AUTHOR]

Background: Facial proportions are of interest in orthodontics. Leonardo Da Vinci had shown the relation between harmony and proportion when he discussed about "proportional beauties of an angelic face." The purpose of this study was to assess the influence of hard tissue on facial attractiveness on young attractive North Indian women. Materials and Methods: Thirty attractive young women out of 102 were selected (of age group 18 to 26 years) representing the population of North India, by a panel of selectors from various different backgrounds. Divine proportions were evaluated by using Ricketts method of divine proportion analysis on lateral cephalogram. Results: The subjects showed golden proportions on said parameters. The "t" test is significant at t = 3.65 very highly significant for linear facial height and the width ratios. Conclusion: On hard tissue, the ratios were found to be very close to the divine proportion in vertical and transverse dimension. The soft tissue of attractive face also exhibits divine proportion. [ABSTRACT FROM AUTHOR]

Introduction: The navel contributes to abdominal surface identity and beauty. In Western societies, the display of the navel in women's fashion has grown and, nowadays, women are much more concerned about its shape and position. Despite this, few studies are available on navel surface anatomy and there is no standardization regarding its proper placement in cosmetic abdominoplasty. Materials and Methods: In this observational study, we analyzed navel shape and position on 81 high quality pictures, having been chosen as top 2013 bikini models by editors of mass media. An on-line survey on navel shape and position has been made via facebook.com, involving 1,682 people. Results: The analysis revealed that navel position is quite variable based on the proportions analyzed with an acceptable narrow data spread of the xiphoid-umbilicus:umbilicus-abdominal mean crease ratio of 1.62 ± 0.16. The data dispersion for the other three ratios was wider, making them less reliable as references. The most appreciated navel shape was the vertical oval with superior hooding (82 %), and the less appreciated ones were the horizontal oval (29 %) and the protruding shape (47 %). When comparing navel position on the same body, the majority of participants choose the one with the navel relocated according to the golden ratio (i.e., 1.618) Conclusion: The most attractive navel position is located at the xiphoid-umbilicus:umbilicus-abdominal crease golden ratio. Bony landmarks seem to be not reliable as references for proper navel positioning. The use of the Fibonacci (golden mean) caliper intraoperatively might aid in proper positioning of the navel in abdominoplasty. No Level Assigned: This journal requires that authors assign a level of evidence to each submission to which Evidence-Based Medicine rankings are applicable. This excludes Review Articles, Book Reviews, and manuscripts that concern Basic Science, Animal Studies, Cadaver Studies, and Experimental Studies. For a full description of these Evidence-Based Medicine ratings, please refer to the Table of Contents or the online Instructions to Authors . [ABSTRACT FROM AUTHOR]

This research centres on the conference dedicated to the theme 'Divina Proporzione' organised on the occasion of the 1951 Milano Triennale. Participating in the meeting were some of the most important art historians, architects, engineers, mathematicians and artists of the day: from a very young James Ackerman to Pier Luigi Nervi, from Le Corbusier to Carlo Mollino, from Lucio Fontana to Ernesto Rogers. That historic moment, even given the plurality of voices and approaches, represented the synthesis of a reflection that was as urgent as it was rich in implications, since it brought the concept of 'proportion' into the very heart of post-war reconstruction. [ABSTRACT FROM AUTHOR]

Introduction: The study of the Divine Proportion (θ = 1.618) began with the Greeks, having as main researchers the mathematician Pythagoras and the sculptor Phidias. In Dentistry, Ricketts (1981-82) was an early to study this issue. Objective: This study proposed to evaluate how some cephalometric measures are presented in relation to the Divine Proportion, with the total of 52 proportions, formed by 28 cephalometric landmarks. Methods: Lateral cephalograms of 40 Class II adults patients aging from 17 to 45 years (13 male and 27 female) were evaluated. The linear distances between the landmarks were measured using Radiocef Studio software. Results: After statistical analysis, the data shown an average of 65,48% in the Divine Proportion, 17,5% in the relation Ans-Op/V1S-DM16 and 97,5% in the relations Na-Me/Na-PoNa e Na-PoNa/Na-Gn. Conclusion: Among all cephalometric measurements investigated, the lower facial third and the dental arches showed the smallest percentages of Divine Proportion. [ABSTRACT FROM AUTHOR]

Objective: The aim of this study was to evaluate if there is correlation between perception of facial esthetic and divine proportion, verifying if most attractive faces are closer to and less attractive faces are more distant to this proportion. Methods: Standard facial photographs (frontal and lateral) in natural head position were taken of a sample of 85 Brazilian Caucasian women, with mean age of 23 years and 9 months. The photographs were evaluated by 5 orthodontists, 5 artists and 5 laymen and were classified, according to their subjective analysis of facial esthetic, in pleasant, acceptable and not pleasant. Frontal photographs were evaluated by divine proportion analysis using the computerized method. Results and Conclusions: According to subjective analysis the sample consisted 18.8% of pleasant, 70.6% of acceptable and 10.6% of not pleasant faces. After statistical analysis, a lack of agreement was verified in esthetic facial preferences among the three groups of observers. It was also possible to verify that in this research there was no correlation between perception of facial beauty and divine proportion. [ABSTRACT FROM AUTHOR]

I have found the geometry of the mandala exists deep in the psyche as it appears in the Systema Munditotius mandala of C. G. Jung. In this article, I demonstrate the geometry of proportion, the Divine Proportion, the Golden Section, and the Extreme and Mean Ratio, which I have applied to Jung's Systema Munditotius mandala published in The Red Book. I analyze Jung's first mandala in its religious context and the philosophy of Immanuel Kant, an important influence on Jung's psychology. [ABSTRACT FROM AUTHOR]