• The Journal of Advanced Prosthodontics
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• v.4 no.2
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• pp.72-75
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• 2012

PURPOSE. This study evaluated the existence of golden proportion between the widths of the maxillary and mandibular anterior teeth in Indian population. MATERIALS AND METHODS. The clinical tooth width measurements were recorded with the digital vernier calipers on 576 patients of both sexes in the age group of 21 - 30 years. Flexible ruler was used to determine the width of maxillary and mandibular anterior teeth on the patients by the same operator. The data obtained was statistically analyzed using paired student t-test (${\alpha}$=.05). RESULTS. The golden proportion was not found between the width of the right central and lateral incisors in 53% of women and 47% of men. The results revealed the golden percentage was rather inconstant in terms of relative tooth width. CONCLUSION. The golden proportion is an inappropriate method to relate the successive widths of the maxillary anterior teeth in Indian population.

• Maxillofacial Plastic and Reconstructive Surgery
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• v.40
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• pp.20.1-20.10
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• 2018

Background: In the absence of clear guidelines for facial aesthetic surgery, most surgeons rely on expert intuitive judgement when planning aesthetic and reconstructive surgery. One of the most famous theories regarding "ideal" facial proportions is that of the golden proportion. However, there are conflicting opinions as to whether it can be used to assess facial attractiveness. The aim of this investigation was to assess facial ratios of professional black models and to compare the ratios with the golden proportion. Methods: Forty photographs of male and female professional black models were collected. Observers were asked to assign a score from 1 to 10 (1 = not very attractive, 10 = very attractive). A total of 287 responses were analysed for grading behaviour according to various demographic factors by two groups of observers. The best graded photographs were compared with the least well-graded photographs to identify any differences in their facial ratios. The models' facial ratios were calculated and compared with the golden proportion. Results: Differences in grading behaviour were observed amongst the two assessment groups. Only one out of the 12 facial ratios was not significantly different from the golden proportion. Conclusions: Only one facial ratio was observed to be similar to the golden proportion in professional model facial photographs. No correlation was found between facial ratios in professional black models with the golden proportion. It is proposed that an individualistic treatment for each ratio is a rather better method to guide future practice.

• The korean journal of orthodontics
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• v.17 no.1
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• pp.93-106
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• 1987

The purpose of this study was to investigate the fittness of Golden relation items was advocated by Ricketts whether or not it is applicable to the young adult Korean dentitions and also to evaluate the several new Golden relation items conducted by the author. The material was consisted of 81 dental casts (34 male, 47 female) with ideal occlusion, which never undergone orthodontic, prosthodontic procedures. Measurements were made on the arch dimensions using sliding caliper (Mitutoyo. Co) and data were computerized and analyzed. The findings of this study were as follows, 1. The Golden proportion advocated by Ricketts dose not seem to directly applicable to the Korean normal dentition, however, the modification from the Ricketts' original shows the Golden proportion as follow: A first series of progressive Golden relations was found on the Golden ratio among the lower central incisors width, the inter mesioincisal width of the upper lateral incisors, and the upper first premolars width. A second series was found on the Golden ratio among the lower lateral incisors width, lower inter canine tips width and theupper first molar distal cusp tips width. A third series was found on the Golden ratio between the inter distal aspect width of e lower canine and the mesial cusp tips width of the lower second molars or inter cusp tips width of upper second premolars. 2. In addition to Ricketts' original, 4 new Golden proportions were found in young adult Korean dentition, these are as follows; The tips of lower canine width had Golden relation with the width of the upper first premolar buccal cusp tips or the width of the lower first molar central fossae. The distal aspect of the lower first premolars had Golden relation with the buccal surface widths of the lower or upper second molars. The width of upper lateral incisors had Golden relation with the upper second molar height. The width of the lower canine tips had Golden relation with the lower second molar height.

• Archives of design research
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• v.13 no.4
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• pp.155-162
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• 2000

Is golden proportion, which has been classical beauty among aesthetic rules and orders, avaiable in the present \ulcorner or Does ${\surd}$rectangle proportion replace the classical proportion \ulcorner It is a main theme in this thesis to answer the above questions. This study is basically about favorite proportion in the field of fine art, architecture and design. For this study, 2oo students participate in the answering to the questionnaire. The conclusions which result from the above surveys are as follows ; The results of the first survey is the preference of ${\surd}$2 rectangle to other ${\surd}$rectangles. The second result is the preference of golden proportion as 1 : 1.618 to ${\surd}$2 rectangle as 1 : 1.414. This survey proves that ${\surd}$rectangle proportion as modern proportion does not substitute the golden proportion with the classic proportion.

• International Journal of Contents
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• v.6 no.3
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• pp.71-82
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• 2010

The golden ratio is a mysterious number that surprisingly appears in science, physics, mathematics, as well as in nature. The number 1.618 seems to be a universal constant, and crops up whenever the subject is of beauty or elegance. Beautiful flowers and sea shells and also attractive people have a common number and that is 1.618 or $\varphi$ (phi). This paper does a study into the story of phi, and describes how the golden ratio is derived. Artists, architects and designers have employed the ratio into dimensioning their works of art to achieve visual appeal. Examples such as the Greek Parthenon of the Acropolis and paintings such as the Last Supper all use this magic number. An investigation was conducted among 50 people to test if looking at golden proportioning was actually appealing, or if it was just a type among overzealous enthusiasts. The results show that the golden ratio may actually be of some use.

• The Journal of Advanced Prosthodontics
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• v.8 no.2
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• pp.125-130
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• 2016

PURPOSE. The purpose of this study was to determine the effect of changes in the horizontal plane angle on the mesiodistal width ratios of the maxillary anterior teeth during the acquisition of frontal view photographs, derive these ratios for Korean adults on the basis of the data obtained, and analyze them using the Golden Proportion as a reference. MATERIALS AND METHODS. In experiment I, 30 plaster casts were mounted on an articulator and positioned on the angle-measuring device with a center setting of $0^{\circ}$. The device was rotated to $10^{\circ}$ in $1^{\circ}$ increments in a counterclockwise direction. At each angle, photographs were obtained and analyzed. Experiment II was based on 60 patients who visited the Department of Prosthodontics at Kyungpook National University Dental Hospital from February 2012 to February 2015. The patients were divided into three groups [Male (M), Female (F), Total (M + F)]. Frontal views were obtained for all groups and analyzed. RESULTS. From $1^{\circ}$ to $10^{\circ}$, the relative mesiodistal width ratios for the maxillary anterior teeth showed no significant differences from those at $0^{\circ}$. In all three groups, the relative width ratio of the maxillary central incisor was smaller than that specified in the Golden Proportion; the opposite was true for the canine. CONCLUSION. Our results suggest that the mesiodistal width ratios of the maxillary anterior teeth do not follow the Golden Proportion in Korean adults, and that a change in the horizontal plane angle from $1^{\circ}$ to $10^{\circ}$ during frontal photography does not affect these ratios.

• Archives of design research
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• v.15 no.2
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• pp.115-124
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• 2002

There has been no enough consistency about the question of 'Is it possible for golden section to be applied to product design\ulcorner'In addition, There has been no near answer about 'What is proportion\ulcorner and 'How can proportion be approached\ulcorner About this matter, this study identified various types of proportion through experiment design and consumer surrey. According to the results of this study, various and different types of proportion exist in product design and therefore, proportion in product design couldn't be considered by one-dimensional aesthetic element. This kind of study about the types of proportion could give an good answer abort the matter of 'Is it possible for golden section to be applied to product design\ulcorner'and it's expected practically to give a useful insight to the approach of Product design in Which proportion is considered. In addition, preferred proportion structure is different according to the consumer characteristic, successful design strategy such as niche market penetration could be performed if designers classify consumer characteristic systematically.

• Journal for History of Mathematics
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• v.19 no.1
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• pp.43-54
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• 2006

The purpose of this paper, followed by 'Nature$\cdot$Human, and Golden Section I ', is to study aesthetic consciousness, mentality model and body proportion of human, and the golden section applied to architecture and hand axe of stone age. In particular, handaxes of one million years ago have shown that they had critical competency to the basis of art and mathematics in the future. Furthermore, without pen, paper and ruler, the existence of mentality model made fundamental conversion of mathematics possible. Different sizes of handaxes were made by maintaining the equal golden section. This was the first example in relation to the principle mentioned in 'Stoicheia' by Euclid which was published hundred thousands of years later.

• Science of Emotion and Sensibility
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• v.5 no.1
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• pp.49-60
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• 2002

The aims of the study are first, in other to meet the demand for a new product design process, to review the prototype theory and to find out the conceptual structure of product aesthetics, which is another properly thought to be as important as the typical pattern in an effort to patch up the theory second to help designers overcome the limits of idea generation and create consumer oriented designs with a high success rate by setting up a new product design process that is established through the application of the aesthetically influential factor 'proportion'based on the preceeding studies that tested product aesthetics measuring devices. In other words, this study tries to find out product categories, making use of the prototype theory to introduce an ideal proportion for product design, recognizing the importance of proportion by conducting product pattern analysis: to create a differentiated method that can product consumer oriented designs, even if it only manipulate proportion and to establish a new design process that can systematically explain the methodology for various form generation that applies proportion. This study reviews the theoretical aspects of concepts pertaining to the above … and, based on them, empirically tests them by patting to use the programs, for proportion manipulation. This study was conducted in the following way: To begin with, this study takes out proportion out of some aesthetically influential factors that has a great impact on the way consumers prefer certain product designs and tries to see how proportion affects the consumer preference when consumers select a product. In addition, we could analyze the difference between the ideal proportion that consumers prefer and the traditional golden proportion produced through theoretical studies. The correlations between preferred proportion and ideal proportion, and preferred proportion and golden proportion could be shown. In order that we may create form variations through more detailed proportion manipulation on the basis of the ideal proportion verified as preferable, we again applied the proportion factor to the process utilizing PDS(proportion Distortion System). In the way the restraint of form generation could be pursued. All in all, this study makes an attempt to set up a design process to create new product forms through the application of Proportion.

• Journal of the Korea Fashion and Costume Design Association
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• v.11 no.2
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• pp.1-10
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• 2009

The purpose of this study is to investigate harmonious color schemes based on a length proportion of upper and lower parts of a body by; understanding of the harmonious length proportion of a square measure of a color in color coordination of fashion design, and presenting a mutual relation of the length proportion of a square measure of a color according to the various way of color schemes and proportions. For this study, monochromatic scheme, analogous scheme and complementary scheme were adapted as the color schemes, and each color scheme was coordinated by analogous tone and contrast tone. Also, 1:1 symmetry proportion, 1:2 harmonic proportion, 1:1.618 golden section, 1:3 and 1:5 contrast proportion were used as the square measure of a color. For the survey, 12 sets of color sample were organized. The survey was conducted 182 of university students majored in fashion design, and 143 responded samples were analyzed using SPSS 12. The result of the study is as follows: 1:5 contrast proportion is most inharmonious in general, and 1:1 symmetry proportion is followed. It is thought that too much or same length of the square measure of colors has less attractive effect of coloring. On the other hand, 1:1.618 golden section and 1:2 harmonic proportion are accepted to be harmonious in all color schemes. The length proportion of the square measure of a color had more influence on harmony of color coordination in fashion design rather than color schemes. Though, on the assumption that people have a similar perception about the color image of fashion design, it will play an important role in strengthening or diminution of color in cloth if the coloring effect of the length proportion of the square measure of a color is used in fashion design and wearing of clothes.