• 제목/요약/키워드: The golden ratio

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A STUDY OF GOLDEN PROPORTION APPLICATION IN KOREAN NORMAL DENTITION (조화된 치열의 황금분할에 관한 연구)

  • Ryu, Seong-Hee;Chung, Kyu-Rhim
    • The korean journal of orthodontics
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    • 제17권1호
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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.

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Golden proportion assessment between maxillary and mandibular teeth on Indian population

  • Chander, Naveen Gopi;Kumar, Vaikunth Vijay;Rangarajan, Vedantham
    • The Journal of Advanced Prosthodontics
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    • 제4권2호
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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.

Horizontal Ratio of the Korean University Student's Face and Facial Golden Mask (황금 분할 마스크를 이용한 대학생 안면의 수평적 분석)

  • Lee, Jun Ho;Park, Gun Wook;Kim, Yong Ha
    • Archives of Plastic Surgery
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    • 제35권5호
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    • pp.514-520
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    • 2008
  • Purpose: Many attempts have been made to describe ideal facial proportions for over two thousands year and constantly lasted till now. Dr. Marquardt has derived supposedly ideal facial proportions from the facial golden mask using golden ratio of 1 : 1.618. On the other hand, facial reducing surgeries such as mandible angle reduction are popularized in Asia because the width of mid and lower face of Korean is recognized to be wider. The purpose is to analyze characters of Korean university students' faces in horizontal plane and establish the objective data for facial width distributions and clinical applications. Methods: We applied the facial golden mask to the photographs in 1000 cases, compared the width of mid and lower face between the facial golden mask and Korean university students' faces. And we first calculated the horizontal ratio(HR) of middle and lower face each for using comparative scale of width, facial golden mask. We divided 1,000 cases into 3 groups by degrees of HR and analyzed data of HR on each groups. Using calculated horizontal ratio, we newly invented the cumulative frequency of distribution graphs in Korean university students' faces. Results: Mean data of HR were over 1.0 in all groups, which means that Korean university students' faces are typically wider than facial golden mask in horizontal planes. And this study was statistically significant(p- value < 0.05). Clinically using the cumulative frequency distributions of Korean university students' face width, we can easily explain changes of facial width to patient after facial reducing surgery and describe the changes into objective data. Conclusion: This study concludes thatKorean university students' faces are wider than facial golden mask is significantly true and the cumulative frequency of distribution graphs are expected to be widely used for comparison of results in facial reducing surgery.

An Investigation on the Golden Ratio and Colour Harmony in Nature -Mainly Around Examples of Interior Design- (자연에 내재하는 황금비례와 색채조화에 관한고찰-실내디자인에 나타난 사례를 중심으로 -)

  • 박효철
    • Korean Institute of Interior Design Journal
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    • 제8호
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    • pp.23-31
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    • 1996
  • The purpose of this study was to prove that there is inherently golden ratio and color harmony in nature and to investigate some examples that have applied this elements in and out of construction . This is to provide a momentum to explore another new principles of nature and apply them to not only interior but also another design field. Under this purpose, the author of this study reviewed general theories on golden ratio and colour harmony and related them to leaves of plant and flowers to consider. As a result, it has revealed that theoretical golden ratio and colour harmony coincide with the order of nature, and this has made the author to investigate certain examples applied some orders owe can see in the plants to the interior or exterior parts of construction. There are lots of principles in nature still unrevealed to us, and therefore we must consistently make efforts to study new formative orders to apply them.

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Kansei Comparison of Form-ratio between Cubic Model and Refrigerator

  • Nishino, Tatsuo;Nagamachi, Mitsuo
    • Proceedings of the Korean Society for Emotion and Sensibility Conference
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    • 한국감성과학회 2000년도 춘계 학술대회 및 국제 감성공학 심포지움 논문집 Proceeding of the 2000 Spring Conference of KOSES and International Sensibility Ergonomics Symposium
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    • pp.133-137
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    • 2000
  • Form-ratio means the ratio of Height/Width/Depth in 3-dimensions. The golden ratio or golden section is included as one of the form-ratio. Kansei Engineering System has some basic design databases. Form-ratio and color are basic design elements and they are very important for designing various products in viewpoint of Kansei Engineering. The subjects evaluate the form-ratios of 3-dimensional cubes and virtual products (refrigerator) with SD-scale kansei words(feelings and images). The golden ration was evaluated as "not beautiful" in refrigerator. We compared with the kansei of cube model and virtual product, and obtained databases of the relationship between the form-ratio and kansei.

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Evaluation of the effects of mandibular angle sagittal ostectomy and botulinum toxin type A treatment using facial golden mask (황금마스크를 이용한 하악각시상골절제술과 보툴리눔독소 치료법의 평가)

  • Shin, Seung-Kyu;Kim, Yong-Ha;Kim, Tae-Gon;Lee, Jun-Ho;Ahn, Ki-Young
    • Archives of Plastic Surgery
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    • 제36권4호
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    • pp.469-474
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    • 2009
  • Purpose: A lower facial contouring surgery has become a commonly performed procedure in Asia. Currently, mandibular angle sagittal ostectomy and botulinum toxin type A treatment are main procedures for aesthetic correction of a broad lower face. There are a few date to show the differences in the mandibular contouring changes between mandibular angle splitting ostectomy and botulinum toxin type A treatment. Facial golden mask is easy to apply, inexpensive, and relatively objective for evaluation of facial contour analysis. This study was designed specifically to compare the changes in lower face width after two different forms of lower facial contouring procedure using facial golden mask. Methods: Seventeen patients, aged 18 to 55 years (mean, 28.6 years), 15 women and 2 men, consented to the study and receive a contouring procedure of lower face. The patients were classified in to 2 groups. In group A, the sample consisted of 10 patients with a prominent squared mandibular angle and mandibular angle splitting ostectomy was performed. In group B, the sample consisted of 7 patients with masseteric hypertrophy and botulinum toxin type A treatment was performed. Photographs of the face were taken to record the facial change at preoperative and postoperative. The postoperative photographs were taken to considered maximal effect at 2 years after surgery in group A and 4.8 months after treatment in group B. The authors applied the facial golden mask to preoperative and postoperative photographs and horizontal ratio, which compares facial width with golden mask width, were calculated. We made an analysis of the result of horizontal ratio using SPSS. Results: Overall average horizontal ratio of pre- and postoperative photos of group A were 1.24 and 1.11, whereas overall average horizontal ratio of pre- and postoperative photos of group B were 1.19 and 1.12. The horizontal ratio decreased 10.24% in group A and 5.93% in group B. There was a statistically significant change in before and after treatment, but there was no significant change in comparing the group A and group B. Conclusions: The result from this study suggest that mandibular angle sagittal ostectomy and botulinum toxin type A treatment showed relatively satisfactory clinical effects on lower facial contouring treatment. There was no statistical significant difference within two lower facial contouring treatment. Facial golden mask is easy to apply, inexpensive, and relatively objective, so we think that facial golden mask is a good method for evaluation of lower facial contouring treatment.

Proportions of the aesthetic African-Caribbean face: idealized ratios, comparison with the golden proportion and perceptions of attractiveness

  • Mantelakis, Angelos;Iosifidis, Michalis;Al-Bitar, Zaid B.;Antoniadis, Vyron;Wertheim, David;Garagiola, Umberto;Naini, Farhad B.
    • Maxillofacial Plastic and Reconstructive Surgery
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    • 제40권
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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.

황금비에 대한 통계적 고찰

  • 차경준;박영선;박진희
    • Journal for History of Mathematics
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    • 제13권2호
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    • pp.105-120
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    • 2000
  • In this study, it is certified that the golden ratio exists in the plants, the animals and human bodies(appearance), and is considered how much the ratio of positive and negative is in the psychological, political, social and cultural aspects. The result of this study shows that the golden sections or golden rectangles of the plants(N=58), the insects(N=44), the animals(N=21) and human bodies(N=260) are equal to $0.620{\pm}0.117$, $0.632{\pm}0.203$, $0.625{\pm}0.138$ and $0.60{\pm}0.169$, respectively. The slope in the regression analysis is equal to 0.627(R-square=0.925, p-value=0.0001). Whereas, for the public opinion poll, the ratios($mean{\pm}st.dev.$) of positive and negative of the public mental phenomena are equal to $0.508{\pm}0.179$, $0.808{\pm}0.216$ and $0.711{\pm}0.128$ in the political, economical, and sociocultural aspects, respectively. The slope in the regression is equal to 0.674(R-square=0.764, p-value=0.016). As results, we show that the golden ratio exists in the plants, the animals and human bodies in nature. This shows that the public mental phenomena has some more negative aspects than positive aspects and explains the shrinkage of the public mental phenomena in the economical field.

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Does the maxillary anterior ratio in Korean adults follow the Golden Proportion?

  • Jin, Ming-Xu;Hong, Min-Ho;Lee, Kee-Joon;Lee, Kyu-Bok
    • The Journal of Advanced Prosthodontics
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    • 제8권2호
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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.