Abstract
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.
Trial registration number: PROSPERO CRD42022302308
Introduction
The clinical ability to alter the dentofacial form requires an understanding of facial esthetics. Orthodontists, maxillofacial, and plastic surgeons have contributed to this ongoing effort by studying the human face and establishing guidelines for the reconstruction of facial dysmorphology. Understanding these guidelines is vital for any clinician involved in treatment that will alter a patient’s dentofacial appearance via orthodontics, facial growth modification, corrective jaw surgery, or plastic surgery. 1
The significance of facial beauty is immense with psychological, sociological, moral-philosophical, and scientific conceptions often intertwined. 2 Facial esthetics was based on many qualities and characteristics of a human face that may be responsible for it being perceived as beautiful; therefore, the perception of what constitutes facial beauty seems to be multifactorial which includes ideal proportions,3, 4 bilateral symmetry,5, 6 averageness,7, 8 sexual dimorphism,9, 10 culture, 11 and facial expression 12 which play an important role in determining facial beauty.
Of all these characteristics, facial proportions are a key area of interest in the field of orthodontics, maxillofacial, and plastic surgery. 13 The concept that “ideal” proportions are the secret of beauty is the oldest idea regarding the nature of beauty. Throughout the ages, painters and sculptors such as Vitruvius, 14 Leonardo da Vinci, 15 and Albrecht Durer 16 have attempted to establish the guidelines, norms, and standards have been proposed to describe ideal proportions in the human face. However, possibly the most famous of all axioms about ideal proportions is divine proportion.
After examining several divine ratios within the face, Matila Ghyka, 17 Seghers et al, 18 and Ricketts19, 20 advocated the use of these divine proportion ratios as a guideline during orthodontic treatment planning and orthognathic surgery. However, in recent studies, conflicting evidence regarding this correlation has emerged. The faces of professional models have not always been found to fit the golden proportion and studies have assessed the prevalence of the golden proportion in the general population rather than just attractive faces. Therefore, more research evidence is required to substantiate the true significance of this fascinating yet debatable concept in the clinical assessment of facial esthetics, suggesting the need to evaluate the relationship between divine proportion and facial esthetics.
Objectives
The objective of this systematic review was to determine whether there exists a correlation between divine proportions and facial esthetics.
Materials and Methods
Protocol and Registration
This systematic review was conducted as per the guidelines of Preferred Reporting Items for Systematic Reviews and Meta-Analyses
21
(PRISMA). This study was registered in the International prospective register of systematic reviews (PROSPERO) at the National Institute of Health Research database (PROSPERO,
Focused Participants, Investigation, Comparison, and Outcomes Question (PICOS)
The research question was formulated by using the PICO format as described in Table 1 as follows: “Do divine proportions influence the overall facial esthetic assessment in subjects with attractive facial profile over subjects with unattractive facial profile?”
Research Question in Participants Investigation Comparison and Outcome Format (PICOS).
Eligibility Criteria for Article Selection
Type of studies: Original research, randomized controlled trials. Publication period: Articles published from May 1982 to March 2021. Language restriction: Studies that are in the English language only. Studies with research work involving equal or more than 20 subjects.
Exclusion Criteria
Letters, editorials, abstracts, and unavailable full-text articles. Other than English language publications. Articles considering only dental esthetics but not facial esthetics. Studies with research work involving less than 20 subjects.
Information Sources and Literature Search
An extensive literature search was performed by 2 review authors (AS and GR) in multiple electronic databases such as PubMed, Medline, Embase, ScienceDirect, and ProQuest, which included all articles published from May 1982 to March 2021. An e-mail alert was set for the PubMed search which allowed updates for results during the process of review and alerts were checked regularly until May 2021. Moreover, hand searches were done from the references of relevant articles for additional studies. The list of search engines used and the results obtained using Medical Subject Headings (MeSH) terms and keywords are presented in Table 2.
List of Search Engines and the Result Obtained Using MeSH Terms and Keywords or Free-Text Words.
Search Strategy
The literature search, study inclusion, methodology, quality assessment, and data extraction were performed independently by 2 reviewers (AS and GR) and the results of the search were revised by the third and fourth authors (AK and MR). The search strategy employed a combination of MeSH terms and keywords or free-text words and the corresponding Boolean operators for PubMed and was optimized for each database respectively. An advanced search was performed in each database with a similar combination of MeSH terms and keywords. The details of MeSH terms and keywords and the combination of MeSH terms and keywords or free-text words used in the PubMed search strategy are shown in Table 3.
MeSH Terms and Keywords Used in This Study.
Study Selection
The eligibility of the identified studies was initially checked by screening their titles and abstracts. The full text of the relevant articles was read and judged against the inclusion/exclusion criteria for a final judgment. The process of study selection was performed by 2 independent review authors (AS and PR), and conflicts were resolved by contacting a third review author (PK).
Data Collection and Data Items
The process of data extraction was performed independently by 2 review authors (AK and PK), and disagreements were resolved via discussion with a third reviewer (GR). The following data items from each of the included articles were extracted: general information (the name of the authors, the year of publication, and study setting), methodology (study design and outcome comparison), participants (sample size, age, and gender), and outcome (correlation of divine proportion with esthetics, esthetic assessment, and attractiveness).
Risk of Bias Within the Studies
The risk of bias in the included studies was assessed by referring to the guidelines described in the Cochrane Handbook for Systematic Reviews of Interventions.22, 23 Risk-of-bias assessment was performed independently by 2 review authors (PR and MR). Any disagreement was resolved through a discussion with another review author (AS). The final risk of bias for each study was determined accordingly:
Low risk of bias: If all the parameters were evaluated to be of “low risk.” Moderate risk of bias: If one or more parameters were evaluated to be “unclear.” High risk of bias: If any of the parameters were evaluated to be of “high risk.”
Results
Study Selection
A total of 2,736 articles were retrieved from the databases through the search process. After the removal of duplicates, 794 articles remained which were screened based on their titles and abstracts. A final sample of 53 articles was read in the full text of which 14 original articles subsequently met the inclusion criteria. The selection and identification processes of the study were presented as a PRISMA flow diagram as shown in Figure 1.

Study Characteristics
The characteristics of the included studies were summarized as shown in Table 4. Fourteen original articles were included in this review,19, 24–36 of which 4 studies assessed divine proportions using the photographs of professional models, 3 studies evaluated divine proportions between the pretreatment and posttreatment subjects, 5 studies evaluated divine proportions between the photographs of attractive and unattractive individuals, 1 study appraised the divine proportions between professional models and the general population, and 1 study assessed the divine proportions between original and manipulated photographs.
Characteristics of Included Studies.
Risk of Bias
The results of the risk of bias assessment in the included studies, which we performed according to the Cochrane Handbook for Systematic Reviews of Interventions using the ROBVIS tool depicted as Traffic Light plot as shown in Figure 2 and Summary plot as shown in Figure 3. Based on these criteria, 5 studies showed a low risk, 6 showed a moderate risk of bias, and 3 showed a high risk of bias.


Discussion
This review provided an insight into the relationship between divine proportions and facial esthetics. It is worth mentioning that no previous systematic review has addressed the correlation between divine proportion and facial esthetics. Ricketts19, 20 was the first to stipulate instead of resorting to subjective perception. Facial beauty can be mathematically analyzed using divine proportions and strongly suggested that esthetics can indeed be made scientific rather than resorting to subjective perceptions. Ricketts measured facial proportions using a golden divider which depicts phi relationships between the two inside dimensions, when expanded on facial photographs an increase will always occur in the exact same proportion and maintain the phi relationship between the measured landmarks. However, the facial golden ratio was analyzed by Ricketts using a small sample of only 10 frontal view photographs of professional models taken from magazine advertisements and furthermore, no statistical comparison was made with a similar unattractive group or general population which questions the validity of the study.
Using 3-dimensional facial scans, Moss et al 24 and Rossetti et al 31 investigated the role of the golden proportions in evaluating facial esthetics. Moss et al 24 used optical-surface laser scanning, whereas Rossetti et al 31 used 3-dimensional stereophotogrammetry imaging system (Vectra-3D; Canfield Scientific Inc) for 3-dimensional image acquisition and measurement of facial ratios. Both studies concluded that the ratios between the 3-dimensional facial distances were not related to attractiveness because most of the facial ratios were different from the golden ratio.
Baker et al 25 and Shell et al 26 investigated the role of divine proportions in the esthetic improvement of patients undergoing combined orthodontic and orthognathic-surgical treatment. The facial measurements were hand-traced on photographs and facial ratios were calculated after evaluation. Most subjects were considered esthetic after treatment but no correlation was evident between the change in facial esthetic rating and the facial proportion ratios approximating toward divine ratio. In contrast, Garrido et al 32 esthetically assessed class III patients requiring orthodontic-orthognathic surgical treatment according to the divine proportion. Subjects appeared esthetic after the treatment and most facial ratios presented a statistically significant difference approximating the golden ratio.
Medici Filho et al 27 investigated the relationship between divine proportions and facial esthetics in frontal photographs before and after the manipulation of facial proportions toward divine ratio. The photographs were digitized and transferred to PowerPoint software (Microsoft Corporation) for calibration and measurement. It was observed that manipulated photographs showed better esthetic rating than original photographs which implied the existence of a relationship between divine proportion and facial aesthetics.
Kiekens et al 28 and Malkoc and Fidancioglu 33 analyzed the relationship between facial esthetics and putative golden proportions in attractive adolescents. In both studies measurements were made on frontal photographs using Sigma Scan Software (Systat Software GmbH). After the evaluation, however, only a few golden proportions exhibited a significant relationship with facial esthetics in adolescents. On the contrary, Mizumoto et al 29 assessed facial golden proportions among young Japanese women between popular actresses and the general population using image processing software (NIH Image, version 1.62, National Institutes of Health). On calculating, popular actresses had golden proportions in all measurements whereas other group consisting of the general population had facial proportions that deviated from the golden proportion (ratio). The authors concluded that divine proportions might be useful in determining facial esthetics.
Pancherz et al 30 compared attractive and nonattractive faces of females and males with respect to the presence of divine proportion. All the measurements were hand-traced directly on facial photographs and the proportions were calculated manually and concluded that divine proportions are not absolute determinants and partially related to facial attractiveness. Akan et al 34 evaluated facial proportions to determine the correlation between facial attractiveness and divine proportions between attractive and nonattractive subjects. The measurements were made using Image J software (version 1.44; National Institutes of Health) and the findings revealed that divine proportion had little effect on attractiveness.
Mantelakis et al 35 assessed the facial ratios of professional Black models using a Facial Ratio Calculator (The Accounting Resources Centre) and correlated the ratios with the golden proportion and concluded that no correlation was found between the facial ratios of the models and golden proportion. Burusapat and Lekdaeng 36 calculated the facial ratios of Miss Universe and Miss Universe Thailand. The distances and ratios of facial proportions were measured using Acrobat Reader version XI (Adobe Systems) and these facial ratios were correlated with golden proportion. The investigators concluded that modern facial proportions of beauty are different from those of the past and facial divine ratios were significantly invalid in the context of modern facial proportions of beauty.
Of all the investigations, only 3 studies by Medici Filho et al, 27 Mizumoto et al, 29 and Garrido et al 32 are in accordance with Ricketts hypothesis. Other studies done by Moss et al, 24 Baker et al, 25 Shell et al, 26 Kiekens et al, 28 Pancherz et al, 30 Rossetti et al, 31 Siddik Malkoc and Fidancioglu, 33 Akan et al, 34 Mantelakis et al, 35 Burusapat and Lekdaeng 36 are in contrast with Ricketts hypothesis.
Peck and Peck, 37 Hönn and Göz, 38 and Martin 39 suggested that the human perception of what constitutes facial beauty seems to be multifactorial with genetic, environmental, and cultural foundations. The researchers confirmed the presence of a cross-cultural agreement regarding facial attractiveness. Because we live in a multiethnic society, it is important to have norms for various groups which illustrate the need for individualistic treatment of each facial ratio and an improved understanding of the potential link between facial attractiveness and proportions.40–42
Strength, Limitations, and Future Directions
An extensive literature search of all eligible studies with comprehensive qualitative reporting was undertaken and a sufficient number of articles were included. In this systematic review, language restriction was applied and only publications in English were included. Thus, trials published in other languages could have been missed in this review. In each study, sample selection was limited to a particular race or ethnic group. Hence, we suggest future studies on samples of multi-ethnic origin for evaluation of evidence regarding the correlation between divine proportions and facial esthetics. Of the included studies, only 2 studies by Moss et al24 and Rossetti et al31 used 3-dimensional imaging and analysis rather than 2-dimensional photographs which can be advantageous. Therefore, we suggest the use of 3-dimensional facial acquisitions in future studies which would allow the freedom to analyze the whole face and calculate the distances between 2 landmarks, by considering their natural position on different planes.
Conclusion
Based on existing evidence, the following conclusions can be drawn regarding the correlation between divine proportions and facial esthetics.
Divine proportions are not absolute determinants and are only partially related to facial attractiveness. Divine proportions appear to have little influence on overall aesthetic outcomes and most facial divine ratios are significantly invalid for considering modern proportions of facial beauty. Overall based on these findings, we suggest that there exists a weak correlation between divine proportions and facial esthetics. Therefore, if divine proportion is employed in diagnosis and treatment planning, it should be employed only as a guideline together with other methods already established in the literature.
Footnotes
Declaration of Conflicting Interests
The authors declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.
Funding
The authors received no financial support for the research, authorship, and/or publication of this article.
Statement of Informed Consent and Ethical Approval
Necessary ethical clearances and informed consent was received and obtained respectively before initiating the study from all participants.
