Abstract

AbstractThe purpose of this study was to establish ratios between distinctive signature facial measurements such as head width and length, height and arm span, and forehead and lower face, and to compare them across gender and race. Twenty-eight subjects between the ages of 16 and 17, from the “Summer Ventures in Science and Mathematics” program at Appalachian State University, served as the sample for determining the relationships between certain facial measurements and later analyzing them specifically to find correlations between their measurements and Mona Lisa’s Golden Ratio measurements. Measurements, obtained by examining body and head images of students in ImageJ, of height, arm span, and head dimensions were gathered from all 28 subjects. Patterns and ratios were then discovered for the entirety of the data as well as for two subgroups—gender and race. After statistically analyzing the ratios, it was apparent that body measurements have a high correlation with racial background. It was concluded that the Golden Ratio is solely an ideal ratio that is not manifested within humans today; instead, it is seen prominently in nature, architecture, and art.KeywordsGolden RatioHead WidthAppalachian State UniversityLower FaceHead DimensionsThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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