The occurrence of phi in dento-facial beauty of fine art from antiquity through the Renaissance.

R Constance Wiener, Regina M Wiener Pla
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Abstract

External beauty is a complex construct that influences lives and may be impacted by dentists. Beauty is not easily quantified, but one cited anthropometric of beauty is the ratio phi, the number 1.618033(...). This study examined phi as a measure of female frontal facial beauty in classic Western art, using pre- Renaissance (N = 30), and Renaissance (N = 30) artwork. Four horizontal and five vertical ratios were determined in the works of art, which were then compared with the phi ratio. All horizontal ratios for both pre-Renaissance and Renaissance artwork were similar to each other, but did not contain the phi ratio (P < 0.001). Nevertheless, all vertical ratios for pre-Renaissance and Renaissance art-work did contain the phi ratio within their confidence intervals with the exception of the vertical ratio, "intereye point to soft tissue menton/ intereye point to stomion", that was found to be less than phi in the Renaissance group. The study provides evidence of the presence of the phi ratio in vertical aspect of females in artwork from pre-Renaissance through the Renaissance demonstrating consistent temporal preferences. Therefore, the phi ratio seems to be an important consideration in altering vertical facial dimensions in full mouth rehabilitation and reconstructive orthognathic surgery involving females.

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从古代到文艺复兴时期美术中牙面美中phi的出现。
外在美是一个影响生活的复杂结构,可能会受到牙医的影响。美是不容易量化的,但一个被引用的人体测量美的比例是phi,数字1.618033(…)。本研究使用文艺复兴前(N = 30)和文艺复兴时期(N = 30)的艺术作品,考察了phi作为西方古典艺术中女性正面面部美的衡量标准。在艺术作品中确定了四个水平比例和五个垂直比例,然后将其与phi比率进行比较。文艺复兴前和文艺复兴时期艺术作品的所有水平比率彼此相似,但不包含phi比率(P < 0.001)。然而,所有文艺复兴前和文艺复兴时期的艺术作品的垂直比都包含在其置信区间内的phi比,除了垂直比,“眼间指向软组织突起/眼间指向气孔”,在文艺复兴时期的组中被发现小于phi。该研究提供了证据,证明从文艺复兴前到文艺复兴时期的艺术作品中女性纵向方面的phi比率表明了一致的时间偏好。因此,在女性全口康复和重建正颌手术中,phi比似乎是改变垂直面部尺寸的重要考虑因素。
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