The Golden Triangle Method: A Novel Simulation Framework for Rhinoplasty Design

Overview

Rhinoplasty simulation usually relies on the surgeon's eye. The Turkish authors propose the Golden Triangle: an isosceles triangle with a 36-degree apex, scaled to facial proportions, that determines where key nasal landmarks should sit. Thirty women aged 18-30 seeking primary rhinoplasty were simulated in GeoGebra and Photoshop; 20 board-certified plastic surgeons (17 after outlier exclusion) and the patients rated pre- and post-simulation images on a 0-100 scale.

Sections of note

• Patient ratings: 41.3 (SD 10.1) to 81.9 (SD 3.3), p < .001, Cohen's d 5.41.
• Surgeon ratings: 34.7 (SD 6.3) to 72.6 (SD 4.4), p < .001, Cohen's d 7.02.
• Coefficient of variation fell 66.2% (patients) and 53.7% (surgeons), meaning raters agreed more.
• Technical parameters reached "ideal" consensus in 93-97% of cases.
• Nasal ratios and angles converged on population-specific reference values. Level of Evidence IV.

What it means for a patient

• This is a way of designing the target nose on a computer, not a surgical result; no one was operated on in this study.
• The method produced simulations that both patients and surgeons rated as more attractive than the original.
• It was tested on one demographic (young Turkish women) and may not transfer to other faces.

Why this paper matters

It offers a reproducible, low-cost geometric standard for simulation, replacing eyeballing. Limits: simulations only, homogeneous sample, proof of concept.

Terms

• Simulation (morphing): editing a photograph to show a proposed surgical result.
• Isosceles triangle: a triangle with two equal sides.
• GeoGebra: free geometry software.
• Cohen's d: an effect size; above 0.8 is large.
• Coefficient of variation: spread of ratings relative to their mean.