References

Clinical anthropometry & proportion systems

The measurement conventions the scan is built on: reference landmarks, norm tables, and the history — and criticism — of classical proportion systems.

1. Farkas, L. G. (Ed.). (1994). Anthropometry of the Head and Face (2nd ed.). New York: Raven Press. Reference textThe canonical anthropometric norm tables for the human head and face.
2. Vegter, F., & Hage, J. J. (2000). Clinical anthropometry and canons of the face in historical perspective. Plastic and Reconstructive Surgery, 106(5), 1090–1096. DOITraces the neoclassical facial canons and shows real faces often deviate from them.
3. Naini, F. B. (2011). Facial Aesthetics: Concepts and Clinical Diagnosis. Chichester: Wiley-Blackwell. Publisher Reference text
4. Naini, F. B., & Gill, D. S. (2008). Facial aesthetics: 2. Clinical assessment. Dental Update, 35(3), 159–170. PMID 18507224
5. Naini, F. B., & Gill, D. S. (Eds.). (2017). Orthognathic Surgery: Principles, Planning and Practice. Oxford: Wiley-Blackwell. Publisher Reference text
6. Mommaerts, M. Y., & Moerenhout, B. A. M. M. L. (2011). Ideal proportions in full face front view, contemporary versus antique. Journal of Cranio-Maxillofacial Surgery, 39(2), 107–110. DOI
7. Ricketts, R. M. (1968). Esthetics, environment, and the law of lip relation. American Journal of Orthodontics, 54(4), 272–289. DOIIntroduced the E-line, one of several standard profile reference planes.
8. Ricketts, R. M. (1982). Divine proportion in facial esthetics. Clinics in Plastic Surgery, 9(4), 401–422. DOI
9. Ricketts, R. M. (1982). The biologic significance of the divine proportion and Fibonacci series. American Journal of Orthodontics, 81(5), 351–370. DOI
10. Bashour, M. (2006). History and current concepts in the analysis of facial attractiveness. Plastic and Reconstructive Surgery, 118(3), 741–756. DOI
11. Holland, E. (2008). Marquardt's Phi mask: Pitfalls of relying on fashion models and the golden ratio to describe a beautiful face. Aesthetic Plastic Surgery, 32(2), 200–208. DOIDocuments why a single golden-ratio mask fails as a general standard — we cite the criticism deliberately.

Averageness, symmetry & first impressions

The population-level findings behind harmony and symmetry scoring — including the studies that limit how much symmetry explains.

1. Langlois, J. H., & Roggman, L. A. (1990). Attractive faces are only average. Psychological Science, 1(2), 115–121. DOI
2. Langlois, J. H., Roggman, L. A., & Musselman, L. (1994). What is average and what is not average about attractive faces? Psychological Science, 5(4), 214–220. DOI
3. Langlois, J. H., Kalakanis, L., Rubenstein, A. J., Larson, A., Hallam, M., & Smoot, M. (2000). Maxims or myths of beauty? A meta-analytic and theoretical review. Psychological Bulletin, 126(3), 390–423. DOIThe field's central meta-analysis: raters agree on attractiveness within and across cultures.
4. Grammer, K., & Thornhill, R. (1994). Human (Homo sapiens) facial attractiveness and sexual selection: The role of symmetry and averageness. Journal of Comparative Psychology, 108(3), 233–242. DOI
5. Gangestad, S. W., Thornhill, R., & Yeo, R. A. (1994). Facial attractiveness, developmental stability, and fluctuating asymmetry. Ethology and Sociobiology, 15(2), 73–85. DOI
6. Rhodes, G., Sumich, A., & Byatt, G. (1999). Are average facial configurations attractive only because of their symmetry? Psychological Science, 10(1), 52–58. DOI
7. Perrett, D. I., Burt, D. M., Penton-Voak, I. S., Lee, K. J., Rowland, D. A., & Edwards, R. (1999). Symmetry and human facial attractiveness. Evolution and Human Behavior, 20(5), 295–307. DOI
8. Rhodes, G. (2006). The evolutionary psychology of facial beauty. Annual Review of Psychology, 57, 199–226. DOI
9. Rhodes, G., Yoshikawa, S., Palermo, R., Simmons, L. W., Peters, M., Lee, K., Halberstadt, J., & Crawford, J. R. (2007). Perceived health contributes to the attractiveness of facial symmetry, averageness, and sexual dimorphism. Perception, 36(8), 1244–1252. DOI
10. Foo, Y. Z., Simmons, L. W., & Rhodes, G. (2017). Predictors of facial attractiveness and health in humans. Scientific Reports, 7, 39731. DOI
11. Kleisner, K., Tureček, P., Saribay, S. A., et al. (2024). Distinctiveness and femininity, rather than symmetry and masculinity, affect facial attractiveness across the world. Evolution and Human Behavior, 45(1), 82–90. DOIAcross 1,550 faces from 10 countries, symmetry did not independently predict attractiveness for either sex — a limit we score within.
12. Willis, J., & Todorov, A. (2006). First impressions: Making up your mind after a 100-ms exposure to a face. Psychological Science, 17(7), 592–598. DOITrait judgments made after 100 milliseconds track judgments made without time pressure.

Sexual dimorphism

Why male and female faces are scored against different reference ranges.

1. Perrett, D. I., Lee, K. J., Penton-Voak, I., et al. (1998). Effects of sexual dimorphism on facial attractiveness. Nature, 394(6696), 884–887. DOIExtreme masculinization is not preferred — a boundary our male scoring respects.
2. Penton-Voak, I. S., Perrett, D. I., Castles, D. L., et al. (1999). Menstrual cycle alters face preference. Nature, 399(6738), 741–742. DOI
3. Thornhill, R., & Gangestad, S. W. (1999). Facial attractiveness. Trends in Cognitive Sciences, 3(12), 452–460. DOI
4. Little, A. C., Jones, B. C., & DeBruine, L. M. (2011). Facial attractiveness: Evolutionary based research. Philosophical Transactions of the Royal Society B, 366(1571), 1638–1659. DOI
5. Liu, A. S., Salinas, C. A., & Sharaf, B. A. (2023). Using artificial intelligence to quantify sexual dimorphism in aesthetic faces: Analysis of 100 facial points in 42 Caucasian celebrities. Aesthetic Surgery Journal Open Forum, 5, ojad046. DOICanthal tilt in aesthetic reference faces: 6.51°±2.67° (men), 8.50°±2.10° (women).
6. Lakhiani, C., & Somenek, M. T. (2019). Gender-related facial analysis. Facial Plastic Surgery Clinics of North America, 27(2), 171–177. DOI

Eyes & brows

The periorbital measurements: canthal tilt, intercanthal distance, fissure morphometry, and brow position.

1. Bashour, M., & Geist, C. (2007). Is medial canthal tilt a powerful cue for facial attractiveness? Ophthalmic Plastic and Reconstructive Surgery, 23(1), 52–56. DOIRaters preferred accentuated medial canthal tilt in female faces 93% of the time (p<0.0001).
2. Naran, S., Wes, A. M., Mazzaferro, D. M., Bartlett, S. P., & Taylor, J. A. (2018). More than meets the eye: The effect of intercanthal distance on perception of beauty and personality. Journal of Craniofacial Surgery, 29(1), 40–44. PMID 29068970
3. Sforza, C., Dolci, C., Grandi, G., Tartaglia, G. M., Laino, A., & Ferrario, V. F. (2015). Comparison of soft-tissue orbital morphometry in attractive and normal Italian subjects. The Angle Orthodontist. DOI
4. Pallett, P. M., Link, S., & Lee, K. (2010). New "golden" ratios for facial beauty. Vision Research, 50(2), 149–154. DOIAttractiveness peaked at specific eye–mouth and interocular proportions, not the classical golden ratio.
5. Roth, J. M., & Metzinger, S. E. (2003). Quantifying the arch position of the female eyebrow. Archives of Facial Plastic Surgery, 5(3), 235–239. DOI
6. Freund, R. M., & Nolan, W. B. (1996). Correlation between brow lift outcomes and aesthetic ideals for eyebrow height and shape in females. Plastic and Reconstructive Surgery, 97(7), 1343–1348. PMID 8643716
7. Kempa, J., Kasielska-Trojan, A., Gabryszewski, M., et al. (2025). Understanding the impact of eyebrow and lateral canthal height on the perception of character traits: A rating-based analysis of 2081 participants. Journal of Plastic, Reconstructive & Aesthetic Surgery, 104, 417–425. DOI
8. Gao, X., Li, H., Han, X., Ren, Y., Qi, Y., & Chen, W. (2025). The crucial role of the eyes in predicting facial attractiveness from parts. Behavioral Sciences, 15(2), 141. DOIOf isolated facial parts, the eyes were the strongest single predictor of whole-face attractiveness.
9. Mogilski, J. K., & Welling, L. L. M. (2018). The relative contribution of jawbone and cheekbone prominence, eyebrow thickness, eye size, and face length to evaluations of facial masculinity and attractiveness. Frontiers in Psychology, 9, 2428. DOIConjoint design (N=922): eyebrow thickness and jawbone prominence were the most salient features.

Jaw, chin & profile

Gonial angle, chin, facial width ratios, and the side-profile (cephalometric) layer.

1. Mommaerts, M. Y. (2016). The ideal male jaw angle — An Internet survey. Journal of Cranio-Maxillofacial Surgery, 44(4), 381–391. DOIAesthetic-preference survey; preferred male gonial angle centred near 130°.
2. Leversha, J., McKeough, G., Myrteza, A., et al. (2016). Age and gender correlation of gonial angle, ramus height and bigonial width in dentate subjects. Journal of Clinical and Experimental Dentistry. DOI
3. Moradinejad, M., Rekabi, A., Ashtiani, A. H., Atashkar, N., & Rakhshan, V. (2022). Psychometric and perceptometric comparisons of the perspectives of orthodontists, oral and maxillofacial surgeons, and laypeople. BioMed Research International, 2022, 2595662. DOI
4. Naini, F. B., Donaldson, A. N., McDonald, F., & Cobourne, M. T. (2012). Assessing the influence of lower facial profile convexity on perceived attractiveness. Oral Surgery, Oral Medicine, Oral Pathology, Oral Radiology, 114(3), 303–311. DOI
5. Ren, H., Chen, X., & Zhang, Y. (2021). Correlation between facial attractiveness and facial components assessed by laypersons and orthodontists. Journal of Dental Sciences, 16(1), 431–436. DOIIn lay ratings of 100 faces, the chin explained ~45% of variation in attractiveness judgments.
6. Haselhuhn, M. P., Ormiston, M. E., & Wong, E. M. (2015). Men's facial width-to-height ratio predicts aggression: A meta-analysis. PLoS ONE, 10(4), e0122637. DOIfWHR relates to behavior ratings, not attractiveness — which is why we report it as a signal, not a beauty score.
7. Cassidy, B. S., Saribay, S. A., Yüksel, H., & Kleisner, K. (2023). Attractiveness differentially affects direct versus indirect face evaluations in two cultures. Evolutionary Psychology, 21(3). DOIfWHR showed no significant relationship with attractiveness in either culture sampled.

Lips & nose

Vermilion proportions, philtrum, nasolabial angle, and nasal tip projection.

1. Popenko, N. A., Tripathi, P. B., Devcic, Z., Karimi, K., Osann, K., & Wong, B. J. F. (2017). A quantitative approach to determining the ideal female lip aesthetic and its effect on facial attractiveness. JAMA Facial Plastic Surgery. DOI
2. Kar, M., Muluk, N. B., Bafaqeeh, S. A., & Cingi, C. (2018). Is it possible to define the ideal lips? Acta Otorhinolaryngologica Italica, 38(1), 67–72. PMID 29756617
3. Kempa, J., Alfertshofer, M., Swift, A., et al. (2024). The perception of lip aesthetics in the context of facial proportions. Journal of the European Academy of Dermatology and Venereology. DOI
4. Przylipiak, M., Przylipiak, J., Terlikowski, R., Lubowicka, E., Chrostek, L., & Przylipiak, A. (2018). Impact of face proportions on face attractiveness. Journal of Cosmetic Dermatology. DOI
5. Armijo, B. S., Brown, M., & Guyuron, B. (2012). Defining the ideal nasolabial angle. Plastic and Reconstructive Surgery, 129(3), 759–764. DOIProposed sex-specific ideal nasolabial angle ranges from expert panel review.
6. Crumley, R. L., & Lanser, M. (1988). Quantitative analysis of nasal tip projection. The Laryngoscope, 98(2), 202–208. DOI
7. Leong, S. C. L., & White, P. S. (2004). A comparison of aesthetic proportions between the Oriental and Caucasian nose. Clinical Otolaryngology & Allied Sciences, 29(6), 672–676. DOI

Skin & health

Skin as an attractiveness signal, and the intervention evidence behind the skincare protocol.

1. Fink, B., Grammer, K., & Thornhill, R. (2001). Human (Homo sapiens) facial attractiveness in relation to skin texture and color. Journal of Comparative Psychology, 115(1), 92–99. DOI
2. Fink, B., & Penton-Voak, I. (2002). Evolutionary psychology of facial attractiveness. Current Directions in Psychological Science, 11(5), 154–158. DOI
3. Jones, B. C., Little, A. C., Burt, D. M., & Perrett, D. I. (2004). When facial attractiveness is only skin deep. Perception, 33(5), 569–576. DOISkin condition alone, in isolated patches, shifted attractiveness judgments.
4. Coetzee, V., Perrett, D. I., & Stephen, I. D. (2009). Facial adiposity: A cue to health? Perception, 38(11), 1700–1711. DOI
5. Hughes, M. C., Williams, G. M., Baker, P., & Green, A. C. (2013). Sunscreen and prevention of skin aging: A randomized trial. Annals of Internal Medicine, 158(11), 781–790. DOIRCT (n=903): daily sunscreen reduced measured skin aging by 24% versus discretionary use.

Computational attractiveness

Machine scoring of faces — what automated raters can and cannot reproduce.

1. Eisenthal, Y., Dror, G., & Ruppin, E. (2006). Facial attractiveness: Beauty and the machine. Neural Computation, 18(1), 119–142. DOIEarly machine-learned attractiveness predictors reached r≈0.65 against human ratings.
2. Schmid, K., Marx, D., & Samal, A. (2008). Computation of a face attractiveness index based on neoclassical canons, symmetry, and golden ratios. Pattern Recognition, 41(8). DOI
3. Goshtasbi, K., Hakimi, A. A., & Wong, B. J. F. (2024). Artificial intelligence versus human focus group rating of facial attractiveness. Facial Plastic Surgery & Aesthetic Medicine. DOIFive AI face-rating tools scored the same faces ~2 points above a human rater panel (6.9 vs 5.0) — the category-inflation baseline we calibrate against.

What this list does not claim

These publications establish measurement conventions and population-level preferences. None of them validates any individual score, predicts individual outcomes, or defines a universal standard of beauty — the science page covers those limits in full. SoftMaxx's own calibration choices (which measurements, which weights) are ours, not the literature's; the research constrains the ranges, and we own the rest.