Faces in art

Renaissance head proportions: how painters measured a head, and how you can

Renaissance head proportions were never an average of real faces. They were a painter's ruler: Cennini used a third of the face as his unit, Leonardo wrote that one eye fits between the eyes, and Dürer drew several types instead of one. Here we test them on a photo, then on real people.

ContentsWhere do Renaissance head proportions come from? A unit, not a faceThree painters, three ways to measureRun the painters’ checks on a photo yourselfWhich rules hold on real faces?How FacialRate does it: the same ruler, taken to the museumFAQ

Key points

  • Cennini, Leonardo and Dürer wrote drawing rules, not measurements of people.
  • Two checks to do yourself: middle ÷ lower third, and eye gap ÷ eye length. Sample photo: 0.99 and 1.25.
  • In a 3D study of 103 people, nobody had exactly equal thirds or an eye gap equal to one eye.
  • Not matching is normal: the rules were approximations from the start.

Where do Renaissance head proportions come from? A unit, not a face

Renaissance head proportions start with a unit, not a model face. A painter can’t measure a figure taller than a wall, so he takes one piece of the face as a ruler and works out the rest.

So first ask which kind of claim a rule is:

  • A drawing convention: what painters wrote for painters.
  • A measured finding: what researchers got measuring real faces against those conventions.

For the older Greek and Roman rules, see Classical face proportions.

Three painters, three ways to measure

Who What they wrote Kind of claim
Cennini (c. 1400) Face in three parts: forehead, nose, nose to chin; one part is the unit for the figure; the figure is 8 faces plus 2 parts Workshop manual
Leonardo Chin to nose base = 1/3 of the face = nose = forehead; mouth to chin 1/4; space between the eyes = one eye; pupil to pupil = 1/3 of face width Notebook drawing rules
Dürer (1528) Figures 7, 8, 9 and 10 heads tall A method for many types

Leonardo, copying the Vitruvian proportions (hair roots to chin 1/10 of height, chin to crown 1/8), changed some fractions: the foot becomes 1/7 of height where Vitruvius had 1/6. Dürer was bluntest: no single person can be the model, and a stout and a thin figure differ in every proportion, so it is hard to say which is more beautiful.

Run the painters’ checks on a photo yourself

Facial fifths diagram: the thirds (four horizontal lines) and fifths (six vertical lines) on the sample photo, with the fifth between the inner eye corners tinted: the eye gap Leonardo said should equal one eye.
Facial fifths diagram: the thirds (four horizontal lines) and fifths (six vertical lines) on the sample photo, with the fifth between the inner eye corners tinted: the eye gap Leonardo said should equal one eye.

A rule is a hypothesis until you measure. Take a front-facing photo (setup here) and compute two ratios:

  1. Middle ÷ lower third: brow line to nose base, over nose base to chin. Equal thirds give 1.
  2. Eye gap ÷ eye length: inner corner to inner corner, over one eye’s length (average both eyes). Leonardo says 1.

The sample photo: thirds of 219, 284 and 286 px, so middle ÷ lower is 0.99. The hairline is estimated, so skip the upper third. The five eyes, left to right: 131 · 120 · 144 · 110 · 77. Gap 144 over an average eye of 115 is about 1.25. The outer fifths differ: the head is slightly turned.

Pixels are fine; the unit cancels. Measure three times: the spread is your ruler’s precision.

Which rules hold on real faces?

These are measured findings.

  • 1985: 9 classical canons, 153 young adults. The two most often valid held in only 40% (eye gap = nose width) and 37% (nose width = 1/4 of face width). The vertical thirds fit worst.
  • 2012: 103 people, 3D photos, a rule counted as valid within 1.5 mm. Equal thirds: 0%. Eye gap = eye length: 0%; everyone’s gap was wider. Mouth = 1.5 × nose width: 8.7%. Eye gap = nose width: 19.4%.

So the sample’s 1.25 is the usual case, and its 0.99 is one near match among misses. Today’s thirds-and-fifths face proportions descend from these drawing rules. In depth: facial thirds, eye spacing.

How FacialRate does it: the same ruler, taken to the museum

  • On your device: the browser finds 478 face landmarks in one front-facing photo and works out 6 facial proportions, such as eye shape, face shape and feature spacing. The photo never leaves the device.
  • Same ruler for the works: every work’s face was measured with the same landmarks and proportions; only works that measure reliably are included. They are public-domain sculptures and portraits from open collections such as the Met, the Smithsonian American Art Museum, the Rijksmuseum and the Getty (works that mock appearance or age are excluded).
  • A few close works: one beside your photo, a few more equally close, in no order. The sample photo’s closest is Robert Vanderburgh McKim by William Henry Rinehart, about 1867 (Smithsonian American Art Museum, CC0).
  • Close means proportions: not looks, and unrelated to the score. The same photo always gets the same works.
  • Free first: the free face report shows your face type, strongest feature, three highlights and 11+ dimensions, from a model that learned from real human ratings, not a fixed formula. The art match is in the full report, an optional one-time purchase. More on the art match.

FAQ

Does one eye really fit between the eyes?

That is Leonardo's drawing rule. A 2012 study measured 103 people in 3D: nobody fitted it, and everyone's gap was wider.

Does the art match answer "which artwork do I look like"?

No. It finds works close to you on 6 facial proportions, which is not looking alike, and it ignores your score.

Classical face proportions: what the old rules say, and what real faces measureFaces in artGreek sculpture faces: idealised types, not portraitsFaces in artWhat are facial thirds and fifths? Measure your own faceFacial proportionsEye spacing: how to measure the gap between your eyesFacial proportions