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Why diagonals fool the eye

· 2 min read

A picture hanging a couple of degrees off level bothers you from across the room. Two lines a couple of degrees apart, somewhere around the diagonal, are much harder to tell apart. Your eye isn’t equally sharp in every direction: it’s at its best on the vertical and the horizontal, and noticeably worse in between.

Mach saw it first

In 1861 the physicist Ernst Mach found that people made the smallest errors judging horizontal and vertical lines, and the largest around 45 degrees. More than a century later, in 1972, Stuart Appelle gathered the evidence from people and animals and gave the pattern the name that stuck: the oblique effect. In tasks where people judge tilt, they are typically two to four times less precise with a line at 45 degrees than with an upright one.

It doesn’t apply to everything. Judging the length of a line, for example, is about as good on the diagonal as anywhere else. The effect shows up when the task is about orientation itself, which is exactly what Tilt asks.

Why upright and level?

We grow up surrounded by verticals and horizontals: walls, doors, trees, the horizon, and gravity telling us which way is down. A long-standing idea is that vision spends more of its resources on the orientations it meets most often. Where exactly that happens in the brain is still debated, but the effect itself is one of the most reliable findings in vision science.

Using it in Tilt

In the Tilt round you rotate a silhouette until it leans as much as the real thing. Close to upright, your eye is at its sharpest, so trust it for small tilts. For bigger angles, give yourself landmarks:

  • Measure from whichever is nearer, upright or level, not from the diagonal. Ask “how far is this from vertical?” rather than “is this 40 or 50?”.
  • 45 degrees is halfway: the diagonal of a square.
  • Think of a clock face. Each hour is 30 degrees, so one o’clock is 30 degrees from twelve and two o’clock is 60.
  • Split the difference: if it’s clearly more than 30 and less than 45, start in the middle and adjust from there.

Sources

  • Appelle, S. (1972). Perception and discrimination as a function of stimulus orientation: The “oblique effect” in man and animals. Psychological Bulletin, 78(4), 266–278.
  • Oblique effect. Wikipedia. en.wikipedia.org/wiki/Oblique_effect