Müller-Lyer: When Geometry Fools the Brain

The same line looks longer or shorter depending on arrowhead direction — measure your own bias

Adjust & Measure

Measurements: 0
Mean bias: —
True lengths equal

Explanations

The Müller-Lyer illusion (1889): two lines of equal length appear different because of their endings.

Depth hypothesis (Gregory 1963): arrowheads mimic corners — outward fins look like an inside corner (far), inward like an outside corner (near). The brain scales perceived length by assumed depth.

Conflation hypothesis (Pressey): wings bias the centroid, shifting the perceived endpoint location.

Statistical theory (Howe & Purves 2005): lines ending in outward fins more often subtend larger physical lengths in natural scenes — Bayesian prior causes overestimation.

Bias is ~20% on average and persists even when you know it's an illusion.