Although it has long been apparent that observers tend to overestimate the
magnitude of acute angles and underestimate obtuse ones, there is no consen
sus about why such distortions are seen. Geometrical modeling combined with
psychophysical testing of human subjects indicates that these misperceptio
ns are the result of an empirical strategy that resolves the inherent ambig
uity of angular stimuli by generating percepts of the past significance of
the stimulus rather than the geometry of its retinal projection.