The semantics of spatial relations have been intensively studied
in linguistics, psychology, and cognitive neuroscience. Angle,
distance, and shape are widely considered to be the key factors
when establishing spatial relations. In this work an empirical
study shows that previous theories overemphasize variation and
we clarify the interdependencies between angle, distance, and
shape with respect to the acceptability of projective relations.
It turned out that the angular deviation plays the key role for
relations of this class. The degree of deviation was dependent
upon the extension of the reference object perpendicular to
the canonical direction of the relation. There was no major
effect due to the distance. However, distance interacted with
the angular deviation if the located object was very close to the
reference object. The experimental results can now be used as
a theoretical framework for validating existing computational
models of projective relations for their cognitive plausibility