  The Fourier-based diffraction approach is an established method to extract
order and symmetry propertiesfrom a given point set. We want to investigate a
different method for planar sets which works in direct spaceand relies on
reduction of the point set information to its angular component relative to a
chosen referenceframe. The object of interest is the distribution of the
spacings of these angular components, which can for instance beencoded as a
density function on $\Real_{+}$. In fact, this \emph{radial projection} method
is not entirely new, andthe most natural choice of a point set, the integer
lattice $\Integer^2$, is already well understood. We focus on the radial
projection of aperiodic point sets and study the relation between the
resultingdistribution and properties of the underlying tiling, like symmetry,
order and the algebraic type of theinflation multiplier.
