A tiling based on 7-fold (resp. 14-fold) symmetry [ND96]. The inflation factor is 1+sin(2 pi/7)/sin(pi/7). The three different edge lengths are proportional to sin(pi/7), sin(2 pi/7), sin(3 pi/7). On a first glance, there seems to exist a centre of perfect 14-fold symmetry: a 14-tipped star in the upper right corner. But in fact it is only 2-fold symmetric. The symmetry is broken by the right- and left-handedness of the tiles. On rings around the 14-tipped star, this manifests in tiles pointing clockwise or counterclockwise, thus breaking the symmetry.
This is one of the rare cases that a substitution has local matching rules without decoration. In fact, the list of all different vertex stars defines the matching rule.