It is well known that when humans have to decide whether two different
ly oriented shapes are identical or mirror images their performance de
teriorates as a function of the orientation disparity (mental-rotation
effect). Here it is shown that the effect can also be obtained reliab
ly with non-mirror-image, arbitrarily different polygons provided they
are previously selected to be hard to discriminate. The slope of the
decision speed versus orientation disparity functions was found to be
inversely related to the discriminability of shapes under conditions o
f no, ie 0 degrees, orientation disparity. Easily discriminable polygo
n pairs yielded essentially flat, no-effect functions. The arbitrary p
olygons that were more difficult to discriminate produced a rotation e
ffect that was similar to those of mirror-image polygon pairs. Mirror
images in this context may only be a special case of hard-to-discrimin
ate stimuli. We also show that the speed of judging whether simple lin
es were of the same or different length was similarly subject to a rot
ation effect provided that the length differences were sufficiently sm
all, ie when their baseline dicriminability was poor enough. It is sug
gested that the mental rotation of complex shapes (eg polygons) may bu
ild on rotation effects pertaining to the simpler elements of which th
ey are composed. Further, some special effects associated with the rot
ation of such simpler components may explain certain peculiarities app
arent in orientation invariance functions obtained with complex stimul
i.