As Alice long ago discovered, the world in the mirror is very like the real world, but there are some subtle changes. People who wear their watches on their left wrists are now seen wearing them on the right, writing is miraculously reversed, and American automobiles seem to have become anglicized, with their steering wheels on the wrong side. Although Lewis Carroll (1872) did not explicitly mention it, the obvious interpretation is that everything in the mirror world has been left-right reversed. There has been much discussion as to why mirrors should single out the left-right dimension, and not the up-down or back-front ones, for special treatment. In the most recent attack on this vexed problem, Takano (1998) has identified six past hypotheses as to why this might be so, suggested that none ofthem is adequate, and then proposed I am grateful to John T. Wixted, Reg Morris, Bill Ittelson, and an anonymous referee for helpful comments. Bill Ittelson continued to correspond with me, and was especially generous in helping me clarify several points, although we continue to disagree on a relatively minor issue. Correspondence should be addressed to M. C. Corballis, Department of Psychology,University of Auckland, Private Bag 92019, Auckland, New Zealand (e-mail: m.corballis@auckland.ac.nz).that mirrors accomplish no fewer than four different kinds of reversal, which he calls Type I reversal, Type II reversal, Type III-I reversal, and Type III-II reversal.Takano essentially argues that the nature of the mirror image relation can be understood differently depending on where the mirror is located and on what it is that is viewed in the mirror. In particular, he distinguishes between a mirror that is facing a person and a mirror that is beside the person, and between the person's perception of him/herself and the perception of printed words held up to the mirror-it is the combination of these four conditions that make up Takano's four cases. Thus, Type I reversal is the reversal that we see when we directly confront a mirror, Type II reversal is the reversal of alphanumeric characters held in front of a mirror, Type III-I reversal we see when we stand shoulder to the mirror, and Type III~II reversal is the reversal ofscript on a page held by the viewer standing alongside the mirror.One objection to this approach is simply its lack of parsimony. If taken to the limit, it would imply a different account for every placement of the mirror, including a mirror that is directly above or underneath the viewer (which Takano does briefly consider), or indeed at any other angle. Further, Takano seems to restrict his analysis to a self-reflection in the mirror and to the reflection of print on a page held up by the viewer, thereby neglecting what mirror reflection does to the myriad ofother objects that populate our lives. More importantly, I believe that he has failed to grasp that the relation between an object and its mirror image has a quality that is quite independent of where the mirror is placed. Indeed it is this relation t...