Look a little closer

A flat mirror does not literally swap left and right. It reverses the direction perpendicular to its surface: front and back. Raise your right hand in front of a mirror and the image also has its right hand on the right side of the scene. Left and right seem exchanged only when we imagine turning ourselves around to face the reflected person.

The reason lies in ordinary reflection. Light reaches a flat mirror and leaves with its angle of reflection equal to its angle of incidence. Positions that run parallel to the mirror—up and down, or side to side—are preserved. Only distance in the direction toward and away from the mirror is mapped to the opposite side. An object one metre in front of a mirror appears to have an image one metre behind it.

Writing offers a useful check. A word looks backward in a mirror not because the mirror has a special left-right switch, but because its front-facing surface has become back-facing. When we mentally rotate that image so that it faces us as another person would, the familiar left-right reversal appears. Lay the same mirror flat on the floor and its front-back reversal can look like an up-down reversal instead.

The distinction is especially clear with handed objects. The reflection of a right-hand glove has the shape of a left-hand glove, but no amount of ordinary rotation in three-dimensional space turns one into the other. Reversing one direction creates this difference in handedness. A mirror makes that reversal visible without choosing a universal human left or right.

So a mirror is not a machine that slices people horizontally. The surprising impression comes from combining a simple physical mapping with the way people define left and right from a forward-facing body. The optics are straightforward; the apparent left-right flip is supplied by our chosen point of view.

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