A classical mechanics problem by Ronak Bhatt
Classical Mechanics
Level
pending
How many image are formed if angle between 2 plane mirror is 90`.
The answer is 3.
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From a transformational point of view, the images are four (the elements of a Klein group), namely the real image (identity map, direct view, no reflection), two images given by a single reflection at a time, and the image given by the (commutative) composition of the reflections above, in fact a half-turn centered in the intersection of the mirror bottom lines.