How many cats are in a small room if in each of the four corners a cat is sitting, and opposite each cat there sit three cats, and a each cat's tail another is sitting?
Four cats, each near a tail of a cat in an adjacent corner.
Is that 4 cats in a mirror room?
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I wouldn't consider the cats on the left and right corners behind a cat to be "opposite". Opposite just means in the corner directly behind.
Edit: changing that word to "behind" would work, IMO.