I know palindrome is the term for a word that works backwards and forwards, but is there a similar term for a word that can be flipped/reversed and remain the same?
For example, the word SWIMS or the number 6009.
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The examples, SWIMS and 6009, aren't the same upside down, so I assume you mean under a 180 rotation. I've always heard them referred to as rotational ambigrams.