Impossible? No, just unlikely.
The Live Love ambigram shown here is a nice short asymmetric ambigram (also known as a symbiotogram) that is a good example of the letters in one orientation flipping over to become different letters in another orientation.
See this example of how this typographical marvel says 'Live' one way and says 'Love' the other way (or is it the other way around?).
For a mental work-out, try to read it upside-down without rotating it (you can mouse over it at any time to make it spin).
If you wish, you can create other ambigrams by clicking the Create New Design button here.
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