Here's a design to flip over.
The medium length Serenity Balance ambigram displayed to the left is a good example of the letters in one orientation flipping over to become different letters in another orientation.
A quick glance will show you that you can read this as 'Serenity' when the design is upright and as 'Balance' when the design is inverted (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).
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