S A T O R A R E P O T E N E T O P E R A R O T A S
The Latin sator square has the curious property that, not only does it read the same across and down, but it also reads the same upside down, that is, rotate the entire square 180 degrees, then individually rotate each letter 180 as well.
Create a rotating device that shows off this property. Perhaps letters mounted on axles so they stay upright even as the square rotates. Pretty easy for a computer display.
The square has only 9 degrees of freedom, as opposed to 15 to just equal its matrix transpose.
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