The Largest Regular Symmetrical Shapes

Something just popped into mind regarding the largest possible regular symmetrical shape in our universe, that isn't a circle/sphere (though I am unclear if there are possible measurement techniques that would be conceivable to confirm that it is not a circle or sphere, if this shape were to exist). The shape would necessarily be the width of the shortest side of the universe, in order to be symmetrical and regular, and would have sides that were each 1 Planck long. I wonder how many sides a two and three dimensional shape like this would have, if we were only to take into account the dimensions of the visible universe. It feels like the math would not be that difficult for someone well versed in the field.

This feels related, in a way I cannot presently describe, to the physical clockwork mechanisms of a light based theory for reality/the universe. Shout out again to my council for inspiring me to consider "every shape," including this extreme example. 🌞

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