this post was submitted on 26 Jun 2024
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Trying to think how tri/hex is more efficient than any regular tiling, say squares.
Want a hint? Think about a circle bound by an n-sided polygon. What happens to the space between the bounding polygon and the circle as n increases? And when n is infinite?
So of three possible regular tilings, which will be most and least efficient?
(Btw, strictly speaking, I shouldn't have said tri/hex before, as it's really just hex tiling.)
You could also use some fancy trig to calculate the efficiency %, but that's way too much work for me. :)