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Efficency (mander.xyz)
submitted 4 months ago by fossilesque@mander.xyz to c/science_memes@mander.xyz
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[-] DarkDarkHouse@lemmy.sdf.org 1 points 4 months ago

Trying to think how tri/hex is more efficient than any regular tiling, say squares.

[-] Enkers@sh.itjust.works 3 points 4 months ago* (last edited 4 months ago)

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. :)

this post was submitted on 26 Jun 2024
596 points (95.7% liked)

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