Wednesday, September 22, 2021

[nxfulyoi] letter paper hexagon

start with a rectangle with aspect ratio 8 by x where x = 8*2/sqrt(3) ~= 9.2376 .  (i.e., cut 1.7624 inch off the end of US letter paper.)  then remove four right triangles of side lengths 4 and x/4 ~= 2.3094 from the corners (4 == half the short side of the rectangle).  this results in a regular hexagon of side length x/2 ~= 4.6188 .

not sure what this could be useful for.  for hexagonal close packing, one typically wants many small hexagons, with stiff edges (tiles) so they don't easily overlap.


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