Originally Posted by
believer
I need to work out how many circles with a diameter of 45mm will fit inside a lager circle or square?
Can anyone help?
G'Day Cobber,
For a square, hexagonal packing as in a Bees' honeycomb gives more than square packing.
For a circle,
Smoothed Octagon
A plane shape constructed by Reinhardt (1934) that is conjectured to be the "worst" packer of all centrally-symmetric plane regions. It has a packing density of
(Sloane's ), significantly less than the density of
(Sloane's ). The smoothed octagon is constructed from a regular octagon by smoothing the edges using a that is tangent to adjacent edges of the octagon and has the edges adjacent to these as asymptotes.
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