There are 253 lattice points within a circle of radius sqrt(81.5) centered at the origin. These can be represented by 1 byte.
OEIS A057961
Motivation is for a graph or maze among lattice points with very high connectivity.
There are 25 lattice points within a radius of sqrt(8.5). (Despite the threshold being a circle, this ends up being a 5x5 square, because 2^2 + 2^2 = 8 < 9 = 3^0 + 0^2.) These could be represented by a letter.
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