Idk if you will ever need this, but if you like hexagonal grids that are rotated 30degrees you can have almost perfect one with vertices that lie on integer coo

Idk if you will ever need this, but if you like hexagonal grids that are rotated 30degrees you can have almost perfect one with vertices that lie on integer coordinates: just build a hex from triangle (0,0), (11,11), (15, -4). This is due to the fact that 2*(11^2)=242~ 241=15^2+4^2 and (7,4) vector being very close to 30 degrees. Alternatively, just build flat top hexes out of (0,0), (4,7), (8, 0)