When arranging fully symmetric magic squares of order 6, a honeycomb grid (also known as an equidistant grid) can exhibit higher symmetry than a square grid. The magic square of order 6 has 3 main directions and 3 diagonal directions, and we require that the sum of the 6 squares arranged in a straight line in each direction is equal to the sum of the magic square. This is more constrained and more symmetrical than what is commonly called a "fully symmetric magic square".