There are reasons that creators will deliberately impart a visual motif into their creation.

For example, in Star Trek: the Motion Picture the alien V'ger has six-fold symmetry: the ship exterior, the iris valves and later echoed by the hexagonal tiles surrounding the central brain complex. In the commentary the creators admit it was deliberate on their part.

Now I think Future Esthar might be trying to demonstrate the test pattern is deliberately meant to echo the layout of the world map, i.e. both have six-fold symmetry. This would be a good point if the world map did in fact have six-fold symmetry.