Here is an example of a starmap. If the green beam pattern is removed, no information is lost.
The idea of a starmap was conceived by Martin Medema who also coined the name. The idea was to organize 64 'stars' in such a way that each had a different pattern of 'distant neighbours', much like the China Labyrinth has 'close neighbours'.

For any star: in the direction of a beam, a 'neighbouring star' is encountered. In a 'blank' direction one encounters only 'nothingness'.
Since in any of the six directions precisely 32 pieces will have a blank edge, the 'width' of the starmap will have to be 32 lines minimum in the three main directions. This is consistent with a uncentered hexagon base 16/17, as employed here.
The 'blank' can be found slightly below the center, diagonally adjacent to the six.

Few starmaps have ever been made. This one is by christian.