Changing the latitude of the center changes the map. Map of the world centered on Mecca The same with the graticule. Changing the center modifies the hole and the overlap. Here is the new graticule. Another strange map A new retro-azimuthal projection.
Mecca Is the line across the top.
The Graticule showing the hole and the overlap. Is A New Azimuthal Projection Back to the Arab World Astrolabe by al-Khujandi of Baghdad, A.D. 985 Arab scholars had an interest in astronomical subjects. Previously only tables and treatises were extant, no maps.