The Y Axis runs north and south, the X Axis runs east and west, and the Z Axis up and down. Since A remains the same, B is half size. There are 20 rows of poles. Thank you, Michael Carnright, for showing me this stuff. The horizon is a huge circle which is the boundary of the disk.
Objects get smaller and smaller as they approach the horizon.
Lines passing through the center of disk remain straight but become more curved if they're further from the center. Alas, this is where the similarities end. The lines of a Poincare disk all meet the horizon at 90 degree angles. In my world, all lines running east to west converge at the eastern and western points of the horizon and intersect the horizon at every angle. He also explained to me this disk is a nonconformal Euclidean space.