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. The vertical lines in this mapping curve in a way similar to Escher's house of stairs. I find it curious that Escher didn't bend the horizontal lines in the same fashion.
Tessellation Strictly speaking tessellations are tiles that cover the plane without gaps or overlap.
I extend this idea into three dimensions though. I also label tesselations polyhedra that stack to fill space without gaps or overlap. Some Escher like Tessellations that I have made. Seven birds The Cantor set is suggested by the tessellation in this painting. Tessellations, My Blocks Vs Zaks Toys that tessellate have the power to approximate any shape.