Limitations on realistic hyperbolic graph drawing.
D. Eppstein.
arXiv:2108.07441.
Proc. 29th Int. Symp. Graph Drawing, Tübingen, Germany, 2021.
Springer, Lecture
Notes in Comp. Sci. 12868 (2021), pp. 343–357, doi:10.1007/978-3-030-92931-2_25.
Graphs drawn in the hyperbolic plane can be forced to have features much closer together than unit distance, in the absolute distance scale of the plane. In particular this is true for planar drawings of maximal planar graphs or grid graphs, and for nonplanar drawings of arbitrary graphs.
(GD'21 slides – Blog post: Hyperbolic geometry squishes graphs)