A few of the infinitely many such patterns in the hyperbolic plane are also listed.

The image shows a Poincaré disk model projection of the hyperbolic plane.

It can represent a tiling of the hyperbolic plane if greater than 360 degrees.

In a similar manner one can consider regular tessellations of the hyperbolic plane.

One can also consider the same problem on quadrilaterals in the hyperbolic plane.

As a topological space, is a line bundle over the hyperbolic plane.

In a hyperbolic plane an unlimited number of lines can pass through the point and not meet the given line.

Arrangements of lines in the hyperbolic plane have also been studied.

This example is called the hyperbolic plane in the theory of quadratic forms.

Let be a hyperbolic plane and H its field of ends, as introduced above.