There are 11 circle packings based on the 11 uniform tilings of the plane.

Only eleven of these can occur in a uniform tiling of regular polygons.

They can be considered the three-dimensional analogue to the uniform tilings of the plane.

See also the uniform tilings of the hyperbolic plane with (2,3,7) symmetry.

There are 9 generation locations for uniform tiling within quadrilateral domains.

If the sides are squares, it is a uniform tiling.

If the sides are equilateral triangles, it is a uniform tiling.

There are a number ways the list of uniform tilings can be expanded:

Finally, if a tiling made of 2 apeirogons is also counted, the total can be considered 39 uniform tilings.

This is the lowest density packing that can be created from a uniform tiling.