An 
-uniform
tessellation is an edge-to-edge tessellation of
the Euclidean plane by regular
polygons that has 
transitivity classes of vertices
under its full symmetry group, where 
is a positive integer.
The 1-uniform tessellations are sometimes known as Archimedean tessellations. Here
edge-to-edge means that the intersection of two
distinct regular polygons is empty, a common polygon vertex, or an entire polygon
edge of both regular polygons. The numbers
of 
-uniform
tessellations for 
,
2, ... are 11, 20, 61, 151, 332, 673, ... (OEIS A068599).
Uniform Tessellation
See also
Archimedean Solid, Demiregular TessellationExplore with Wolfram|Alpha
References
Dutch, S. "Uniform Tilings." https://stevedutch.net/symmetry/uniftil.htm.Galebach, B. "
-Uniform
Tilings." https://www.probabilitysports.com/tilings.html.Grünbaum,
B. and Shephard, G. C. Tilings
and Patterns. New York: W. H. Freeman, 1986.Sloane,
N. J. A. Sequence A068599 in "The
On-Line Encyclopedia of Integer Sequences."Referenced on Wolfram|Alpha
Uniform TessellationCite this as:
Weisstein, Eric W. "Uniform Tessellation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/UniformTessellation.html