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Uniform Tessellation

An n-uniform tessellation is a tessellation than has n transitivity classes of vertices. The 1-uniform tessellations are sometimes known as Archimedean tessellations.

The number of n-uniform tessellations for n=1, 2, ... are 11, 20, 61, 151, 332, 673, ... (OEIS A068599).

See also

Archimedean Solid, Demiregular Tessellation

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References

Dutch, S. "Uniform Tilings." http://www.uwgb.edu/dutchs/symmetry/uniftil.htm.Galebach, B. "n-Uniform Tilings." http://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."

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Uniform Tessellation

Cite this as:

Weisstein, Eric W. "Uniform Tessellation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/UniformTessellation.html

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