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Dual Tessellation

The dual of a regular tessellation is formed by taking the center of each polygon as a vertex and joining the centers of adjacent polygons.

DualTessellations

The triangular and hexagonal tessellations are duals of each other, while the square tessellation it its own dual.

DualSemiregularTess

Williams (1979, pp. 37-41) illustrates the dual tessellations of the semiregular tessellations.

See also

Cairo Tessellation, Tessellation

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References

Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, pp. 60-61, 1991.Williams, R. The Geometrical Foundation of Natural Structure: A Source Book of Design. New York: Dover, p. 37, 1979.

Referenced on Wolfram|Alpha

Dual Tessellation

Cite this as:

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

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