Dual Tessellation -- from Wolfram MathWorld
- ️Weisstein, Eric W.
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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.
The triangular and hexagonal tessellations are duals of each other, while the square tessellation it its own dual.
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.
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Cite this as:
Weisstein, Eric W. "Dual Tessellation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DualTessellation.html