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
Explore with Wolfram|Alpha
References
Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London, England:
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 Resource. https://mathworld.wolfram.com/DualTessellation.html
Subject classifications
