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Centroid Hexagon

CentroidHexagon

The hexagon obtained from an arbitrary hexagon by connecting the centroids of each consecutive three sides. This hexagon has equal and parallel sides (Wells 1991). A proof of the centroid hexagon result, as well as a generalization to octagons, decagons, and so on, is given by de Villiers (2007).

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References

Cadwell, J. H. Topics in Recreational Mathematics. Cambridge, England: Cambridge University Press, 1966.de Villiers, M. "A Hexagon Result and Its Generalization via Proof." Mont. Math. Enth. 4, 188-192, 2007.Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, pp. 53-54, 1991.

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Centroid Hexagon

Cite this as:

Weisstein, Eric W. "Centroid Hexagon." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CentroidHexagon.html

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