TOPICS
Search

Tucker Hexagon


A Tucker hexagon is a hexagon inscribed in a reference triangle that has sides which are alternately parallel and antiparallel to the corresponding sides of the triangle. Tucker hexagons are always cyclic, and the corresponding circumscribing circle is called a Tucker circle.

Thomsen's figure is similar to a Tucker hexagon; Thomsen's hexagon closes after six parallels, while a Tucker hexagon closes after alternately three parallels and three antiparallels.


See also

Cyclic Polygon, Hexagon, Lemoine Hexagon, Thomsen's Figure, Tucker Circles

This entry contributed by Floor van Lamoen

Explore with Wolfram|Alpha

References

Dergiades, N. and Yiu, P. "Antiparallels and Concurrent Euler Lines." Forum Geom. 4, 1-20, 2004. http://forumgeom.fau.edu/FG2004volume4/FG200401index.html.Honsberger, R. Episodes in Nineteenth and Twentieth Century Euclidean Geometry. Washington, DC: Math. Assoc. Amer., pp. 90-91, 1995.van Lamoen, F. M. "Some Concurrencies from Tucker Hexagons." Forum Geom. 2, 5-13, 2002. http://forumgeom.fau.edu/FG2002volume2/FG200202index.html.

Referenced on Wolfram|Alpha

Tucker Hexagon

Cite this as:

van Lamoen, Floor. "Tucker Hexagon." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/TuckerHexagon.html

Subject classifications