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Centroid of an Arbitrary Hexagon

Given an arbitrary hexagon, construct exterior equilateral triangles on each side. Connect the centers of opposite triangles. The midpoints of the three lines form an equilateral triangle with the same center as the centroid of the hexagon.

THINGS TO TRY

SNAPSHOTS

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DETAILS

When a side is too close to the center of the drawing area, a spurious result may occur.

RELATED LINKS

PERMANENT CITATION

 Ed Pegg Jr
"Centroid of an Arbitrary Hexagon "
 http://demonstrations.wolfram.com/CentroidOfAnArbitraryHexagon/
 Wolfram Demonstrations Project
 Published: April 8, 2022
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