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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.
Contributed by:
Ed Pegg Jr
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When a side is too close to the center of the drawing area, a spurious result may occur.
RELATED LINKS
A Hexagon with Opposite Sides Parallel
(
Wolfram Demonstrations Project
)
Centroid Hexagon
(
Wolfram Demonstrations Project
)
Fuhrmann's Theorem
(
Wolfram Demonstrations Project
)
Brianchon's Theorem
(
Wolfram Demonstrations Project
)
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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