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Let

be the centroid of the triangle

. Define

and

by

,

and similarly define the points

,

,

,

.

The apexes of the equilateral triangles on the outside or inside of the hexagon

form a regular hexagon.

Contributed by: Minh Trinh Xuan

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The Excentral Triangle and a Related Hexagon (Wolfram Demonstrations Project)

A Hexagon with Opposite Sides Parallel (Wolfram Demonstrations Project)

Minh Trinh Xuan

"Magic Hexagon"
http://demonstrations.wolfram.com/MagicHexagon/
Wolfram Demonstrations Project
Published: May 13, 2022

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