Folding an Equilateral Triangle in a Square

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What would be the largest equilateral triangle that fits inside a square? This Demonstration shows how to construct it in five foldings made by dragging the sliders to the right and back. The entire sequence can also be seen in 3D!
Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA
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"Folding an Equilateral Triangle in a Square"
http://demonstrations.wolfram.com/FoldingAnEquilateralTriangleInASquare/
Wolfram Demonstrations Project
Published: March 7 2011