Solve the Loculus of Archimedes

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Solve the Loculus of Archimedes by forming a square from the given pieces. To rotate a piece, click in its curved arrow and drag in a rotational motion about the shown point. To translate a piece, click on the arrowhead and drag. To reflect, click a vertex.
Contributed by: Enrique Zeleny (May 2012)
Open content licensed under CC BY-NC-SA
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Details
This puzzle was analyzed by Archimedes; there are 536 distinct solutions.
Ed Pegg Jr, The Loculus of Archimedes, Nov 17, 2003.
Permanent Citation
"Solve the Loculus of Archimedes"
http://demonstrations.wolfram.com/SolveTheLoculusOfArchimedes/
Wolfram Demonstrations Project
Published: May 21 2012