The relatively straightforward swing-hinged dissection of an equilateral triangle to a square in this video is called "Dudeney's dissection" and has been known since 1902. For a gallery of hinged dissections, check out Tse-hsuan Yang's page at Taiwan's National Tsing Hua University.
Hinged transformation of triangle to square
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Are those hinges a standard hardware item and if so what are they called?
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