Robert Reid's 7-piece dissection of hexagons for 1 : 2 : 2 :: 3 leaves the 1-hexagon uncut and cuts each of the 2-hexagons. It is possible to find a 7-piece dissection in which one of the 2-hexagons is uncut:
Copyright 2003, Greg N. Frederickson.
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Hinged Dissections: Swinging & Twisting
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Last updated January 31, 2003.