In Ernest Freese's manuscript, Geometric Transformations (completed before his death in 1957), which I got access to in February 2003, there is a diagram of the same 5-piece dissection of a hexagram to a triangle as in Figure 15.14. (However, there is no indication that the dissection is hingeable.)
I neglected to note on page 144 that the dissection of a hexagram to a triangle in Figure 15.14 is wobbly-hinged. Do you see why?
Of the five different hingings possible, three are wobbly-hinged. Can you spot the two that aren't?
Copyright 2003, Greg N. Frederickson.
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Last updated August 25, 2003.