-This is one
of many hinged dissections of one regular polygon into another.
See Greg Frederickson's book, "Hinged Dissections: Swinging and
Twisting". This model, however, does not have any hinges.
It can not be done on the long triangle, because it is too thin.
-Greg Frederickson was interested
in my work, so I made him a
copy of my model (he supplied me with the dimensions). We both
use tape in place of hinges (Frederickson uses a higher quality).
-For more
information on dissections, see
M. Gardner, The 2nd Scientific American
Book of Mathematical Puzzles & Diversions, 1st ed.,
Simon and Schuster, New York, 1961, pp. 32-36.
M. Gardner,
The Unexpected Hanging and Other Mathematical
Diversions, 1st ed., Simon and Schuster, New York, 1986, pp.
43-51.