10182

Lindgren's Dissection of a Parallelogram to a Parallelogram

This Demonstration shows Lindgren's parallelogram-to-parallelogram dissection. Translating a parallelogram along its base we get a P-strip (parallelogram strip). The intersection of P-strips of the given parallelograms is another parallelogram, and it determines the parts of dissection. The parameter is the lengths of the base of the first parallelogram and is the angle between the base and the leg. The parameters and determine the second parallelogram.

DETAILS

This Demonstration transforms one parallelogram into another parallelogram using a dissection method known as the P-strip technique. Parallelograms in a strip form a P-strip. Overlapping P-strips give an intersection that determines the parts of the dissection.
References
[1] G. N. Frederickson, Dissections: Plane & Fancy, New York: Cambridge University Press, 2002 p. 139. www.cs.purdue.edu/homes/gnf/book.html.
[2] G. N. Frederickson, Hinged Dissections: Swinging & Twisting, New York: Cambridge University Press, 2002 pp. 102–103. www.cs.purdue.edu/homes/gnf/book2.html.

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