Lindgren's Dissection of a Parallelogram to a Parallelogram

a

α

b

c

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show P-strip 1

show P-strip 2

show parts

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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

a

is the lengths of the base of the first parallelogram and

α

is the angle between the base and the leg. The parameters

b

and

c

determine the second parallelogram.