Wolfram Demonstrations Project

This Demonstration shows a dissection paradox. On one hand, the area of the parallelogram is

, and on the other hand, the area of the rectangle is

. An explanation is in the Details section.

The red and blue diagonals and the green and brown diagonals are not parallel, so the figure is not a parallelogram. The slopes of the diagonals are

and

with a difference of

, which is almost imperceptible.

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Parallelogram Dissection Paradox