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    Cube Duplication

    Statement

    Given the length of an edge of a cube, the cube duplication problem asks for the construction of a second cube having double the volume of the first using only a straightedge and compass.

    Solution

    No such construction is possible.

    History

    formulation date | 430 BC (2455 years ago) status | proved impossible proof date | 1637 (2066 years later) (389 years ago) prover | René Descartes