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Cube Doubling Problem

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.

Alternate names

cube doubling problem | Delian problem

History

formulation date | 430 BC (2454 years ago)
status | proved impossible
proof date | 1637 (2066 years later) (388 years ago)
prover | René Descartes

Classes

mathematical problems | solved mathematics problems | unsolvable mathematics problems

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