Linked from

The 12 pages that link to Doubling the cube, each with the reason it gives.

• Ancient Greek mathematicsBroader topic: Its impossibility with compass and straightedge exposed the limits of classical construction.

• Geometric constructionRelated: Its solution requires a length that classical constructions cannot produce.

• Angle trisectionRelated: It shares the classical toolkit and algebraic obstruction of angle trisection.

• Squaring the circleRelated: It is another famous impossible Greek construction, blocked by a different algebraic obstacle.

• Constructible numberRelated: Its required length involves the nonconstructible cube root of two.

• Cubic equationBroader topic: Its geometric reduction leads to a particular cubic equation that compass and straightedge cannot solve.

• Straightedge and compass constructionRelated: Its required cube root is not generally constructible with these tools.

• Hippocrates of ChiosRelated: Ancient accounts associate Hippocrates with reducing this problem to another geometric construction.

• Gauss–Wantzel theoremCompared with: Its impossibility illustrates algebraic obstructions beyond the polygon criterion.

• MenaechmusRelated: This construction problem prompted Menaechmus’s search for a geometric solution.

• Mohr–Mascheroni theoremCompared with: Its impossibility with straightedge and compass remains an impossibility under compass-only construction.

• PandrosionNarrower topic: This is the problem Pandrosion’s method was intended to solve.