Doubling the Cube—Revisited

Year: 2021 Authors: Jo Niemeyer; Rabe R. von Randow

Core claim

A sliding-rectangle construction inside a square yields a segment ratio corresponding to cube volumes in proportion 1:2.

Topics

doubling the cube, geometric construction, proof of correctness, ancient Greek problems

Domains

Euclidean geometry, algebraic equations, cube roots, Cardan’s solution, concrete art, graphic art, painting, mathematical visualization

Methods

sliding rectangle construction, vector equation analysis, angle addition formulas, cubic polynomial solving

Media

painting, diagram, rectangle-and-square construction, Bridges art exhibition image

Source status

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