The Square, the Circle and the Golden Proportion A New Class of Geometrical Constructions

Year: 2000 Authors: Janusz Kapusta

Core claim

The square-circle relationship yields new geometrical constructions and visual proofs involving the golden mean, powers of Phi, and approximate compass-and-straightedge subdivisions.

Topics

golden proportion, square-circle geometry, geometrical construction, visual proof

Domains

Euclidean geometry, golden ratio, Pythagorean theorem, compass and straight-edge construction, geometric art, visual pattern design, picture essay

Methods

diagrammatic exploration, geometric construction, sequence analysis, approximation

Media

squares, circles, triangles, gridded diagrams

Source status

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