Sections Beyond Golden

Year: 2000 Authors: Peter Steinbach

Core claim

Beyond the golden ratio, optimal trisection, quadrisection, and pentasection define a broader “golden family” of proportional relations with design and geometric significance.

Topics

ratio and proportion, segment trisection, quasi-crystals, geometric sequences, design symmetry

Domains

algebraic equations, cubic equations, polygon diagonals, Fibonacci numbers, geometry, architecture, fine arts, industrial design

Methods

proportional derivation, cross multiplication, polygon construction, matrix powers, trigonometric evaluation

Media

line segments, triangles, pentagons, heptagon, Mathematica

Source status

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