KnowraGolden ratioLinked fromLinked fromThe 18 pages that link to Golden ratio, each with the reason it gives.All 18Broader topic 5Related 10Compared with 3Fibonacci sequenceRelated: Ratios of consecutive Fibonacci numbers approach this number.Isosceles triangleRelated: The golden triangle's equal sides and base connect its geometry to this proportion.Constructible numberRelated: It is constructible as a root of a quadratic equation and appears in the regular pentagon.Dirichlet's approximation theoremRelated: Its continued fraction makes it a limiting example for how well irrationals can be approximated.Lucas sequenceRelated: Its powers appear in closed forms for Fibonacci numbers and classical Lucas numbers.Regular dodecahedronRelated: Pentagonal proportions make the golden ratio appear in the dodecahedron’s coordinates and diagonals.Square root of 2Related: Like square root of 2, it is irrational, but its continued fraction has a different repeating pattern.Mathematics and artRelated: Artists and designers have invoked it as a compositional proportion, though claims about its use require care.Regular icosahedronRelated: The coordinates of a regular icosahedron involve golden-ratio proportions.DecagonRelated: The golden ratio appears in the side and diagonal relationships of a regular decagon inscribed in a circle.