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**golden****ratio**, also known as the divine proportion,**golden**mean, or**golden**section, is a number often encountered when taking the ratios of distances in simple geometric ...The

**golden****ratio**conjugate, also called the silver**ratio**, is the quantity Phi = 1/phi (1) = phi-1 (2) = 2/(1+sqrt(5)) (3) = (sqrt(5)-1)/2 (4) = 0.6180339887... (5) (OEIS ...Nice approximations for the

**golden****ratio**phi are given by phi approx sqrt((5pi)/6) (1) approx (7pi)/(5e), (2) the last of which is due to W. van Doorn (pers. comm., Jul. 18, ...The

**golden****ratio**has decimal expansion phi=1.618033988749894848... (OEIS A001622). It can be computed to 10^(10) digits of precision in 24 CPU-minutes on modern hardware and ...The

**golden**gnomon is the obtuse isosceles triangle whose**ratio**of side to base lengths is given by 1/phi=phi-1, where phi is the**golden****ratio**. Such a triangle has angles of ...A

**golden**rhombus is a rhombus whose diagonals are in the**ratio**p/q=phi, where phi is the**golden****ratio**. The faces of the acute**golden**rhombohedron, Bilinski dodecahedron, ...The

**golden**triangle, sometimes also called the sublime triangle, is an isosceles triangle such that the**ratio**of the hypotenuse a to base b is equal to the**golden****ratio**, ...Given a rectangle having sides in the

**ratio**1:phi, the**golden****ratio**phi is defined such that partitioning the original rectangle into a square and new rectangle results in a ...The

**golden**angle is the angle that divides a full angle in a**golden****ratio**(but measured in the opposite direction so that it measures less than 180 degrees), i.e., GA = ...A

**golden**rhombohedron is a rhombohedron whose faces consist of congruent**golden**rhombi.**Golden**rhombohedra are therefore special cases of a trigonal trapezohedron as well as ......