A line segment is divided in golden section if the ratio of the whole length to the larger part is equal to the ratio of the larger part to the smaller part. This definition implies that if the smaller part has unit length and the larger part has length φ, then (φ + 1)/ φ = φ/1. It follows that φ2−φ−1 = 0, which gives = 1.6180 to 4 decimal places. This number φ is the golden ratio. A golden rectangle whose sides are in this ratio has throughout history been considered to have a particularly pleasing shape. It has the property that the removal of a square from one end of it leaves a rectangle that has the same shape.
A golden rectangle
http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibnat.html#plants Shows the golden ratio in biology and the relationship to Fibonacci numbers.
- domal uplift
- Dombarovsky Air Base
- dome
- dome and basin
- Domesday Book
- domestic credit expansion
- domestic labour
- domestic product
- domestic rates
- domestic space
- dome–crescent–mushroom
- domichnia
- dominance
- dominance hierarchy
- dominant
- dominant dead time process
- dominant discharge
- dominant firm
- dominant mode
- dominant strategy
- dominated convergence theorem
- dominator
- Dominian Reef
- Dominica, Commonwealth of
- Dominican Republic