Stern -Borocot tree

Description

Description :

A Stern-Brocot tree is a special type of binary tree that represents all positive rational numbers in a unique and ordered way. It is constructed by repeatedly inserting the mediant of two adjacent fractions between them. It has applications in number theory, fractions, gear design, and map projection.

Purposes :

There are the purposes of Stern borocot tree

1 :Finding the best approximation to a given number such as the target gear ratios derived from planetry motion .

2 :Relating fractions to continued fractions and farey sequence .

3 :Creating a map projection that shows world ocean as one continous body of water .

Uses :