Calkin–Wilf tree

（重定向自Fusc）

This sample illustrates, how the leaves in a Calkin–Wilf tree are derived from their root

The Calkin–Wilf tree, drawn using an H tree layout.

The Calkin–Wilf sequence, depicted as the red spiral tracing through the Calkin–Wilf tree

In number theory, the Calkin–Wilf tree is a tree in which the vertices correspond 1-for-1 to the positive rational numbers. The tree is rooted at the number 1, and any rational number expressed in simplest terms as the fraction a/b has as its two children the numbers a/(a + b) and (a + b)/b. Every positive rational number appears exactly once in the tree.

单词	Fusc
释义	Fusc 英语百科 Calkin–Wilf tree （重定向自Fusc） In number theory, the Calkin–Wilf tree is a tree in which the vertices correspond 1-for-1 to the positive rational numbers. The tree is rooted at the number 1, and any rational number expressed in simplest terms as the fraction a/b has as its two children the numbers a/(a + b) and (a + b)/b. Every positive rational number appears exactly once in the tree.
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