Calkin–Wilf tree

In number theory, the Calkin–Wilf tree is a tree in which the vertices correspond one-to-one to the positive rational numbers. The tree is rooted at the number 1, and any rational number q expressed in simplest terms as the fraction ⁠a/b⁠ has as its two children the numbers ⁠1/1+1/q⁠ = ⁠a/a + b⁠ and q + 1 = ⁠a + b/b⁠.

Source: Wikipedia — Calkin–Wilf tree (CC BY-SA 4.0)

Calkin–Wilf tree

In number theory, the Calkin–Wilf tree is a tree in which the vertices correspond one-to-one to the positive rational numbers. The tree is rooted at the number 1, and any rational number q expressed in simplest terms as the fraction ⁠a/b⁠ has as its two children the numbers ⁠1/1+1/q⁠ = ⁠a/a + b⁠ and q + 1 = ⁠a + b/b⁠.

This neuron ends here.

Source: Wikipedia "Calkin–Wilf tree" · CC BY-SA 4.0

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