Coxeter's loxodromic sequence of tangent circles (nonfiction)

Blue circle 0 is tangent to circles 1, 2 and 3, as well as to preceding circles −1, −2 and −3.

In geometry, Coxeter's loxodromic sequence of tangent circles is an infinite sequence of circles arranged so that any four consecutive circles in the sequence are pairwise mutually tangent. This means that each circle in the sequence is tangent to the three circles that precede it and also to the three circles that follow it.

In the News

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  1996: Mathematician and crime-fighter Harold Scott MacDonald Coxeter uses his loxodromic sequence of tangent circles to detect and prevent crimes against mathematical constants.

Fiction cross-reference

• Crimes against mathematical constants
• Gnomon algorithm
• Gnomon Chronicles
• Mathematics

Nonfiction cross-reference

• Mathematics (nonfiction)

External links:

• Coxeter's loxodromic sequence of tangent circles @ Wikipedia