Coxeter's loxodromic sequence of tangent circles (nonfiction): Difference between revisions
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[[|thumb|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. | [[File:Coxeter_circles.png|thumb|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 == | == In the News == | ||
<gallery> | <gallery> | ||
File:Harold Scott MacDonald Coxeter.jpg|link=Harold Scott MacDonald Coxeter (nonfiction)|1996: Mathematician and crime-fighter [[Harold Scott MacDonald Coxeter (nonfiction)|Harold Scott MacDonald Coxeter]] uses his loxodromic sequence of tangent circles | File:Harold Scott MacDonald Coxeter.jpg|link=Harold Scott MacDonald Coxeter (nonfiction)|1996: Mathematician and crime-fighter [[Harold Scott MacDonald Coxeter (nonfiction)|Harold Scott MacDonald Coxeter]] uses his loxodromic sequence of tangent circles to detect and prevent [[crimes against mathematical constants]]. | ||
</gallery> | </gallery> | ||
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* [[Gnomon algorithm]] | * [[Gnomon algorithm]] | ||
* [[Gnomon Chronicles]] | * [[Gnomon Chronicles]] | ||
* [[Mathematics]] | * [[Mathematics]] | ||
== Nonfiction cross-reference == | == Nonfiction cross-reference == | ||
* [[ (nonfiction)]] | * [[Mathematics (nonfiction)]] | ||
External links: | External links: | ||
* [] @ Wikipedia | * [https://en.wikipedia.org/wiki/Coxeter%27s_loxodromic_sequence_of_tangent_circles Coxeter's loxodromic sequence of tangent circles] @ Wikipedia | ||
[[Category:Nonfiction (nonfiction)]] | [[Category:Nonfiction (nonfiction)]] | ||
[[Category: | [[Category:Diagrams (nonfiction)]] | ||
[[Category: | [[Category:Mathematics (nonfiction)]] | ||
Latest revision as of 18:58, 28 March 2018
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
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
Nonfiction cross-reference
External links:
- Coxeter's loxodromic sequence of tangent circles @ Wikipedia