Coxeter's Loxodromic Sequence of Tangent Circles
An infinite sequence of Circles such that every four consecutive Circlesare mutually tangent, and the Circles' Radii..., 
, ..., 
, 
, 
, 
, 
, 
, ..., 
, 
, ...,are in Geometric Progression with ratio
where
is the Golden Ratio (Gardner 1979ab). Coxeter (1968) generalized the sequence to Spheres.See also Arbelos, Golden Ratio, Hexlet, Pappus Chain, Steiner Chain
References
Coxeter, D. ''Coxeter on `Firmament.''' http://www.bangor.ac.uk/SculMath/image/donald.htm. Coxeter, H. S. M. ``Loxodromic Sequences of Tangent Spheres.'' Aequationes Math. 1, 112-117, 1968. Gardner, M. ``Mathematical Games: The Diverse Pleasures of Circles that Are Tangent to One Another.'' Sci. Amer. 240, 18-28, Jan. 1979a. Gardner, M. ``Mathematical Games: How to be a Psychic, Even if You are a Horse or Some Other Animal.'' Sci. Amer. 240, 18-25, May 1979b.
- Axiom A Diffeomorphism
- Axiom A Flow
- Axiomatic Set Theory
- Axiomatic System
- Axiom of Choice
- Axis
- Ax-Kochen Isomorphism Theorem
- B2-Sequence
- Baby Monster Group
- BAC-CAB Identity
- BAC-CAB Rule
- Bachelier Function
- Bachet Equation
- Bachet's Conjecture
- Backhouse's Constant
- Backtracking
- Backus-Gilbert Method
- Backward Difference
- Bader-Deuflhard Method
- Baguenaudier
- Bailey's Method
- Bailey's Theorem
- Baire Category Theorem
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- Bairstow's Method