An infinite sequence of Circles such that every four consecutive Circles
are mutually tangent, and the Circles' Radii
..., , ..., , , , , , , ..., , , ...,
are in Geometric Progression with ratio
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.