number theory - The Four Square Theorem and Integral Apollonian Circle Packings, is there any connection? - Mathematics Stack Exchange

I have been studying theta-functions and made an interesting observation which I have a question about QUESTION: Is there a more intuitive, in particular a mostly geometric way, to prove the four

geometry - Intuitively, why aren't all points in a circle covered in an Apollonian gasket? - Mathematics Stack Exchange

PDF) Apollonian Circle Packings: Geometry and Group Theory II. Super-Apollonian Group and Integral Packings

Applications of Inversive Geometry

geometry - Intuitively, why aren't all points in a circle covered in an Apollonian gasket? - Mathematics Stack Exchange

Apollonian circle packings: number theory - ScienceDirect

Double degeneracy of the Euclid's parameterization.

PDF) Regular polytopes, sphere packings and Apollonian sections

Problem of Apollonius - Wikipedia

PDF) Dismal Arithmetic

geometry - Impossible to pack Circles without gaps - Mathematics Stack Exchange

PDF) Apollonian Circle Packings: Geometry and Group Theory II. Super-Apollonian Group and Integral Packings