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

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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
number theory - The Four Square Theorem and Integral Apollonian Circle  Packings, is there any connection? - Mathematics Stack Exchange
PDF) Apollonian Circle Packings: Geometry and Group Theory II. Super-Apollonian Group and Integral Packings
number theory - The Four Square Theorem and Integral Apollonian Circle  Packings, is there any connection? - Mathematics Stack Exchange
PDF) A polytopal generalization of Apollonian packings and Descartes' theorem
number theory - The Four Square Theorem and Integral Apollonian Circle  Packings, is there any connection? - Mathematics Stack Exchange
PDF) A polytopal generalization of Apollonian packings and Descartes' theorem
number theory - The Four Square Theorem and Integral Apollonian Circle  Packings, is there any connection? - Mathematics Stack Exchange
Indira's Pearls: Apollonian Gasket, Circle and Sphere Packing – Viewpoints which Matter
number theory - The Four Square Theorem and Integral Apollonian Circle  Packings, is there any connection? - Mathematics Stack Exchange
geometry - How the recursive structure of Apollonian gaskets can be described in order to be able to reproduce them? - Mathematics Stack Exchange
number theory - The Four Square Theorem and Integral Apollonian Circle  Packings, is there any connection? - Mathematics Stack Exchange
PDF) On Superintegral Kleinian Sphere Packings, Bugs, and Arithmetic Groups
number theory - The Four Square Theorem and Integral Apollonian Circle  Packings, is there any connection? - Mathematics Stack Exchange
DMV-Jahrestagung 2015 in Hamburg
number theory - The Four Square Theorem and Integral Apollonian Circle  Packings, is there any connection? - Mathematics Stack Exchange
PDF) Apollonian Circle Packings: Geometry and Group Theory II. Super-Apollonian Group and Integral Packings
number theory - The Four Square Theorem and Integral Apollonian Circle  Packings, is there any connection? - Mathematics Stack Exchange
PDF) Regular polytopes, sphere packings and Apollonian sections
number theory - The Four Square Theorem and Integral Apollonian Circle  Packings, is there any connection? - Mathematics Stack Exchange
PDF) Regular polytopes, sphere packings and Apollonian sections
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