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
retreat: I have been following the ups and downs
number theory - The Four Square Theorem and Integral Apollonian Circle  Packings, is there any connection? - Mathematics Stack Exchange
A Tisket, a Tasket, an Apollonian Gasket
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
February 2023 – Viewpoints which Matter
number theory - The Four Square Theorem and Integral Apollonian Circle  Packings, is there any connection? - Mathematics Stack Exchange
Applications of Inversive Geometry
number theory - The Four Square Theorem and Integral Apollonian Circle  Packings, is there any connection? - Mathematics Stack Exchange
fótMeij - International Mathematical Union
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
February 2023 – Viewpoints which Matter
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
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