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

PDF) A polytopal generalization of Apollonian packings and Descartes' theorem

February 2023 – Viewpoints which Matter

PDF) A polytopal generalization of Apollonian packings and Descartes' theorem

Viewpoints which Matter – Page 3 – Philosophy, Psychology, Ecology, Sociology, Economics, Finance, Strategy, Scenarios, Futures, Foresight, Operational Research, Complexity, Networks, Systems

PDF) A polytopal generalization of Apollonian packings and Descartes' theorem

Wave Equation, fractal Geometry, Parametric equation, Stack Exchange, continuous Function, approximation, sine Wave, sine, calculus, equation

Applications of Inversive Geometry

PDF) Regular polytopes, sphere packings and Apollonian sections

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

PDF) Dismal Arithmetic

February 2023 – Viewpoints which Matter

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

PDF) Dismal Arithmetic

geometry - Frame challenge: Find the maximum $n$ such that circles of radius $1, rac12, rac13, , rac1n$ can be held immobile by a convex frame. - Mathematics Stack Exchange