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The sensual Apollonian circle packing. (English) Zbl 1354.52025

This is a very picturesque expository paper which reveals surprising intimate relationships between geometric Apollonian circle packings and algebraic sensual quadratic forms of J. H. Conway [The sensual (quadratic) form. Assisted by Francis Y. C. Fung. Washington, DC: The Mathematical Association of America (1997; Zbl 0885.11002)].

MSC:

52C26 Circle packings and discrete conformal geometry
11E39 Bilinear and Hermitian forms
11E12 Quadratic forms over global rings and fields
11E16 General binary quadratic forms

Citations:

Zbl 0885.11002

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References:

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