The interval of disk packing exponents

Wilker, J. B.

doi:10.1090/S0002-9939-1973-0350628-6

The interval of disk packing exponents
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Proc. Amer. Math. Soc. 41 (1973), 255-260 Request permission

Abstract:

The set of disk packing exponents is an interval equal to $(E,2]$ or $[E,2]$. The set of triangle packing exponents is $[{\log _2}3,2]$. The analogy strongly suggests that $E$ is attained and that $E = S$, the osculatory exponent whose value is known to lie in the interval $1.0300197 < S < 1.314534$.

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Almost perfect packings