Beitr\"age zur Algebra und Geometrie
Contributions to Algebra and Geometry
Volume 36 (1995), No. 1

On the Radial Ratio in Dense Mixed Sphere Packings

Luis G. De Luc\'\i a

Packings of $\Bbb E^3$ are constructed with balls of two radii, $1$ and
$r<1$, with density higher than the sphere lattice packing density
($\delta ^3_L ={\pi \over \sqrt{18}}$) for every $r$ in the interval
$(0.482\ldots ,0.577\ldots ]$.