56 is the first number, for which the parametric density with Parameter 1 is best for a non sausage packing. The picture shows the densest known packing for parameter rho equals 1. | |

The picture on the right shows a so called sausage packing. These linear arrangements are the densest packings for small parameters. In higher dimensions (d>42) it is shown, that the sausage is the densest arrangement for all number of spheres and parameter 1. | |