  In this paper, we describe and visualize the densest ball and horoball
packing configurations belonging to the simply truncated $3$-dimensional
hyperbolic Coxeter orthoschemes with parallel faces. These beautiful packing
arrangements describe and show the very interesting structure of the mentioned
orthoschemes and the corresponding Coxeter groups. We use for the visualization
the Beltrami-Cayley-Klein ball model of $3$-dimensional hyperbolic space
$\boldsymbol{H}^3$ and the pictures were made by the Python software.
