New upper bounds for the density of translative packings of three-dimensional convex bodies with tetrahedral symmetry

Maria Dostert, Cristóbal Guzmán, Fernando Mário de Oliveira Filho +1

In this paper we determine new upper bounds for the maximal density of translative packings of superballs in three dimensions (unit balls for the $l_3^p$-norm) and of Platonic and…