The infimum of the volumes of convex polytopes of any given facet areas is 0

N. V. Abrosimov, E. Makai, A. D. Mednykh +2

We prove the theorem mentioned in the title, for ${\mathbb{R}}^n$, where $n\ge 3$. The case of the simplex was known previously. Also, the case $n=2$ was settled, but there the in…