2) For some fixed material stiffness falls with shrinking size.

So this Foam might prove quite useful for structural components in future nanofactories (and other advanced nanosystems).

The found foam is basically a superimposed union of

1) trivial cubic foam and

2) trivial octet foam (out of octahedrons and tetrahedrons)

nothing fancy - easy to model

Paper: "Mechanical metamaterials at the theoretical limit of isotropic elastic stiffness"

nature.com/nature/journal/vaop…ent/full/nature21075.html

UCSB shortnews: materials.ucsb.edu/news/materi…s-first-perform-predicted

UCSB news full article (linked): news.ucsb.edu/2017/017705/great-shape

UCSB news article with video (not linked): news.ucsb.edu/2015/015304/geometry-strength

Author: "... This material is found to archive theoretical bounds for isotropic stiffness. ..."

He's referring to something called the "Hashin-Shtrikman Bounds" of which probably few people know about.

subsurfwiki.org/wiki/Hashin%E2%80%93Shtrikman_bounds