Stiffest possible infill

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Provenly stiffest possible infill!
This paper:
"Mechanical metamaterials at the theoretical limit of isotropic elastic stiffness".
https://www.nature.com/articles/nature21075
doi: 10.1038/nature21075

The foam achieves the so called Hashin-Shtrikman upper bounds on isotropic elastic stiffness.
There may be other foams that perform equally well but there provenly cannot be any foams that perform better.

This could be used as an infill. Both
for today's 3D printing and
for future piezomechanosynthesized structures.

It is a superposition of simple cubic infill with an
octahedral infill (octet truss with filled in faces) of halve the size.
A "cubic-octahedral" infill - so to say.

For overhang free FFF-prnting (or mechanosynthesis)
The orientation can be chosen such, that
no planes are coplanar to the print-bed.
This is on the cost of a bit of the symmetry of the whole block.

(wiki-TODO: Add images)

Misc

Trademarked by some party as "isomax".

Related

External links

Related discussion:
(sorry, sunsetted) https://plus.google.com/+NicholasSeward/posts/hDYhP91YNph