Digital material assembly by passive means and modular isotropic lattice extruder system

A method of constructing a lattice structure, comprising:

• defining a path, established by an assembly head mandrel, that tiles track along as they are placed or removed from the lattice, the mandrel having tracks that enforce a trajectory path;
• connecting together along respective nodes, the tiles formed of a single geometric shape such that the connected tiles enclose a volume along the trajectory path, wherein the respective nodes comprise a loop interface feature whereby a node of one tile surrounds at least part of the node of one or more adjacent tiles;
• and
• repeating the connecting step by adding new tiles to unconnected nodes of the previously connected tiles to define a lattice volume, such that the lattice volume grows in a single direction along a centroidal axis shared by stacking the tiles consistent with the trajectory enforced by the mandrel.