  Topological Interlocking assemblies are arrangements of blocks kinematically
constrained by a fixed frame, such that all rigid body motions of each block
are constrained only by its permanent contact with other blocks and the frame.
In the literature several blocks are introduced that can be arranged into
different interlocking assemblies. In this study we investigate the influence
of arrangement on the overall structural behaviour of the resulting
interlocking assemblies. This is performed using the Versatile Block, as it can
be arranged in three different doubly periodic ways given by wallpaper
symmetries. Our focus lies on the load transfer mechanisms from the assembly
onto the frame. For fast a priori evaluation of the assemblies we introduce a
combinatorial model called Interlocking Flows. To investigate our assemblies
from a mechanical point of view we conduct several finite element studies.
These reveal a strong influence of arrangement on the structural behaviour, for
instance, an impact on both the point and amount of maximum deflection. The
results of the finite element analysis are in very good agreement with the
predictions of the Interlocking Flow model. Our source code, data and examples
are available under https://doi.org/10.5281/zenodo.10246034.
