Cluster 1: Rhombic dodecahedron panels

In an alternative concept for discrete aggregation systems that are based on packed volumes, parts could also be defined as individual faces of a solid.
This idea is studied using the faces of rhombic dodecahedrons that can be arranged as a space-filling tesselation.

Such formations contain only one type of face, that is used as a universal part.
As in previous studies, the abstract geometry is used as a container for a cluster of bike frames.
The flat faces are therefore extruded into volumetric panels. The edge faces lay in the respective bisecting plane in between two adjacent faces of the dodecahedron, forming a conical unit.

The bike frame cluster within is oriented to exceed the containing volume at the centers of each edge face to create part connections. The bike frames are trimmed at these locations to form plate joints according to a previously developed concept.

To allow parts to be connected at an angle as well as along the same plane, the corners of containing volumes are chamfered to avoid collisions in the aggregation.

This way, interconnected aggregations can be formed with parts populating two intersecting rhombic grids (green and orange in the image above) that share every second vertex.


Using a cluster of only two bike frames, a smaller and simpler part can be assembled. The bike frames – in one location extended by an additional pipe – exceed the bounding volume twice along each edge of a panel. When the two cut-off ends are joined by a profile or plate, an edge connection is created. As an effect, adjacent parts share more contact surface which results in a more stable overall aggregation.