Cluster 1: bike frames inside Sommerville-Tetrahedrons

Combining the concept of bike frames contained in cells with aggregation systems based on the Sommerville-type interconnected structures can be created.

From the previously studied bike frame clusters, two types align well with the centers of faces of regular Sommerville-tetrahedrons. Type 04 type fits well inside the cell due to its symmetry, but connects only to 3 of the 4 faces. Therefore aggregations can only form interconnected structures in specific combinations of parts.

The lack of connections results in relatively loose constructs with large loops.

Type 18 clusters, however, allow to access all four sides of the tetrahedral cell and therefore produce denser structures.

The simplicity of type 18 has the benefit of consisting of only two bikes and one standard joint allowing for larger aggregations utilizing fewer bike frames. Its disadvantage is a lesser stability compared to other cluster types consisting of more bike frames. This could be overcome by compensating for a possible lack of stability (bracing) also on an overall aggregation level.

When representing the bike frame clusters as tetrahedrons with vertices at the connections in between parts, the connectivity of aggregations becomes more easily visible.

Aggregations only with type A (above), and type A and B (below) share the same (connection) topology, but in the latter example each two adjacent bike frames are connected in 90-degree orientation producing a more complex pattern (visually).