
Using an aggregation system based on regular Sommerville-tetra cells, bike frame clusters can be connected along edges.
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Using an aggregation system based on regular Sommerville-tetra cells, bike frame clusters can be connected along edges.
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Combining the concept of bike frames contained in cells with aggregation systems based on the Sommerville-type interconnected structures can be created.
Continue readingWhile it is not possible to fill space with regular tetrahedra, there are – according to WOLFRAM – five known irregular space-filling tetrahedral cells, when mirror cells are excluded.
At first we looked at Hill’s tetrahedra and Izidor Hafner “Definitions of Hill’s Tetrahedra” on the Wolfram Demonstrations Project was very helpful in setting up our Grasshopper definitions.



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.

After aggregating regular tetrahedra following different set of rules these tetra-units are replaced by by various bike-frame cluster modules.
Each of these cluster modules is made up of 2-3 bike frames from the scanned set and fitted into a regular tetrahedral container. For this study only copies of one single cluster type are populated throughout the aggregated frameworks replacing the regular tetra-units. This is done assuming that other bike-frames within a certain tolerance range can be used to form the same combinations (possibly with a slightly different clipping at the joint-plate areas). The bigger the inventory of bike frames, the more likely it is to find very similar bike-frames.



Fig.1: Bike Cluster TYPE 12 is used for the first study. Dependening on the bike-frames orientation within one tetrahedral cell informed by the respective connection logic (from left to right: face to face, edge to edge, vertex to vertex) the amount of “empty space” locally within one unit varies immensely.
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Based on the idea of clusters that form a tetrahedral construction module, different configurations of bike frames are studied.
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Digitizing the first collection of bike frames.
Continue readingAnother directive of this project is finding different ways to increase the accessibility to, and to spread the knowledge we aquire in the process of our research. Inventorics is located at the Institute of Art Science and Art Education after all.
While working on physical studies with 3d-printed bike-frames the idea to develop this into a toy construction kit evolved quite naturally…


A cluster of three bike frames, that was developed in previous studies on compact cells, is used as a spatial module.
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