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Proceedings of CAD'16, 2016, 118-121
A Generative System of Interlocking Structures with one Type of Octocube

Shen-Guan Shih, Yu-Ren Ho, National Taiwan University of Science and Technology

Abstract. A polycube is the configuration created by joining more than one cube of the same size with adjacent faces fully aligned. An octocube is a polycube composed of eight cubes. This paper investigates some properties of a specific type of octocube, instances of which can be systematically interlocked to form a large variety of 3D structures. In particular, we are most interested in three issues, first of which is the possibility for sophisticated propagation with just one type of polycubes. It is regarding what and how a type of simple polycube can be interlocked to form larger and ever more sophisticated structures. The second issue is regarding how the complex interlocking forms can be derived systematically. The third issue is to discover the essential geometric characteristics that enable the base polycube to acquire the above capacities. Interlocking is a very challenging geometric problem that closely related to CAD/CAM technology. Interlocking of assembled structures can be analyzed by finding the degrees of translational freedom for individual part of the structure, and the network of relations for parts engagements. Researches have been conducted to the development of algorithms for automatic generations of interlocking parts for desirable forms. Among these researches, polycubes were often used as the basic structure of the assembled parts.

Keywords. Polycube, Interlocking structure, Assembly

DOI: 10.14733/cadconfP.2016.118-121