The geometric primitive MatOrus

Abstract

This paper explores the potential of forming hierarchical structures using a geometric primitive, that we called MatOrus, which is a 3D closed surface formed from a Bézier circle. Several MaTorii (a set of MatOrus) can be systematically assembled into variations of interlocking structures, therefore multiple MaTorii can be used as basic elements to build larger and complex geometric structures. We investigate a method that can generate the geometry proposed using a parametric coding so that the several shapes can be created easily. We also propose several forms of integrating the basic form in order to obtain aesthetic geometry that can be used in fields such as sculpture and architectural design. Our results show that the method requires minimum of memory source, a few number of operations and it is effective in procedural parameterizing.