Form of Link Patterns formed with Toruses

Abstract

In the mathematical knot theory, knot can be defined as an embedding of a circle in the three dimensional Euclidean space, link can be defined as a group of knots. In the plastic sense, as 3-dimensional objects, knots and links represent a very interesting phenomenon. This paper focuses on shapes of links formed with toruses, using computer graphics, and attempts to present variations of the form of link patterns which are interesting in visual and plastic sense. The basis for the study of these designs is the mathematical knot theory.