Monadic set operations

In ordinary geonetrical modelling systems, set operations, eg union, intersection and difference, are described by dyadic operators. This kind of definition leads to a binary-tree structure.

In this paper a method is presented where only monadic set operators are used to describe the model completely. With this method the definition structure can be expressed as a list structure only.

A further feature of this model is that a special procedure to define symmetry and/or periodic repetitions of a certain shape can be easily added.

A program which uses this method has been written to test the model and some drawings produced by this program are shown in this paper.