In any case a segment is defined by the straight line to which it belongs, and by its two extremes, determined respectively by two other straights. Thus a segment is defined by three straights. A straight in our model is defined by two elements: the angle of the main direction of the straight, and its distance to the centre. Both parameters are determined by two integer indexes, that of the angle, between 0 and N-1 (order), and that of the distance, an integer between 0 (straight passing on the centre) and D, the maximum number of distances which the form uses which is always limited and finite.
A simpler method for defining segments could be found: the Cartesian coordinates of their extremes. However, this would not allow either the perception of symmetries, or the use of the inner limitations of the lines position, which simplifies greatly the selection for human users: they will introduce the straight index of distance (1,2,3...) and the index of basic angles (1,2,3,..). It is much simpler to see two straight segments in cross, gyrated 30 degrees, than list their end coordinates (see Computer Implementation, in Apendix.2).
The symmetries of the system allow an easy definition, but by limiting the possibilities, as in any form of art.
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