Rotating and Reversing

نویسنده

  • Andrzej Trybulec
چکیده

In the change of the orientation one has to reverse the sequence (the operation introduced in [7]) and to change the second restriction one has to rotate the sequence (the operation introduced in [26]). The goal of the paper is to prove, mostly simple, facts about the relationship between properties and attributes of the finite sequence and its rotation (similar results about reversing had been proved in [7]). Some of them deal with recounting parameters, others with properties that are invariant under the rotation. We prove also that the finite sequence is either clockwise oriented or it is such after reversing. Everything is proved for the so called standard finite sequences, which means that if a point belongs to it then every point with the same abscissa or with the same ordinate, that belongs to the polygon, belongs also to the finite sequence. It does not seem that this requirement causes serious technical obstacles.

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تاریخ انتشار 1994