Алгебраическое описание улиток Паскаля порядка n
Algebraic Description of Pascal’s Snails of Order n

Summary/Abstract: As a generalization of the well-known concept of Pascal’s snail for two circles a geometric notion of Pascal’s snail of order n is introduced in the paper for n circles. It is solved the problem of its algebraic description in the form of a polynomial with complex coefficients under the condition that the module of the complex variable is equal to 1. The role and importance of the information component is demonstrated by an example of animation drawings in GeoGebra environment, which have been used during the experiments. Some of the accompanying proofs turn out to be obvious in verbal sense and the reliability of the assertions is confirmed by animation drawing models.

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