A circle centered at point O is separated by points A1,A2,...,An on n equal parts (points are listed sequentially clockwise) and the rays OA1,OA2,...,OAn are constructed. The angle A2OA3 is divided by rays into two equal angles at vertex O, the angle A3OA4 is divided into three equal angles, and so on, finally, the angle AnOA1 divided into n equal angles at vertex O. A point belonging to the ray other than OA1, is connected by a segment with its orthogonal projection B0 on the neighboring (clockwise) arrow) with ray OA1, pointB1 is connected by a segment with its orthogonal projection on the next (clockwise) ray, etc. As a result of such process it turns out the broken line B0B1B2B3... infinitely "twists". Consider the question of giving the thus obtained broken numerical value of "length" L(n) and explore the value of L(n) depending on n. geometryregular polygonUkrainian TYM