Алгоритм "Главный"
1

Point p1 is given with coordinates -451.5 and -82.

Simple matching

2

The circle d1 is given by the center p1 and the radius of 199.18082.

Simple matching

 

3

The straight line o1 is given by the coordinates of two points: X1 = -29.5, Y1 = -154, X2 = 70.5, Y2 = -154.

Simple matching

4

The value of n is 12.

Simple matching

5

The point p2 belongs to the object d1 with the membership parameter [0~1~n].

Multiple matching - A circle is one, and there are many parameter's values

6

The circle d2 is given by the center p2 and radius is 305.76386.

Multiple matching - there are many points, and the radius value is one

7

The points p7 and p8 are the intersections of the line o1 and the circle d2.

Multiple matching - the line is single, but tere are a lot of circles

8

The line o2 is given by the points p7 and p2.

Simple matching - To each point of p7 there corresponds a point of p2

9

The point p9 belongs to the object o2 with the parameter 0.44426107.

Multiple matching - there are many lines, but value is single

10

The straight line o3 is drawn through the point p9 at the angle rect to the line o2.

The matching is combined: mu (3, no (1,2)). In this function, the first parameter is a straight line, the second parameter is a point, the third is the angle. There are many lines and points and they correspond to each other, therefore between these parameters - the first and the second - is established simple matching. A single number rect, equal to 90, corresponds to these pairs there. Therefore, between pairs and this number (the third parameter by the account) is establised multiple matching: mu(3,no(1,2)).

11

The point p10 belongs to the object o3 with the parameter -1.966.

Multiple matching. There are many lines, but number is one.

12

The straight line o4 is given by the points p10 and p10.

Shift matching. Each point of the set is connected to the next point of this set.

       
    The shape of the curve at n = 120.
       
    Load example