There are 20 common points.
To connect 12 dots with 5 straight lines while ending where you began, arrange the dots in a circular pattern. Start at one dot and draw the first line to the second dot, then continue connecting dots in a sequence, ensuring that you loop back to the starting point after completing the 5 lines. By overlapping lines and strategically choosing your connections, you can complete the task while adhering to the constraints. This puzzle requires a creative approach to visualize the connections.
If no pair of lines is parallel and if each pairwise intersection is distinct, there will be 10 points of intersection.
The greatest number of intersection points with just four lines is 6.
Five intersecting lines can have a maximum of 10 points of intersection, assuming that no two lines are parallel and no three lines intersect at the same point. Each pair of lines can intersect at one unique point, and the number of ways to choose 2 lines from 5 is given by the combination formula ( \binom{5}{2} = 10 ). Therefore, with optimal conditions, the maximum number of intersection points is 10.
It all depends on the arrangement of the dots. Besides, there is nothing about straight lines, so used curved lines instead
distribute the 12 dots around the perimeter of a pentagon
There are 20 common points.
To connect 12 dots with 5 straight lines while ending where you began, arrange the dots in a circular pattern. Start at one dot and draw the first line to the second dot, then continue connecting dots in a sequence, ensuring that you loop back to the starting point after completing the 5 lines. By overlapping lines and strategically choosing your connections, you can complete the task while adhering to the constraints. This puzzle requires a creative approach to visualize the connections.
If no pair of lines is parallel and if each pairwise intersection is distinct, there will be 10 points of intersection.
9
I can do it with 7 lines... But I cannot draw in this Wiki interface...
It is 5 o'clock when the big hand points to 12 and the small hand points to 5.
They are intersecting lines.
The greatest number of intersection points with just four lines is 6.
draw a five pointed star
5