Hello, chil2e!
Two distinct circles and a square lie in the plane.
What is the maximum number of points of intersection of 2 or more of these 3 figures? We can "talk" our way through most of it.
Let represent the square and two circles.
We can "see" that:
. . and intersect in at most 2 points.
. . and intersect in at most 2 points.
. . and intersect in at most 2 points.
The maximum number of intersections is: .
Bottom line: is such a figure possible? Code:
* * * * * *
* * * *
* o *
* * * *
* * * *
* * - - o - o - - * *
* | * * | *
| |
* | * * | *
* | o | *
* | * * | *
* o * * o *
| |
* - - - - - - - *
Yes!