If two congruent rectangular regions overlap, their intersection will be a convex polygon with A sides and their union will be a non-convex polygon with B sides.
Find all possible combinations (A,B).
For example:
-----
| |
| --+--
| | | |
--+-- |
| |
-----
is one way of achieving the combination (4,8)
I am adding to this list as I find more (or find a general rule)
A B
======
3 6, 7, 8, 9
4 4, 6, 8, 10, 12
5 7, 10, 11
6 10, 12, 14
7 13
8 16
Examples for A=3, 4, 5 are here
Examples for A=6, 7, 8 are here.
Edited on May 3, 2025, 5:55 pm
soln