Haha! So the annual subscription. Is passed over to you - less about 12hours.
… But wait a minute!.. before you go crazily racing through all the thread archives on your free membership… What about the word “triangles” there, does that not also contain a triangle? Did that make it 26 and the subscription back to me?
There are more if you count oblongs, but they are not squares.
If there are no higher answers then we have to share whatever you have decided to offer as first prize.
I note you didn’t offer an additional annual subscription to BP - was this because you were worried that you might win it?!
There is only one point that can be an apex for any triangles i.e. the top point. Then there are four different horizontal base lines you, can use with this apex.
Each of these base lines form 6 different triangles from the apex. 1 using outside lines, 3 separate internal ones and 2 overlapping internal ones.
4 levels X 6 triangles = 24. That is all I found here.
There are definitely 40 squares (not counting rectangles/oblongs). The question was whether there might be more than 40.
It seems probably not - I showed it to someone with a maths degree who’s used to these puzzles, and he said 40 immediately. It’s quite a well-known puzzle, apparently.
What about the triangles : I found only 21 , although you say there must be 25. That means I should to train my attention, that’s why I won’t count the squares in the last puzzle so far, it’s really a lot of them there