The answer to the previous puzzle is 35.
I'll tell you how I counted.
First we count the triangles that don't have any others inside them. There are 10 of those.
Then the ones that have two inside. We count them taking symmetry into account, and look at where they can end (at the vertices of the pentagram). There are 10 of those. (2*5)
Then we count the ones that have three triangles inside. There are ten of those. They can end at the vertices of the pentagram, or in the inner pentagram.
There are none that have four triangles inside.
Then we count the ones that have five triangles inside. They can end at the vertices of the pentagram. There are five of them.
Total is 35. I made a careless mistake and got 34.
Since today is a day off, here are two puzzles at once, but they're for kids!
