Forest for the Trees
Zach Wisner Gross problem from Fiddler on the Proof.
https://open.substack.com/pub/thefiddler/p/can-you-see-the-forest-for-the-trees
"You find yourself amidst what appears to be an infinite grid of trees. For the purposes of this puzzle, let’s suppose each tree is a perfect cylinder. You are at the point (0, 0), but there’s a tree with a radius of 0.25 units (and diameter 0.5 units) centered at every other point in the plane with integer coordinates.
Of course, you can’t actually see infinitely many trees. Most of them are obscured by the trees immediately around you. As you look around in all directions, how many distinct trees are you able to see?"
Thought this was a lovely extension of the idea of seeing the rationals this way, and wanted to see it. You can zoom in and out and it will show you the intersections.
Photo by Bev Van Kampen
