I would like some help on the following. Is there a way to calculate how many 3" diameter circles will fit in a given right triangle? Is so, can you please tell me how to do this? I need to yeild the most circles as possible.
Thanks in advance.
I would like some help on the following. Is there a way to calculate how many 3" diameter circles will fit in a given right triangle? Is so, can you please tell me how to do this? I need to yeild the most circles as possible.
Thanks in advance.
Google for "circle packing". A simple solution (most likely suboptimal) consists in placing the right triangle in the first quadrant of the plane (with the right angle at the origin), imagining a square grid with squares of side length =6, and counting how many complete squares are inside the triangle, plus any partial squares that can still contain a circle of radius 3. For large triangles, a hexagonal packing probably is better.Originally Posted by t_witt
I would plot the vertices of this right triangle on the x-y coordinate plane, than investigate the problem from there. But it definitely depends on the radius and size of the triangle. I believ with complete faith that infinitely many triangles can be draw inside this triangle.
Thanks hpe I will give that a try.
The reason for this routine is that I work for a company that builds and installs wine cellars. We need the ability to calucate how many bottles will fit in a diamond cube. A quater of a diamond cube is a right triangle. Currently we reference a chart to determin how many bottles will fit in a cube. I'm trying to streamline the process.