Recent content by sfrick

Dan. You may be right on track. I have to find the radius for each solution so that is why I was thinking that there must be some formula that would apply. I was thinking about d=2r. When n=0, the radius would be 1/2 of the lattice unit. Then when n=1, the lattice point would be in the...

Thanks for the reply. To further clarify, I assume that the lattice points are all 1 unit apart. The goal is to find the radius of a circle, whereby the circle is the largest it can be when encompassing 0 lattice points, then another with 1 lattice point, then 2 and so on up to 9 lattice...

OlderDan Lattice = regularly spaced set of points forming a sqare array is correct. Your 2nd paragraph assumtion is correct. I need to find the solution for each n, when n=0,1,2 through 9. A general formula (solution) so that I can plug in each n would do the trick, I guess

Can someone please help me with this problem. I just don't know how to do it.

Sorry for the multiple post. I posted it in the geometry section, but noticed that their was not much activity so I posted it here. I haven't even been able to get a start on this one. The problem was given as what to look forward to in geometry next year. I'd thought it might be solved...

Hi. Can someone please help me with the following problem: What is the radius of the largest circle whose interior contains exactly n lattice points. Find the solution for n=0 through 9, and a general solution.