# Counting the number of equally spaced points in a given area

• Mar 9th 2011, 07:15 PM
kcmei
Counting the number of equally spaced points in a given area
Hi, I got a problem that I cannot get my head around, here it is:

I am given an area of xxx m2

The task is to count the number of equally spaced points within that area

The spacing between each point is given and arranged in the following pattern
Attachment 21092

Note that there may be millionbs of points in that huge area

Thanks so much for any advice
• Mar 9th 2011, 09:49 PM
CaptainBlack
Quote:

Originally Posted by kcmei
Hi, I got a problem that I cannot get my head around, here it is:

I am given an area of xxx m2

The task is to count the number of equally spaced points within that area

The spacing between each point is given and arranged in the following pattern
Attachment 21092

Note that there may be millionbs of points in that huge area

Thanks so much for any advice

There is no simple formula for this without knowing something about the shape of the area. But there could be approximately [xxx/(1.2)^2](2/sqrt(3))

Each triangle has three vertices and each vertex is a vertex of six triangles. So if the area of a triangle is A there are approximately xxx/A triangles and so (xxx/A)*2 points.

CB