create various topologies of a structure

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Ace_ventura
Ace_ventura 2015-2-2
评论： Guillaume 2015-2-5
hello guys. I want to plot various positions of coordinates, inside a given rectangle. In other words, a rectangle is given and I have to mark various positions in the rectangle such that each position is at a distance of at least 3 units from its surrounding positions.
For example, if I have a rectangle of 10X15 units , then one of the set of configurations of positions will be points marked at all the four vertices . The other set of configuration can be all vertices and the midpoints of sides.
Similarly certain finite configurations will result. The positions marked can be inside of rectangle.
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Ace_ventura
Ace_ventura 2015-2-5
I want all the ways in which it can be packed. The points might lie inside of it not just vertices. I will then employ genetic algorithm to find, one of the optimums. But for this case, I just want the various configurations that may result when we try to impose above said conditions_(points not less than 3 unit distance). I hope it is clear
Guillaume
Guillaume 2015-2-5
I must be missing something, because isn't there an infinity of possible vertice position?
For example, suppose your locate your first vertice on a corner. A second vertice can then be located at distance [3 to length of rectangle] side onto the side of the rectangle. That interval includes an infinity of points.

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