plotting of points inside a rectangle

plotting of points inside a rectangle

I want to plot various points inside a rectangle such that any two points are at a distance of at least 3 units from each other. I want all possible configurations that are possible.For example ,if I have a Rectangle of 20m by 14m then one possible placement of points are at all the respective vertices. Another configuration can be four points on vertices and ,say , two points inside of rectangular area., These points can lie anywhere on vertices ,sides,inside of area as long as they are atleast 3 unit distance from each other.Thus there will be many configurations possible. Then all of these configurations should be plotted by the program

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