My sampling design requires me to do a couple of things:
First I need to determine the mid-point of an irregular polygon feature. Then I'd need to create a layer of 4 line features, that intersect in the mid-point of said polygon and are all oriented N-S, NE-SW, E-W and SE-NW. As a third and final step I need to highling a point on each line that lies exactly halfway between the midpoint of the polygon and the edge of it, plus one additional point at the very center. In the end, it should look something like this: 
Is this feasible at all? Thing is, I have to do this for 32 polygons and it's just a small step for my project, so I want to spend as little time for it as necessary and thus need a method that works fast. The lines are actually just a tool to get to the 9 plot points, as plots determine the locations where I will do my sampling. So if anyone has any idea to get my 9 sampling-spots to be aligned the way I described, I'm open for all suggestions.