The first step in the experiment to modify the Diane pattern is to remove the centre and see how the pattern holds together without it. As you can see, not well. The centre now looks like it has a gaping hole.
The stability of the pattern is also lost without the centre. This round doily can warp into oblong shapes easily. As you can see in the photo, the middle rings are not evenly spaced… and they will move if you pick it up.
So now to try out possible new centres.