I think the white dots were overlaps?? Not sure, they just are there from selecting the whole sketch. At this point I am just experimenting with concentric patterns to see what shapes I can make by completely using a sheet of ply...in this case a bowl. I have attached the sample f3d file for reference. Note: Probably due to the playing around with a python script I wrote to generate the patterns mathematically, the original file was 12mb, so copy/pasted the sketch only. Let me know if this is sufficient for you to look at.
I found a program called VectorStyler that actually has what they term "symmetrigon". It actually was amazing for what I was trying to do. It allows you to define a rough X sided shape that any adjustments you make dynamically get reflected on all "sides". This, along with offset paths really allows you to see the net effect of tweaking the shape in real-time. Sauce: Symmetrigon
Here is the symmetrical pattern that evolved out of playing around with the symmetrigon and then importing that into F360. Note that the offset around each shape is constant, so the shape morphs as you expand/contract. The original shape is actually the middle, but I made concentric offset shapes both inward and outward.

Assembling this now (with rotation and layering), it looks like this:

Which is what I wanted to experiment with. Very small adjustments in the curve profile makes significant changes in the overall design, look and feel; so it is really difficult to experiment if there are too many steps involved in generating the output. I really don't want another piece of software, and even if there are a few more steps, I would be fine with staying in F360, but this seems to be one area that is just not easily doable (as far as I can tell).
The part that I am currently working on is trying to figure out the best way to incorporate and model kerf in this pattern to see if this is really doable. I picked up a 1.2mm bit for this purpose, but if there is not enough overlap on the base layers, it won't work. I would like to be able to change the kerf size and see the impact dynamically. That kerf size can put constraints on the rotation as well, so it is really hard to do without some sort of pattern generator.