Cladmic patterns are hard to re-create since they're based on the overalpping waves. That said, you should be able to get something going in Particular by using mask-based emitters and also using those same masks as force attractors. It will just take experimentation. Similarly, of course a lot of this can be faked in a "static" particle system like Form by simply animating the underlying displacment and parameter maps in a pre-composition, mixed in with a bit or Fractol Noise for a hint of random motion. The mirroring can easily be achieved with CC Kaleida or Repetile.