Do a search for "polishing marble countertop". Many options pop up, many of which seem to be diamond abrasive- and water-based, as in "messy". You might see if you can find a small piece of matching material and see how Platin works with it. Steve Bace has a great set of instructions for polishing solid surface material, and while the abrasive schedule he suggests is right for solid surface materials, but not likely so for stone or cultured stone, the techniques for using Festool tooling are likely very directly applicable. Why not see if you can pick up a small cut-off of the same material you have and see how Platin works with it. Same goes for the 5,000 and 8,000 grit liquid polishing compounds used with the hard and soft felt pads on the Rotex once you've used the highest grit of Platin.