A method of polishing a marble terrazzo floor, including shaving the surface with a first plurality of first diamond abrasive particles, and shaving the surface with a second plurality of second diamond abrasive particles. The first diamond abrasive particles are MBG-type mesh crystals characterized by a first average size, wherein the second diamond abrasive particles MBG-type mesh crystals characterized by a second, smaller average size, and wherein the diamond abrasive particles substantially laterally impact surface protrusions.