A “polished” finish is the shiny, high-gloss type of finish with the deepest color saturation commonly seen on marble and granite countertops.
A “honed” finish is satin-smooth, but is not reflective or shiny and the colors are more muted. It’s often referred to as a “matte” finish.
Other surface finishes include: tumbled, flamed, antiqued, brushed, hammered and more. Each of these has a different look, however all of them are non-reflective. Only a “polished” finish has the high-gloss, shiny surface.