Abstract: A floor grinding and polishing machine including a base that includes a shroud, and first and second spindle carriers rotatably coupled thereto which have first and second axes of rotation spaced from each other in an alignment direction. The base also includes first and second pluralities of rotatable spindles, each plurality carried by a spindle carrier and distributed about the respective spindle carrier axis of rotation. Motors are connected to the shroud and drivingly engaged with the pluralities of spindles, whereby each plurality of spindles is rotatably driven about its respective spindle axis of rotation. The machine also includes floor-engaging handle coupled to the base and defining a direction of operative movement along which the machine may linearly travel. The base and handle have different first and second selective, relative positions in which the alignment and operative movement direction have substantially different relative angular positions.