A complete machining center has a horizontal machine bed (1) with a vertical-axis trunnion (2) pivotal horizontally with computer-coordination proximate a first-end portion (3) and a traveling tool column (4) with computer-coordinated horizontal X and Y axes and vertical Z tool travel on a compound slide (6) proximate a second-end portion (5) for horizontal access of a cutting tool (12) on the traveling tool column to work pieces on a work-piece rotator (10) and for horizontal access of the cutting tool to work pieces on a vertical-axis milling table (38), either of which are positioned on the horizontally pivotal vertical-axis trunnion (2). A work-piece changer (31) is provided for optionally manual or computer-coordinated work-piece setup, setup reversing and finished-work-piece removal.