Mosaic groove shaping machines operate by using cutting or shaping tools that are guided along the surface of the mosaic tile. The tools can be rotary cutters, milling tools, or specialized shaping heads, depending on the type of groove required. The machine moves the tool in a controlled manner over the tile surface, following programmed paths or manual guides, to create grooves of different depths, widths, and patterns. The process may involve mechanical, pneumatic, or electrical power to drive the shaping tools, ensuring precise and consistent groove formation.