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Y-axis capability is an enhancement to a turn/mill machine tool. The constraint of two axes of linear motion is unacceptable for some applications. While there are techniques, such as polar coordinate programming, which use axis interpolation to get three-axis like cuts, there remain some workpiece features that simply can't be cut using the two linear axes available on a standard turn/mill machine.
An example is drilling holes in the corners of a milled flat on a cylinder. You can't get to the corners of the flat without the Y-axis. Adding the Y-axis increases the linear motion capability of a turn/mill machine tool by 33 percent. It's best to think of a Y-axis equipped turn/mill center as two independent machines tools in one. First, there is the turning center. It operates exactly like any other 2-axis lathe. The second machine-tool-in-one is a four-axis machining center.
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