Does this monitor have a tile mechanism? - Acer X223W Monitor

If you are speaking about TILTING. Yes it does have a tilting ability.
If your speaking about actual TILING on your monitor, that is done from your computer it self.
How to Enable Screen Tiling and Resizing on Monitor If you constantly have 2, 3, or 16 windows open on your computer, WinSplit Revolution can help you organize your space. This little Windows utility automatically resizes and relocates windows making it easy to stack your programs vertically, horizontally, or in little boxes.

The program isn't really that useful if you've got an 800 x 600 pixel display, but if you've got a high resolution widescreen monitor, WinSplit Revolution can help you make the most of your space. You can assign keyboard shortcuts to various positions. For instance, one hotkey can maximize the current window, while another can unmaximize it and drag it to the left side of the screen.