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OpenGL Removing a part of a polygon

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I'm working on a small 3d engine, and I've been looking at the Unreal editor a bit. In this editor you can Subtract cubes from the world. But if you subtract 2 cubes next to each other, the polygon in between gets a hole in it. An example: 2 cubes next to each other How would I do something like this in OpenGL, would it be like splitting the big polygon into several smaller ones, or more like masking part of it?

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