Thread: Hinge help

I'm planning a games table with two double-sided fold out leaves/extentions. The leaves would need to occupy 3 different positions (see pic attached) depending on the use at the time. The material will be mdf, I am waiting to find a hinge before determining which thickness to use.

Is there a hinge that has a 270 degree opening, that will permit these three positions, without creating too wide a gap between the table top and the extended leaves? Ideally they'd be unobtrusive or rebated but it's not important that they be concealed.

The leaves will have independent support when folded out so no support is required from the hinge itself.

Thanks..