If you check out this article at
Natural Bushcraft you'll see all sorts of suggestions for tarp rigs. They'r predominantly worked around True North tarps as that's what the author Jed Yarnold promotes.Also some good suggestions can be found
here.
At first glance the True North Big Tarp (4.5m x 3m, PU ripstop polyester) has its tie-outs set out in a somewhat irregular manner. In practice I have found it to work very well.
The long ridge set-up utilises the tarp as shown below. It's a long lowish structure but it can be totally enclosed and there's a vast amount of room under there.
I've never seen anybody else set-up a tarp like this below but I can't believe no-one has tried it before me. The figure below more or less explains it. I like it and use it quite a lot especially if the weather's not so good. Common sense says put the low (foot) end to windward. Like this the folded under corners effectively form a fitted ground sheet which is held firm by you lying on it. At the head end the door height is half the width of the tarp ie 1.5m in th Big Tarp so there'd plenty of room to sit up. At a pinch there is room to cook inside but with the door end to leeward, pegging or tying a door open provides an fine lee. The tent also benefits from a long guy from the pole, thru' the mid ridge loop to a point a few feet beyond the toe, to lift the ridge
This tarp-tent set-up will also work quite nicely in a 3m square tarp.