(This post is about hanging a large tarp)
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The key to this comprises three main factors:
(1) a taut ridge line
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(2) two corners on opposite sides being lower than the other corner on that side
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(3) the 'long' side being taut
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(1)TAUT RIDGELINE
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The first end uses a loggers (doo-dah - can't remember correct name). This is the first time I have seen this very easy way to secure the 'first' end of a ridgeline, without fear of it being difficult to undo. The knot of choice for this - for me - has previously been the evenk thingy - but I will be using this in future until I get a good reason to change my mind:
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Doing the other side is a bit more complicated but the big advantage is that the knot frees up easily when you are taking down. As Steve said above it is - in summary - a half sheepshank and a carabiner, and is a variation of the trucker's hitch.
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The final knot looks like this (a bit unfortunate that I cut off Paul's head but - "You know it makes sense":
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You get there by:
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Starting as if you were going to make a sheepshank (I knew about a sheepshank but didn't know how to make one and this is something I need to practise)
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Then you put a stick through the 'half-sheepshank' that you have created (to stop it coming undone):
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After that you put a carabiner through the un-sheep-shanked end. The following is an action picture so the carabiner is a bit blurred:
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Next you put the end of the rope that is round the tree (being the end without the logger's thingy knot) through the carabiner. A big advantage over the trucker's hitch is that you don't have to thread a load of rope through
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And so when you pull the vertical rope to the left (in this example), and tie it off, you get:
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The technical bit is (I think - but stand to be corrected) is that you have created a pulley (as with trucker's hitch) but the existence of the carabiner means that there is less friction and so the mechanical advantage (still with me? - I'm not - or should that be 'knot'?) of 3:1 is more easily achieved.
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A big plus point over the normal trucker's hitch is that the knot is very easy to undo with no jamming. I use a DD tarp tape for my ridgeline and I generally find it easy to undo but even that can be a bit awkward when the knot is tight and wet (ooh -err) but this method removes that problem.
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I think that the rope Paul used was 11mm static (ie does not stretch) kernmantle rope. I am advised that 9mm would be ok.
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So that approach gives you a taut ridgeline.
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Next is .......
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(2) THE TWO CORNERS ON OPPOSITE SIDES BEING LOWER THAN THE OTHER CORNER ON THAT SIDE
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This is very simple to do - you just have to remember to do it
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In this picture you can only see three corners but it should be enough for you to get the idea.
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The final bit is ....
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(3) THE LONG SIDE BEING TAUT
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This is achieved simply by making sure that the four corner posts are angled outwards when you tighten the guy ropes:
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Paul showed us this special technique for when the posts aren't angled outwards enough - you just stare at them in a weird way.
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To help adjust the position of the post you use this simple 'knot':
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(Apologies for it being a bit blurred - but that's how it looked to me after the previous night's 'refreshments'.)
fantastic, there were actually two other clean shaven oddities on site over the weekend but at that particular moment one of them was behind the camera and the other was probably asleep by the fire 
