Maybe something like this?  The accurate position of the mast and rig depends on where the keel or daggerboard ends up, but I guess that one fore bunk must be sacrificed and one or two ring-frames must be added to beef up the hull 

Arne

(sketch found under sketch album 6 when the link dies)

Anonymous wrote:

What about simply rigging a junk rig on only one of the hulls?

It could well be that problems with asymmetric forces turn out to be smaller than feared, and could be dealt with. There already are catamarans with twin rigs around. It would be interesting to hear how these handle under just one sail.

A single rig would be much simpler and cheaper to make, and handling would be easier as well.

Just a thought.
Arne

Good idea.  I am already considering fitting a single dagger board, rather than repair the damaged low aspect keels. So if in same hull, should work.  
Disadvantage is that it is more load on one hull.  Though curiously one hull appears to sit lower, have not worked out why yet.  Depends how heavy the mast plus rig would be…any guesses? She has 38sqm at present.  The other downside is that the mast will become on the limit of what I can lower / move around. 

Well I am again a boat owner.  Not at present a junk I am afraid.  
Several weeks ago I bought a Woods Gypsy catamaran in Gigha (Wester Isle, Scotland) and sailed back over three days to my home near Glencoe.  If you need a bit of entertainment, I posted my adventures on my Facebook page.

She is about 18 years old, built by the previous but one owner.  Condition is not too bad, although the keels are damaged, so plenty of work for this winter before I consider converting to a junk.  The present rig is serviceable, so I will suffer the pointy rig for a year to see if she is really for me. 

If a long term keeper, a junk rig is definitely in order.  So meantime I can while away a few happy hours thinking about how to rig her.  Almost definitely a big plane.  Although there is a main cross beam about where a single mast could be, so still an option.  That said I am attracted by having shorter masts that I will be able to manhandle.  I visited Pete Hill on Oryx when nearly completed, her mast are very simple and not heavy, and have had a good testing. They are basically a hollow square with rounded corners.  I did ask Pete not too long ago what the cross section was, but he could not recall, will have chase that up.

As for the sail layout / type, definitely intrigued by a wing as Bernard’s Tiki cat. 

No doubt you will all have your own thoughts to contribute…looking forward to the discussion.