Not quite sure if this is quite the OP's vision.....
Infinity coil:
I tried to wrap the wire so that it looped the wick as in the diagram provided by the OP, but flattening the loops out didn't seem to hold the wick properly and it ended up as a sort of mangled pile of wire. The extra lengths of wire between loops also made some pretty nasty hot spots and i got a lot of "hot wire" smell and taste.
I found that by using 2 small screwdrivers, I could loop the wire in more of a tight figure 8, which made the coil more rigid and compact (pics are in a tiny Phoenix RBA) and I still needed to angle it to fit. A build like this in a nova would push me over the limit for sure.
What I found really neat about this coil is that it is essentially "dual coils" without it being 2 separate coils with individual connections.
Meter reads 1ohm on the nose using 28g kanthal.
Hot coil
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With cotton wicks
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Wicks stuffed
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Tried for the big "vapor off the coil" shot but the ceiling fans are on and I'm not even going to try right now.
So I would definitely say that this could be done a bit more in the OP's original vision- maybe using something more oblong to use as a guide for wrapping, but this was a pretty fun little build and I'm thinking it will be my new Phoenix setup for sure!
It would be fun to see what else everybody comes up with!