Before redesigning the panels I did a quick test to check what adding tabs to them would mean.
Screenshot 2014-07-31 07.48.10

After adding three tabs to the hexagons it looks like we would only need 20 connectors to join them up! This also slashes the number of bolts and washers too which is good. If the half hexagons have tabs on three sides they should also fit easily at the top.
Now the Feel Three should be modular so I would have to check this idea works for the other configurations but it seems to me that the idea is a winner!

Lets hope I have another as good next time I try to sleep 🙂