I got things cleared up for me (thanks stief!). You have to be connected to a set number of Ultrapeers, who, if you check under statistics are labeled as Peers. If you cannot find enough Ultrapeers, then you become a leaf node, shielded by those Ultrapeers you have managed to connect to.

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iMac G4 OSX 10.3.9
RAM 256MB
LW 4.10.5 Basic
ADSL anything from 3 to 8Mbps/around 1024kbps

"Raise your can of Beer on high
And seal your fate forever
Our best years have passed us by
The Golden Age Of Leather"
-Blue Öyster Cult-