In connection with this [Why am I getting, "Unable to connect to the remote server"? problem, I ran "Netstat -na" in cmd.exe, to make sure the server that is running is really seen as actually running.
I see an entry with the port number in it:
[::]:28642 [::]:0 LISTENING
...but what is this "[::]:" jazz?
Do these Picaso-esque dominos indicate a problem, or...???
It's a non-routable IPv6 meta-address that specifies "all interfaces", similar to 0.0.0.0 in IPv4. In this case it's listening on all registered local IPv6 addresses on port 28642.