Greenwich
Greenwich is famous for four things, though three of them are intimately
related: Greenwich Mean Time (GMT), the Greenwich Meridian, The Royal Greenwich
Observatory, and the Royal Naval College.
You can discover all about the first two by visting the the Royal Greenwich
Observatory, up on the hill above the Naval College. Although observations
no longer take place here (the active observatory has long since departed),
the place is a fascinating museum of astronomy and the history of measuring
time. Here you can stand with one foot in the Eastern Hemisphere and the
other in the Western Hemisphere. (of course you can do this elsewhere too,
but here it seems most significant!)
There is a foot tunnel under the Thames, but which you can walk to the
Isle of Dogs and Island Gardens DLR station (but check first to ensure
that the trains are running). From here you can take the light railway
to Canary
Wharf, Tower
Gateway or Stratford.