Ok, here's a more detailed account of yesterday.
I got going from the hotel moderately late and arrived at Alexanderplatz ~10.15 where a queue was aready forming for the viewing platform on the TV Tower; I'm pretty sure I waited longer at the Empire State building, though. Just over 200 m up and extensive views over Berlin and the surrounding area. Photos aplenty but I'm not very hopeful - pics through glass often don't work well.
After that I wandered over to Berliner Rathaus, then Nikolaikirche which claims to be the oldest building in Berlin and has very photogenic twin spires and on to Berliner Dom, which I bought a ticket for. A service was in progress. I always feel uncomfortable being a tourist in a place of worship when actual worship is going on, so I was glad to get going up the stairs out of sight and no longer be a possible cause of disturbance.
There's several "attractions" - seems like not quite the right word - including the crypt, a balcony allowing a view up to the spectacular main dome and down to the floor of the church and a museum area that incudes several scale models of church buildings. The best part is the "Dome Walk", though, especially the outside part. Photo-blitz!
After that it was time to go back to Wittenburgplatz, have a last currywurst mit pomme frites, bitte and get a taxi to the airport. Bye-bye, Berlin! It was tremendous, exhausting fun.
A few bonus experiences:
A couple of people shooting a bad video to a bad song on the steps of the Alte National Museum; a woman doing a handstand in front of a side entrance to Marienkirche while her friend photographed her; four teen girls formation dancing badly to a worse pop song they were playing in Alexanderplatz.
People = weird!
And - off to Alexanderplatz and Museuminsel! This was easy because the U-Bahn to Alexanderplatz is the same station and line I used yesterday morning. All sorts of interesting sights between there and Museum Island which is - would you believe it? - an Island full of Museums. On the way you can: walk right under the Fernsehturm (the famous TV Tower); see Marienkirche (an impressive church); meet Neptune in a fountain (Flagon and Speedy wanted photos with him); see the Berliner Rathaus, which is red, not pink, because it doesn't want to be mistaken for Bonn...; see Berliner Dom, the giant Protestant Cathedral having crossed onto Museuminsel itself and then you are at the museums. I visited the Alte National Gallery, which despite being 1/3 closed, did not give me 1/3 off the entry fee! Anyway, good 19th Century stuff here. Prredictably the French Impressionism room was the busiest, with most of the Big Name Impressionists represented but the discovery of Max Liebermann nearby made as big an impression on me. Manet was included with the Impressionists rather the the Post-Impressionists as sometimes happens and I was surprised to like the works on show; I'd never previously been a fan.
A late lunch and off to the Bode Museum, which focuses on sculpture, which proved to be a museum too far. My brain imploded. I was just too tired physically and mentally and after less than an hour I had to leave an exhibition I was thoroughly enjoying that compared African and European sculptures, masks and other ritual items. (Africa won for me every time, which was interesting.) I had numerous other things on my itinerary for the day but it was hopeless. I was too exhausted even for photo-blitz opportunities; I just went back to the hotel and napped for nearly three hours. Mysteriously, though, a Berlin Bear came back with me, as I discovered, when I checked my rucksack. The art book pile got bigger, too. Possibly it's a blessing in disguise that a number of other books were only available in German...
Last day, tomorrow. I don't have to leave for the airport until 14.00 so, depending on when I get up, I might be able to do some of the things in/near Alexander Platz that I had planned for today. No Art Museums are on the agenda, though - I'm burned out for this week.