please empty your brain below

Being pedantic, the sun can shine from north to south in the northern hemisphere, but not north of the tropic of Cancer.
As you say, the buildings complicate the situation at sunset and sunrise. But even if the buildings weren't there, the shadow at those times would not be infinitely long, because the earth is curved. Hard to work out its length, but based on ships disappearing below the horizon even from the crows nest, I would reckon a few tens of miles.
The form "overshadowed by" is what I've heard more often. But people will tend to say it (as in "he was overshadowed by his elder brother) when they really mean "eclipsed". And I don't think those two are the same thing.
This is the sort of Nerdy Cult stuff I come here for!
Indeed, a fascinating analysis, thanks. And the Suncalc website you link to is amazing!
Hope you don't mind if I steal borrow this for a future maths project.

Long live the little known very nerdy cult.
Definitely ticks the nerdy box this one!
Wiv a ladder and some glasses
You could see the 'Ackney Marshes
If it wasn't for the 'ouses in between.
(Edgar Bateman)
That's an awful lot of maffs for a Sunday morning!
The front of my house faces NW so I notice how far across the road its shadow stretches at different times of the year.
The front garden doesn't receive any sunshine before the spring equinox or after the autumn one!
I'm in the 'overshadowed' camp, I associate 'in the shadow of' when talking about people rather than places.

I'd regard 'eclipsed' as being used for comparing the performance/record of two people/things in the same category where one has had an outstanding (perhaps unexpected) success.

Still interesting.
Now I'm properly awake, the length of the sunset shadow of the Shard is not so hard to work out. Pythagoras tells me it is about 62 km, so would stretch to Basildon on the appropriate date, but not to Southend.
Classic!!!
Well done.
The way your brain works never ceases to leave me in awe. This is one of the things I might have noticed in passing but would never have thought to actively investigate. Long live nerdism (or is it nerdistry or nerdiness).
Brilliant stuff.
I still have the booklet we used to need for looking up tan, sin, cos and the rest. I can barely remember the first thing about what to do with them, though that formula rang a vague bell!

An increasing amount of the riverside walk on the south side of the Thames is permanently in the shadow of high rise flats. In that respect the north bank is far preferable except on a very hot day.
And this is why north-facing gardens are not as dark as people would have you believe (particularly for a typical terraced house).
All this talk of the shadows and no mention of Cliff.










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