Recent mornings, looking out my window before dawn, I have seen the moon wane narrower and narrower. I suppose today was the last morning it will be seen for a few weeks. Time on the first photo is 6:26, daylight savings time in Istanbul, a few minutes after the prayer call from the mosque down the street.
I had been sitting at the window, investigating (under electric light) the connection with music of the theory of numbers in Euclid’s Elements. The next photo is from 6:40. You can see the seagulls sitting on the roof.
Finally, at 6:48, the seagulls are on the wing.
It is coming to be the time of year when the morning sun is welcome to shine through my window.
Polytropy 