Though the forecast was for rain last night, the sky was surprisingly clear. A few passing clouds wandered through around 11:00 pm but did not linger long enough to convince me to go to bed at a reasonable hour, and I foolishly observed until 1 am, goaded on by Jon Isaac's taunts about 80mm refractors. I paid for that today. Particularly after getting my second shingles vaccine yesterday afternoon, which caused more trouble for me than about any vaccine ever. 
Anyway, waiting for the clouds to pass, I did hand held observing with 10x binoculars for 20 minutes or so, which is an unusually long spell for me, picking out M57, M27, M15, M2, 61 Cygni, and an overlooked but pleasing open cluster in Cygnus, NGC 7063, among other lovelies.
I put a lot of effort into resolving Polaris, STF 93, with various binoculars.
STF 93 / Polaris
02h31m +89*16'
2.04/9.10 18.4" pa 236*
The essential challenge was to observe it with a 20x80 binocular, which I was not able to do either unmasked or with the 40mm aperture masks shown above. I subsequently tried the Obewerk 20x65ED, but no joy. The OB 25x100 made short work of the double, however, handily resolving it and providing an enjoyable view. Following that I had the happy thought to try the 20x80 with the 70mm aperture masks and was able to resolve the secondary, seeing it about 30% of the time. A challenging observation to be sure. I'm thinking 80mm masks for the 100 might be a nice addition to the tool kit, wondering what that view would be like. So more to come on that front.
The OB 70XL made short work of the double. I could glimpse it part of the time at 19.5x with 20mm Pentax eyepieces, seeing it about 60% of the time with 14mm XWs (27.85x) and steadily with 10mm XWs (39x).
Seeing conditions were not great, nor was transparency, so it might be possible to do better on another evening. If I feel like tormenting myself when appropriate sky conditions occur, a sequel to this post may be aired. 
I find making an observation like that, pushing the limit of a given instrument, to be a fun occasional challenge, but prefer to devote most of my time to double stars that are more relaxing and enjoyable at whatever magnification level.
After observing Polaris, I visited STF 2737 / 1 Equulei, to my taste a more enjoyable and beautiful double star for a 20x binocular. And then visited some multiple star friends from last fall in Delphinus, also relaxing and lovely in a 20x glass.
Here is another thing I have thought of for amusement. Rather than gnashing one's teeth over double stars that might be beyond reach for a given instrument, why not go for the glass is half full gambit
and concentrate on viewing double stars with which one is not yet familiar? Accordingly, I have devised a list of 100 doubles in Cygnus that should be within reach of a 20x80 binocular (primary/secondary brighter than 9.5 magnitude, separation between 7 and 200 arc seconds, magnitude difference under 2.0). Such a pleasing round number, it is almost hard to believe. So, this is officially the Cygni 100 Challenge.
Edited by Fiske, 28 July 2022 - 07:18 PM.