The hemispheres aren't evenly lit like that. Learn what seasons are.
Sure, not perfectly, but as a rough approximation, that is how they are lit.
This equates to the equinox, which is what I had referred to previously.
This is one of the simpler images to show, as it has a nice circular patch of darkness.
Even if the patch isn't perfect, it is quite easy to verify the first image, that west US & East Russia at the top of your map are experiencing day, while Western Europe and Africa in the middle of your map are in darkness, and then Australia and New Zealand at the bottom of your map are experiencing day.
Again, since you claim that your model doesn't suffer from the massive non-circular patches of light, can you draw what the pattern of illumination is?
That's a placeholder map. It says so right on the Bi-Polar model page:
Which is just a pathetic excuse to avoid the problem with your model.
The simple fact is that all you are able to do is push the problem around.
Instead of admitting this, you just appeal to ignorance and pretend there isn't a problem.
And you will also prove that the daylight times are true for all locations on earth for all times of the year.
No, we don't.
A single time of year (at various times of day) and a subset of locations is enough to show the impossibility of the model.
If the day and night calculations from timeanddate were massively off people would notice and object and it the site wouldn't remain for long.
So we can presumably trust them for locations with people in them.
If you use this data, and try to group these regions into a roughly circular path, you will end up with a globe (or at least a cylinder) as that is the only way to make it work.