[RedDevil]

Originally Posted by Xist

... the (average?) latitude of Alaska is 64.0000° N and the axial tilt of earth is 23.4° ... So, in the middle of the summer, Alaska would have twenty-four hours of sunlight at 41.6°, while on the equator, you would have over twelve hours at 23.4°, while in the dead of winter, Alaska would not have any sunlight, while on the equator, you would have over twelve hours at 23.4°.

Nice!
But you got your centerpoint in Alaska beneath the arctic circle. There won't be a 24 hour day at 64° even at midsummer.
Furthermore you measured angles to the zenith instead to the horizon. In midsummer (or midwinter) at the equator the sun will reach a 66.5622° angle to the horizon.

The sun will reach a higher point on the equator than within the polar circle. The average height of the sun during 24 hour will not be more than 23.4° within the polar circle. At the equator it will be 0°, but over the 12 hours of daylight it will average way more of course, so the total amount of light is almost the same.
The area that gets the most light in summer is the temperate north zone; the USA & lower Canada, Europe, etc. The sun gets almost as high as at the equator but the days last significantly longer.