[SiempreViernes]

> Every UTM grid is perfectly square and exactly the same size. All UTM coordinate grids are perfectly square and exactly the same size — 1,000 meters by 1,000 meters — across the entire grid system.

Since the Earth does in fact not have a circumference that's a integer multiple of 1 km, does this mean this projection just leaves out some sliver of the Earth's surface?

East to west its not too bad, just 17 metres off, but north to south that's over 800 meter of extra surface to hide!

[Waterluvian]

Holes are left at the poles. A filler is the Universal Polar Stereographic projection.

UTM actually doesn’t cover a lot more than you think. Because at the extreme poles exaggeration would make them basically useless.I think they terminate at 84 degrees N and 80 degrees S.

It’s been a long time since I studied this stuff so I’d look this all up rather than take my word.