What locations on the Earth can periods of 24 hours of daylight & other periods with 24 hours of darkness?

The North and South Poles.

yup, the poles. This is due to the earths axis being tilted. In Summer (June- august)in the north pole has 24 hours daylight and the south pole has 24 hours darkness, in winter (october-feb) the north pole has 24 hours darkness and the south pole 24 hours daylight.

In winter some places north of the artic circle can experience 24 hours of darkness; while in summer they can have 24 hours of daylight

In the Arctic and the Antarctic circles–although, of course, if you have more than one period of 24 hours of daylight/drkness in a row, you can have months of either one.

the arctic circle has a period of darkness where if you stand in the same place you can literaly watch the sun come about an inch above the horizon then all day watch it circle around the mountian range after 24 hours then it rises into the next day.

alaska is always daylight except a few days in the years

The 2 poles in either winter or summer. (June 21 – Dec 21) ~

Alaska

Only the poles can have this.