Click here to move to the equator.
You can't see the North Star because it's right on the horizon. Its altitude is equal to your latitude, which is now zero.
Press the P button in the Time and Date display to start time running forward, and you can guess its location by seeing how the stars still pivot around a point.
Now click here to face south. The stars in this half of the sky pivot around a point on the horizon that is due south. This is the south celestial pole.
The way the sky turns in the north is symmetrical with the way it turns in the south. Stars that rise due east pass directly overhead and set due west. From this location, all stars rise and set; no stars are circumpolar.
Along the equator (and nowhere else on Earth), every part of the celestial sphere is visible at some point in the year.