There are two types of quarter moons:
* First Quarter Moon: This occurs about a week after the new moon, when the right half of the moon is illuminated (from our perspective on Earth).
* Last Quarter Moon: This occurs about a week after the full moon, when the left half of the moon is illuminated.
It's important to note that the terms "first" and "last" refer to the moon's phases in relation to the new moon, not the actual order they appear in the lunar cycle.