Question: What are constellations [are] visible from the equator all year round, and [which] constellations [are] NOT visible all year round ([from the] equator)? — Chae
Answer: There are no constellations visible all-year from the Earth’s equator. By the same token, all constellations are visible at some point during a given year. This is due to the fact that since the Earth rotates on an axis that points north, which would be on the horizon from a person at the equator, all stars and constellations rise and set. To see what this looks like if you could stand at the equator during an entire night, see the images of star trails from Ecuador posted by Stephane Guisard.