in astronomy, asterism is when stars APPEAR to be forming a picture or pttern.
exoplanets
A meteor in space is called a meteor. When it reaches earth its a meteorite.
Stars is a plural noun (whether it be referring to stars in the sky or Hollywood stars) and a verb (third person singular conjugation of star).
Starry Night.
chefs get their stars by being examined by master chefs with 5 stars and by their preformance if they do well enough hey get a star
constellation
A group of stars that suggests a pattern is a constellation, but the picture is strictly in the mind of the viewer.
An Asterism.
a pattern or picture made up of stars in the night sky
A group of stars that form a picture is called a constellation. These patterns are recognized and named by different cultures around the world.
imaginary picture from stars,called Andromeda
An specific pattern of stars could be called a constellation.
CONSTELLATION
They're called constellations.
I believe the word you are looking for is "asterism."
A constellation. (Also an asterism does this.)
I think you need to better define what you mean by "configuration". If you mean a pattern of stars with which you can play connect-the-dots to form a picture in the sky, that configuration is called a constellation. If by configuration you mean a close grouping of stars, it would be called a cluster if the total number of stars was in the hundreds of thousands to millions, or even a galaxy of the total number of stars was in the hundres of millions to billions.