Here's a breakdown:
* The first US flag, known as the "Grand Union Flag", had 13 stripes representing the 13 original colonies. It did not have stars.
* The first flag with stars was adopted in 1777. It featured 13 white stars on a blue field, representing the 13 colonies. The exact arrangement of these stars is unclear and there are several different versions depicted.
* The flag has been changed 26 times since then. Each time a new state joined the union, a new star was added to the flag. The arrangement of the stars has also been changed several times, with each designer choosing a new pattern.
* The current arrangement of stars, a circle of 50 stars, was designed by Robert Heft in 1959. He was a high school student at the time and his design was chosen from a competition.
So, while there is no single designer responsible for the stars on the flag, Robert Heft is credited with designing the current arrangement of stars in a circle.