RIO DE JANEIRO — In her 11 Olympics as a coach or leader of a gymnastics team, Martha Karolyi, the often stone-faced and certainly serious coordinator of the United States women’s gymnastics national team, has cried only twice.

Once was at her first Games, in 1976, when she and her husband, Bela, led Nadia Comaneci to a gold medal in the all-around.

The second time was Tuesday, at these Rio Games.

From her seat in the Rio Olympic Arena, just above the balance beam, Karolyi’s eyes grew wet behind her glasses as she watched her squad dominate and win the team gold medal. The American team was dazzling — the best team ever, Karolyi acknowledged afterward — as it won in a landslide over Russia, finishing ahead by 8.2 points, a grand canyon of a gap in asport that calculates margins by thousandths of a point.

Just before the medal ceremony, the United States team ran over to Karolyi to celebrate and shared some news: They finally had come up with a nickname for themselves.