GANGNEUNG, South Korea — Miho Mori, an avid figure skating fan from Japan, ardently waved a Japanese flag as her countrywoman Satoko Miyahara skated to fourth place in the women’s short program on Wednesday.

But after Miyahara finished, Ms. Mori, 40, quickly folded the Japanese flag and pulled out another: a Canadian one that she unfurled for Kaetlyn Osmond, a Canadian skater who placed third in the short program.

And so it was for Alina Zagitova, a 15-year-old Russian phenomenon who took first in the short program, and Carolina Kostner, an Italian fan favorite who placed sixth.

All told, Ms. Mori and her husband, Yuichi, who came to the Pyeongchang Olympics on a skating spectators tour, brought six national flags with them so that they could show their support for their favorite skaters.