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From Wikipedia:
"The swastika was a widely used Native American symbol. It was used by many southwestern tribes, most notably the Navajo. Among different tribes the swastika carried various meanings. To the Hopi it represented the wandering Hopi clans; to the Navajo it represented a whirling log ( tsil no'oli' ), a sacred image representing a legend that was used in healing rituals.
"The history of the swastika goes back to the origins of the Eurasian Continent. The swastika is an important symbol in Hinduism and Buddhism, among others, and was also used in Native American and Jewish faiths prior to World War II. By the early twentieth century it was regarded worldwide as symbol of good luck and auspiciousness."
Did the Hopi and Navajos include a one-armed salute in their rituals?