Why do i think those same symbols......which are in Hindu temples in India......amongst other places are also in the desert SW of the USA?....explorers from ancient Indian.....

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The original Penobscot Building in Detroit, Michigan, completed about 1906, "was named after the Penobscot Indian tribe and region of Maine, the boyhood home of one of the investors. An interesting feature in the Indian-themed detail of the building is the occasional appearance of a swastika, a symbol important to the Penobscots long before it was adopted by the Nazi party."^[44] The decorative symbols feature right-facing arms and are tilted in the same manner as the Nazi flag, leading to confusion over their origin.

Former insignia of the 55th Pursuit Squadron.

The 45th Infantry Division of the United States Army used a yellow swastika on a red background as a unit symbol until the 1930s, when it was switched to a thunderbird.^[45][46][47] The American Division wore the swastika patch while fighting against Germany in World War I.
The Lafayette Escadrille squadron flew World War I fighters against Germany from 1916 to 1918, first as volunteers under French command and later as a United States unit.^[48] The official squadron insignia was a Native American with a swastika adorned headdress. Some of the squadron planes also bore a large swastika in addition to the squadron insignia.^[49]
Among the Lafayette Escadrille members who were killed in action was Arthur Bluethenthal of Wilmington, North Carolina, who is buried in a Jewish cemetery with a grave marker that includes the squadron insignia, complete with swastika.^[50]
The U.S. Army 12th Infantry Regiment coat of arms includes a number of historic symbols. A tepee with small, left facing swastikas represents the unit's campaigns in the Indian Wars of the late 19th century. The Regiment fought German forces during World War II, landing on D-Day at Utah Beach, through five European campaigns and received a Presidential Unit Citation for action during the Battle of the Bulge.

Government use

Swastikas surround the exterior window iconography at the Marriner S. Eccles Federal Reserve Board Building in Washington D.C. on Constitution Avenue between 20th and 21st Streets. The building was designed by Paul Philippe Cret and completed in 1937. Cret fought against Germany during World War I while serving in the French army.