Jewish stars and swastikas

There are lots of 6-sided stars in India, and also lots of swastikas, as ornaments, decorations for buildings, etc. My friend Lorraine pointed out before we came here that the 6-sided stars are not Jewish stars, and the swastikas are not Nazi symbols. I found the following background on wikipedia:

"....the "Star of David" originates in the writings of Aristotle, who used triangles in different positions to indicate the different basic elements. The superposed triangles thus represented combinations of those elements. From Aristotle's writings those symbols made their ways into early, pre-Muslim Arab literature."

"The swastika (Sanskrit: स्वास्तिक) is an equilateral cross with its arms bent at right angles, in either right-facing (卐) form or its mirrored left-facing (卍) form. Earliest archaeological evidence of swastika-shaped ornaments dates back to the Indus Valley Civilization of Ancient India as well as Classical Antiquity. It remains widely used in Eastern religions, specifically in Hinduism, Buddhism and Jainism."

Nonetheless, it was jarring to see this box of sweets, decorated with a 6 sided star with a swastika at its center.

And amusing to see this, on Humayoon's Tomb; a Moghul emperor.