Eastern hemisphere: Good Luck, Blessing, Labha in Sanskrit I think
Svastika is a Sanskrit word, meaning "being fortunate," although it's hard to translate out of context in precise grammar. It's rooted in the word
svasti, which means prosperity, well-being, luck, etc.
Some say the symbol is nothing more than the letters that comprise the individual words
su and
asti in a particular Indian alphabet. As a Buddhist symbol it has been incorporated into the Chinese character set, and pronounced
wan.
It occurs in many cultures, including Celtic, Hopi and Navajo, and it was used as the flag of a tribe that rebelled against the government of Panama. After being discovered in Ancient Greek ruins it achieved modest popularity in the West in the late 19th century; it was originally called by its Greek name, the
gammadion, but the Sanskrit word
svasktika/suasktika replaced it in English in 1871.
By 1920 it had become a worldwide symbol of good luck, and can be found on European monuments and buildings from that era--although it will be hard to find a European who will show you where they are. The Nazi party adopted it in that year, because of their fanciful notion that the Germans were direct descendants of the Aryans. Because of this, by the mid-1930s it had fallen into disrepute in the West outside of Germany, but not in other cultures.