[little jeremiah]

Actually the Greeks were using Indian styles, the commerce and visits went both ways, but the Indian civilization pre-dated the Greek by far. The decoration used by Greeks:

was derived from the swastika, commonly used in India for millenia as a symbol of auspiciousness, among other uses.

[Trumpinator]

The Greek key was not taken from the Indians by the Greeks and the so called swastika is a widely diffused symbol found even amongst isolated Native American tribes. So unless you have a scholarly article I will ignore your statement other than to correct it.