I have seen the swastika with my minds eye. It's more dynamic than the simple version used as a symbol ( it rotates like a catherine wheel, and is like fire of various colors.). It is one of those archetypal thingies which no-one can explain.
edit : That made me remember something. I was once sitting by a lake, near overhanging trees. I was looking at the reflections of branches on the surface of the water, and right there was a beautifully formed pentangle, rippling gently.
As I gazed at it in appreciation, a flock of wild ducks flew overhead, and bombed me with crap, quacking and honking. It was very funny, and left me with a pleasant glow.
Now I am remembering other classic symbols which have appeared spontaneously at different times, both in my mind's eye, and 'externally'. I can think of quite a few. So basically, I don't think we can say a swastika or whatever means this or that as if there is a 'real' meaning that you could find in a book.