Tie a scarf & name the type

I want to get a scarf to wear w/ a V neck sweater and some for just wearing. Silk probably. I saw a scarf on line that looked similar to a man's un tied bow tie: thin around the neck and broader towards the ends. is there a name for this type? 2nd question: rectangle or square? and how to tie?

Are scarves back in? They were real popular when I started working retail in the late 80's. We had classes and everything on how to tie all sorts of scarves.
This shows instructions on all different types....
http://www.apparelsearch.com/scarve_knots.htm