My brand's name is Mill Body (to build your body).
I think we can play with the mill more than the body.
Mill has the "m" - downcase has amazing curves, for instance.
windmill paper has a lot of references. It's a mill, has movement, can has colors. Show me a symbol with only one color: symbol purple and name black, for instance. I'll build a identity that will change the color of the symbol.
Looks on google "windmill logo"
I like these symbol **style**:
http://fc08.deviantart.net/fs70/f/2010/181/7/f/Mill_Logo_by_4Roy.pnghttp://www.logomoose.com/wp-content/uploads/2013/04/jpg42.jpghttp://www.brandcrowd.com/gallery/brands/pictures/picture12621170199067.jpghttp://stocklogos.com/sites/default/files/styles/logo-medium-alt/public/windmill_3-01.png?itok=_qIbXQl3Why? Are simple, but sophisticated. It's not so obvious.