It's the reason why we really like this rug collection from Surya. It's full of all the things stated above.
Here are some of our favorites:
The rugs are really inexpensive. They run about $400 (for a 4 x6) to $1100 (for a 8 x 10). They are machine-made with wool/vicose. Purchasing information can be found on our modern rugs section. If you like to see more of Surya's products (they also make fantastic pillows and throws), visit their web site.