Flatweave Eco Cotton Rugs Meet Our Innovative, Eco-Friendly Cotton. First, we craft spools of colored yarns from recovered textile fibers. Then we hand-weave our rugs on wooden looms from this new yarn, all with NO dyes, chemicals, or latex. The result: delightful, durable rugs that last for years without bleeding or fading in the washer. They’re soft on your feet and spectacular on your floor.