Twill - because skew can be quite trendy
Twill bindings are a tough choice: they look chic and are also robust. They are among the most important basic weave types for woven fabrics. You can recognize them quite easily by the sloping burr and the wonderfully smooth surface. Compared to the plain weave, the twill weave is looser and can trap more air. This allows your favourite twill piece to warm you better than other fabrics.
By the way, the name goes back to a Low German term for rafters or cross beams - a donkey bridge that helps you to recognize a Twill as such.