The twill weave is characterized by an over two, under two pattern. It leaves behind a distinctly diagonal design and is typically wrinkle-resistant due to the thickness. Twill woven sheets are prone to shrink more than those with a sateen weave but are also often times more affordable. 

Hand towel:

Blanket Cover
A blanket cover is a very lightweight decorative covering that is layered over a blanket, almost like a decorative top sheet. A blanket cover is often used on hotel beds as the outermost layer over a blanket, protecting the blanket so it won’t need frequent laundering. The fitted sheet, flat sheet, and blanket cover can be pulled off the bed and washed in a single load. Blanket covers are usually poly/cotton blends, requiring very little attentions; no ironing necessary.