You'll likely see both referred to as cowls, but a true infinity scarf is typically double the circumference of a cowl. - A standard size cowl is most commonly 30" around, whereas an infinity scarf is typically 60" around. They are usually both the same height. - A cowl slips over the head and worn like a tube around the neck, but an infinity scarf can be worn long or wrapped in a figure eight (or infinity symbol) around the neck. - You can see examples of both styles in my Diamonds Cowl & Infinity Scarf Pattern.