"A headband is a clothing accessory worn in the hair or around the forehead, usually to hold hair away from the face or eyes. Headbands generally ...
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consist of a loop of elastic material or a horseshoe-shaped piece of flexible plastic or metal. They come in assorted shapes and sizes and are used for both fashion and practical or utilitarian purposes.
In the UK, horseshoe-shaped headbands are sometimes called "Alice bands" after the headbands that Alice is often depicted wearing in Through the Looking-Glass." - (en.wikipedia.org 16.07.2022)