is wool wool

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But in general, while all are hair, fur is usually defined as short, very thick hairs covering the entire body. Humans have sparse, less thick or dense "hair" while dogs have full body, thick "Fur.

Another aspect of fur is that it is shed at least once a year. Dogs with hair, like poodles, need to be groomed because they don't shed. Dogs with fur, like a German Shepherd, for example, shed their fur all over the house.