This fascinating succulent, botanically known as Haworthia Fasciata is part of the Asphodeloideae family, with Haworthia being the Genus. Two other plants (that are not succulents) are also referred to as Zebra plants. Every Zebra plant that is healthy will produce offsets. Your plant may look a bit odd if new offsets form in its center. Haworthia fasciata can live for a lifetime and is a slow-growing succulent. Haworthia Fasciata, or the Zebra Plant, is a South African native.