This feathery beauty, photographed at the Desert Botanical Garden in Phoenix, is commonly known as a Fairy Duster. Fairy dusters belong to the Calliandra genus, and this particular species is C. eriophylla, also known as False Mesquite.There are two other types of fairy dusters that have red blooms.
The plant's delicate looks belie its hardiness. It is especially suited for the desert because it thrives on heat and is quite resistant to drought. It blooms year-round in some areas, but is most commonly seen in the spring in the Phoenix area.
You can learn more about the Desert Botanical Garden here. It's a living encyclopedia of desert plants and well-worth a visit (but not in the summer!) You can find out more about fairy dusters here and here. You can buy Fairy Duster seeds from Amazon.
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