The Persian Carpet Flower is an unusual looking succulent that has sharp, gnarled branches. The desert roses will flower more quickly if they are in full sunlight at this stage. Euphorbia susannae thrives in partial to full sun. Like many other Euphorbia, Euphorbia susannae produces a milky white sap when cut or damaged. They produce large, yellow or white flowers when they are in bloom. Each cactus is covered with soft, white spines that look like down feathers.