Aeoniums are fleshy leaved succulents that grow in a pronounced rosette shape. Growing aeoniums is easy in areas with few freezes. They can also grow indoors, in a sunny window where temperatures are toasty warm. Learn how to grow an aeonium plant for unique texture and form in both indoor and outdoor garden displays. What Are Aeoniums? Succulent plants have a special adaptive survival strategy for hot, dry locations. They come in a wide range of colors, textures and sizes. These plants also have the fleshy leaved characteristic of succulents, where they store moisture. Unlike many other succulents, however, aeoniums have shallow root systems and cannot be allowed to dry out completely. Only the top few inches (5 to 10 cm.) of soil should be allowed to dry out when growing aeoniums. There are over 35 aeonium species, in a graduating range of sizes.