Agave Potatorum Tradewinds plants are best known as succulent plants with large leaves that end in spiny tips. At first glance, you probably wouldn’t call agave plants rosettes, although they are. So many of the common ones are spiny succulents, with leaves that jut out in often dangerous spikes. There is a lot of variety in the agave genus. There are the large, stiff specimens that can grow to 20 feet in diameter. There are also small dish-sized agaves, and agave plants with soft leaves and no spines, although most do have leaves that end in a sharp point.