Rather, its the "icy" look of its foliage that earns it its name. An optical illusion is caused by the way light bounces off the tiny hairs on the surface of the ice plant's leaves, mimicking the appearance of ice crystals. There are a number of different types of ice plant. The ice plant in this picture is a type known as Delosperma cooperi.
If I had to choose between the succulents I've covered so far in terms of recommending the one that best combines beautiful flowers with attractive foliage, my selection would be ice plant.