Alyssum is popular because of its lightly fragrant and lacy white bloom that lasts through most of the year. It seems to be more perennial than it actually is because it sows seed to replace aging plants. Candytuft, Iberis sempervirens, is a bit less prolific with bloom and fragrance, but otherwise resembles alyssum. Without seeding, it can be nicely perennial.
Candytuft does not get much larger than alyssum although it supposedly has potential to get almost a foot high and a foot and a half wide. Shearing after bloom phases enhances foliar density and subsequent bloom. Primary bloom occurs during late winter, spring, or perhaps early summer. Minor random bloom is possible at any time, particularly autumn.
Plants propagate readily by division of small tufts of rooted stems from within established plants. Alternatively, creeping outer stems develop roots if simply pressed into the soil or held down with stones. Pruning scraps are tiny and awkward to handle, but can grow as cuttings. When disturbed, candytuft exudes an aroma similar to that of related cabbages, which might be objectionable to some.