Variegated Liriope. This is probably the most popular groundcover for the Deep South. It would be fascinating to know the origin of this cultivar. My guess is that it originally came from Japan where this species is native. The cream-white variegation is most outstanding, particularly in shade, especially when the purple flower spikes start emerging in early summer. The effect can be far better when planted en masse rather than used as little ribbons bordering every bed in the garden. That does tend to become rather tiring. Grow in sun or shade. It does equally well in each environment. One can get a number of divisions from each container.
Zones 6-10
