Stolons and roots of Liriope and Ophiopogon.  Representative views.
1. Above. Liriope gigantea (see species photo 5).  No stolons. Plants of the type collection and some others produce long stolons (see text).    
3. Above.  Liriope muscari (see species photo I - 5, from Fort Worth, Texas).  Short stolons, weakly colonial but spreading only slightly.  This species typically and characteristically is caespitose, lacking stolons, but from this observation and other similar ones, some cultivars may be weakly colonial (see text).  Good for borders but not becoming as dense as in #2. 
4. Liriope spicata (see species photos 3a-g).  Long stolons sometimes reaching 22 cm in length, strongly colonial. 
2. Above.  Liriope muscari (see species photos II - 2a and 2b, from Natchitoches, La.).  Short stolons (or rhizomes) in a caespitose form, becoming dense and spreading very little, excellent for borders. 
5.  Ophiopogon japonicus "Silver Mist."  Purchased from Tidwell Nurseries (Georgia), October 2010.  Producing short stolons and becoming colonial.  Note single immature fruit on very short scape.