Fringepod, Fringe Pod, Fringed Pod, Sand Fringepod, Hairy Lacepod: Thysanocarpus curvipes (Synonyms: Thysanocarpus amplectens, Thysanocarpus curvipes var. elegans, Thysanocarpus curvipes var. eradiatus, Thysanocarpus curvipes var. longistylus, Thysanocarpus elegans, Thysanocarpus foliosus)
Common Fringe Pod: Thysanocarpus curvipes ssp. amplectens (Synonyms: Thysanocarpus amplectens, Thysanocarpus curvipes)
Fringe Pod: Thysanocrpus curvipes ssp. curvipes (Synonyms: Thysanocarpus curvipes, Thysanocarpus curvipes var. curvipes)
Fringe Pod: Thysanocarpus curvipes ssp. elegans (Synonyms: Thysanocarpus curvipes, Thysanocarpus elegans)
Fringe Pod: Thysanocarpus curvipes ssp. eradiatus (Synonyms: Thysanocarpus curvipes, Thysanocarpus curvipes var. eradiatus)
Fringe Pod: Thysanocarpus curvipes ssp. longistylus (Synonyms: Thysanocarpus curvipes, var. longistylus)
Narrow-leaved Lacepod: Thysanocarpus desertorum (Synonym: Thysanocarpus laciniatus var. hitchcockii)
Common Lace Pod, Mountain Fringepod, Narrow-leaved Fringe Pod, Narrow-leaved Lacepod: Thysanocarpus laciniatus (Synonyms: Thysanocarpus laciniatus ssp. desertorum, Thysanocarpus laciniatus var. crenatus, Thysanocarpus laciniatus var. emarginatus, Thysanocarpus laciniatus var. hitchcockii, Thysanocarpus laciniatus var. laciniatus, Thysanocarpus laciniatus var. ramosus, Thysanocarpus laciniatus var. rigidus)
Fringe Pod, Ribbed Fringepod, Showy Fringe Pod: Thysanocarpus radians (Synonym: Thysanocarpus radians vr. montanus)
Rigid Fringepod: Thysanocarpus rigidus (Synonym: Thysanocarpus laciniatus var. rigidus)