Synonyms: Dichromena polyphylla (homotypic); Haloschoenus rigidus (homotypic); Mitrospora polyphylla (homotypic); Mitrospora wageneriana; Rhynchospora adulta; Rhynchospora costaricensis; Rhynchospora ferruginea (heterotypic); Rhynchospora paniculata (heterotypic); Rhynchospora polycephala (heterotypic); Rhynchospora polyphylla var. brunnescens; Rhynchospora polyphylla var. contracta; Rhynchospora polyphylla var. longispiculosa; Rhynchospora pyramidata; Rhynchospora rigida (heterotypic); Rhynchospora wageneriana; Schoenus polyphyllus (homotypic)