Turbinicarpus schwarzii (Shurly) Backeb.
Turbinicarpus schmiedickeanus var. schwarzii (Shurly) Glass & R.A.Foster
Turbinicarpus polaskii Backeb.
Toumeya macrochele f. polaskii (Backeb.) Kladiwa
Turbinicarpus macrochele subsp. schwarzii (Shurly) Doweld
Toumeya macrochele var. schwarzii (Shurly) Kladiwa
Toumeya schwarzii var. polaskii (Backeb.) Kladiwa
Strombocactus schwarzii Shurly
Turbinicarpus schmiedickeanus f. schwarzii (Shurly) Panar.
Pediocactus schmiedickeanus var. schwarzii (Shurly) Halda
Toumeya schwarzii (Shurly) Bravo & W.T.Marshall
Turbinicarpus schmiedickeanus var. polaskii (Backeb.) Zachar, Staník, Lux & Dráb
Turbinicarpus macrochele var. polaskii P.Lechner & Jantschgi
Turbinicarpus klinkerianus subsp. schwarzii (Shurly) D.Donati
Neolloydia schmiedickeana var. schwarzii (Shurly) E.F.Anderson
Turbinicarpus macrochele subsp. polaskii (P.Lechner & Jantschgi) D.Donati