Rapicactus booleanus (G.S. Hinton) D. Donati, Revis. Tasson. Gen. Turbinicarpus: 6. 2003 sec. Lodé 2018
- ≡Turbinicarpus booleanus G.S. Hinton in Phytologia 80: 62. 1996 syn. sec. Donati & Zanovello 2004
- =Turbinicarpus mandragora subsp. booleanus (G.S. Hinton) Lüthy in Kakteen And. Sukk. 50: 279. 1999 syn. sec. Donati & Zanovello 2004
- =Neolloydia booleana (G.S. Hinton) Doweld in Cactaceae Syst. Init. 9: 19. 2000 syn. sec. Zachar 2004
- =Rapicactus subterraneus subsp. booleanus (G.S. Hinton) Lüthy in Cactus & Co. 7: 38. 2003 syn. sec. Donati & Zanovello 2004
- =Turbinicarpus subterraneus subsp. booleanus (G.S. Hinton) Zachar, Gen. Turbinicarpus: 107. 2004 syn. sec. Zachar 2004