Strombocactus disciformis (DC.) Britton & Rose subsp. disciformis, Cactaceae (Britton & Rose) 3: 106. 1922 sec. Hunt 2016
- =Echinocactus turbiniformis Pfeiff. in Allg. Gartenzeitung 6: 275. 1838 syn. sec. Guzmán & al. 2003
- =Echinocactus disciformis (DC.) K. Schum., Nat. Pflanzenfam. [Engler & Prantl] 3(6a): 189. 1894 syn. sec. Guzmán & al. 2003
- =Strombocactus turbiniformis (Pfeiff.) Fric in Ceskoslov. Zahradn. Listy 1924: 122, 142. 1924 syn. sec. Guzmán & al. 2003
- =Strombocactus turbiniformis var. seidelii Fric in Ceskoslov. Zahradn. Listy 1924: 146. 1924 syn. sec. Guzmán & al. 2003
- =Ariocarpus disciformis (DC.) W.T. Marshall in Cact. Succ. J. (Los Angeles) 18: 56. 1946 syn. sec. Guzmán & al. 2003
- =Strombocactus disciformis var. seidelii (Fric) Crkal, Lovec Kaktusu: 401. 1983 syn. sec. Guzmán & al. 2003
- =Strombocactus jarmilae Halda in Cactaceae etc. 6: 83. 1996 syn. sec. Guzmán & al. 2003
- =Strombocactus disciformis f. minimus Don Pedro & Ríha in Kaktusy (Brno) 33: 84. 1997 syn. sec. Guzmán & al. 2003
- =Strombocactus disciformis subsp. jarmilae (Halda) Halda in Acta Mus. Richnov., Sect. Nat., 4: 71. 1997 syn. sec. Guzmán & al. 2003
- =Ariocarpus disciformis subsp. jarmilae (Halda) Halda in Acta Mus. Richnov., Sect. Nat., 5: 37. 1998 syn. sec. Guzmán & al. 2003
- =Pediocactus disciformis (DC.) Halda in Acta Mus. Richnov., Sect. Nat., 5: 186. 1998 syn. sec. Guzmán & al. 2003
- =Pediocactus jarmilae (Halda) Halda in Acta Mus. Richnov., Sect. Nat., 5: 186. 1998 syn. sec. Guzmán & al. 2003