Myrtillocactus geometrizans (Mart. ex Pfeiff.) Console in Boll. Reale Orto Bot. Palermo 1: 10. 1897 sec. Hunt 2016
- ≡Cereus geometrizans Mart. ex Pfeiff., Enum. Diagn. Cact.: 90. 1837 syn. sec. Guzmán & al. 2003
- =Cereus pugioniferus Lem., Cact. aliq. nov.: 30. 1838 syn. sec. Guzmán & al. 2003
- =Myrtillocactus grandiareolatus Bravo in Anales Inst. Biol. Univ. Nac. México 3: 16. 1932 syn. sec. Guzmán & al. 2003
- =Myrtillocactus geometrizans var. grandiareolatus (Bravo) Backeb., Cactaceae (Backeberg) 4: 3267. 1960 syn. sec. Guzmán & al. 2003
- =Myrtillocactus geometrizans f. hintonii W.A. Fitz Maur. in Cact. Suc. Mex. 34: 89. 1989 syn. sec. Guzmán & al. 2003
- =Myrtillocactus geometrizans f. cristatus P.V. Heath in Calyx 2: 105. 1992 syn. sec. ???