Mammillaria polyedra Mart. in Nov. Actorum Acad. Caes. Leop.-Carol. German. Nat. Cur. 16(1): 326, pl. 18. 1832 sec. Hunt 2016
- ≡Cactus polyedrus (Mart.) Kuntze, Revis. Gen. Pl. 1: 261. 1891 syn. sec. Hunt 2016
- ≡Neomammillaria polyedra (Mart.) Britton & Rose, Cactaceae 4: 102–103, f. 101, f. 5. 1923 syn. sec. Korotkova 2021
- =Mammillaria obconella var. galeottii Scheidw., Hort. Belge 4: 93. 1837 syn. sec. Kew WCVP (2019)
- =Mammillaria crocidata Lem., Cact. Aliq. Nov.: 9. 1838 syn. sec. TROPICOS 1988+
- ≡Cactus crocidatus (Lem.) Kuntze, Revis. Gen. Pl. 1: 260. 1891 syn. sec. Hunt 2016
- ≡Neomammillaria crocidata (Lem.) Britton & Rose, Cactaceae 4: 87. 1923 syn. sec. Kew WCVP (2019)
- =Mammillaria polytricha Salm-Dyck in Allg. Gartenzeitung 10: 289. 1842 syn. sec. TROPICOS 1988+
- ≡Cactus polytrichus (Salm-Dyck) Kuntze, Revis. Gen. Pl. 1: 261. 1891 syn. sec. Kew WCVP (2019)
- =Mammillaria polytricha var. hexacantha Salm-Dyck in Allg. Gartenzeitung 10: 289. 1842 syn. sec. Kew WCVP (2019)
- ≡Mammillaria polythele var. hexacantha (Salm-Dyck) Salm-Dyck, Cact. Hort. Dyck., ed. 1849: 15. 1850 syn. sec. Kew WCVP (2019)
- =Mammillaria polytricha var. tetracantha Salm-Dyck in Allg. Gartenzeitung 10: 290. 1842 syn. sec. Kew WCVP (2019)
- =Mammillaria polythele var. columnaris (Mart.) Salm-Dyck ex Walp., Repert. Bot. Syst. 2: 271. 1843 syn. sec. Kew WCVP (2019)
- =Mammillaria anisacantha Salm-Dyck, Cact. Hort. Dyck., ed. 1844: 11. 1845 syn. sec. Kew WCVP (2019)
- =Mammillaria dolichocentra var. galeottii Salm-Dyck ex C.F.Först., Handb. Cacteenk.: 213. 1846 syn. sec. Kew WCVP (2019)
- =Mammillaria ovimamma var. brevispina Salm-Dyck, Cact. Hort. Dyck., ed. 1849: 108. 1850 syn. sec. Kew WCVP (2019)
- =Mammillaria polyedra var. laevior Salm-Dyck, Cact. Hort. Dyck., ed. 1849: 17. 1850 syn. sec. Kew WCVP (2019)
- =Mammillaria polygona Salm-Dyck, Cact. Hort. Dyck., ed. 1849: 120. 1850 syn. sec. TROPICOS 1988+
- ≡Cactus polygonus (Salm-Dyck) Kuntze, Revis. Gen. Pl. 1: 261. 1891 syn. sec. Kew WCVP (2019)
- ≡Neomammillaria polygona (Salm-Dyck) Britton & Rose, Cactaceae 4: 101–102. 1923 syn. sec. TROPICOS 1988+
- =Mammillaria polythele var. latimamma Salm-Dyck, Cact. Hort. Dyck., ed. 1849: 112. 1850 syn. sec. Kew WCVP (2019)
- =Mammillaria rhodocentra var. gracilispina Salm-Dyck, Cact. Hort. Dyck., ed. 1849: 14. 1850 syn. sec. Kew WCVP (2019)
- =Mammillaria polytricha var. laevior Salm-Dyck ex Labour., Monogr. Cact.: 105. 1853 syn. sec. Kew WCVP (2019)
- =Mammillaria polytricha var. scleracantha Labour., Monogr. Cact.: 105. 1853 syn. sec. Kew WCVP (2019)
- =Mammillaria rhodeocentra var. gracillima Scheer in Bot. Voy. Herald: 288. 1856 syn. sec. Kew WCVP (2019)
- =Mammillaria webbiana var. longispina Jacobi in Allg. Gartenzeitung 24: 83. 1856 syn. sec. Kew WCVP (2019)
- =Cactus hexasanthus (Salm-Dyck) Kuntze, Revis. Gen. Pl. 1: 260. 1891 syn. sec. Kew WCVP (2019)
- =Cactus rosea (Van Houtte) Kuntze, Revis. Gen. Pl. 1: 261. 1891 syn. sec. Kew WCVP (2019)
- =Mammillaria polythele var. affinis Schelle, Handb. Kakteenkult.: 260. 1907 syn. sec. Kew WCVP (2019)
- =Mammillaria kewensis var. craigiana F.Schmoll ex R.T.Craig, Mammill. Handb.: 137. 1945 syn. sec. Kew WCVP (2019)
