| Mammillaria ramosissima |
Quehl |
in Monatsschr. Kakteenk. 18: 127. 1908. |
| Mammillaria hirschtiana |
F.Haage |
in Monatsschr. Kakteenk. 6: 127. 1896. |
| Neomammillaria radiosa |
(Engelm.) Rydb. |
in Fl. Plains N. Amer.: 562. 1932. |
| Cactus neomexicanus |
(Engelm.) Small |
Fl. S.E. U.S.: 812. 1903. |
| Cactus radiosus |
J.M.Coult. |
in Contr. U.S. Natl. Herb. 3: 120. 1894. |
| Cactus radiosus var. neomexicanus |
(Engelm.) J.M.Coult. |
in Contr. U.S. Natl. Herb. 3: 120. 1894. |
| Cactus viviparus |
Nutt. |
Cat. Pl. Upper Louisiana: no. 22. 1813. |
| Coryphantha aggregata |
(Engelm.) Britton & Rose |
Cactaceae 4: 47. 1923. |
| Coryphantha alversonii var. exaltissima |
Wiegand & Backeb. |
in: Backeberg, C., Cactaceae 5: 3001. 1961. |
| Coryphantha arizonica |
(Engelm.) Britton & Rose |
Cactaceae 4: 45. 1923. |
| Coryphantha bisbeeana |
Orcutt |
in Cactography 3: . 1926. |
| Coryphantha chlorantha var. deserti |
(Engelm.) Backeb. |
Cactaceae 5: 3003. 1961. |
| Coryphantha columnaris |
Lahman |
in Cact. Succ. J. (Los Angeles) 6: 27. 1934. |
| Coryphantha deserti |
(Engelm.) Britton & Rose |
Cactaceae 4: 46. 1923. |
| Coryphantha fragrans |
Hester |
Desert Pl. Life 13: 152. 1941. |
| Coryphantha neomexicana |
(Engelm.) Britton & Rose |
Cactaceae 4: 45. 1923. |
| Coryphantha oklahomensis |
Lahman |
in Cact. Succ. J. (Los Angeles) 21: 165. 1949. |
| Coryphantha radiosa |
(Engelm.) Rydb. |
Fl. Rocky Mts.: 581. 1917. |
| Coryphantha rosea |
Clokey |
in Madroño 7: 75. 1943. |
| Coryphantha vivipara |
(Nutt.) Britton & Rose |
Ill. Fl. N. U.S.: 571. 1913. |
| Coryphantha vivipara var. aggregata |
(Engelm.) W.T.Marshall |
in Desert. Bot. Gard. Arizona, Sci. Bull. 1: 93. 1950. |
| Coryphantha vivipara var. arizonica |
(Engelm.) W.T.Marshall |
in Desert. Bot. Gard. Arizona, Sci. Bull. 1: 94. 1950. |
| Coryphantha vivipara var. bisbeeana |
(Orcutt) L.D.Benson |
Cacti Ariz.: 25. 1969. |
| Coryphantha vivipara var. buoflama |
P.C.Fisch. |
in Cact. Succ. J. (Los Angeles) 52: 28. 1980. |
| Coryphantha vivipara var. deserti |
(Engelm.) W.T.Marshall |
in Desert. Bot. Gard. Arizona, Sci. Bull. 1: 94. 1950. |
| Coryphantha vivipara var. kaibabensis |
P.C.Fisch. |
in Cact. Succ. J. (Los Angeles) 51: 287. 1979. |
| Coryphantha vivipara var. neomexicana |
(Engelm.) Backeb. |
Cactaceae 5: 2999. 1961. |
| Coryphantha vivipara var. radiosa |
(Engelm.) Backeb. |
Cactaceae 5: 2998. 1961. |
| Coryphantha vivipara var. rosea |
(Clokey) L.D.Benson |
Cacti Ariz.: 26. 1969. |
| Coryphantha vivipara f. sonorensis |
P.C.Fisch. |
in Cact. Succ. J. (Los Angeles) 52: 191. 1980. |
| Echinocactus radiosus |
Poselg. |
in Allg. Gartenzeitung 21: 107. 1853. |
| Echinocactus viviparus |
Poselg. |
in Allg. Gartenzeitung 21: 107. 1853. |
| Escobaria aggregata |
(Engelm.) Buxb. |
in Oesterr. Bot. Z. 98: 78. 1951. |
| Escobaria arizonica |
(Engelm.) Buxb. |
in Oesterr. Bot. Z. 98: 78. 1951. |
| Escobaria bisbeeana |
(Orcutt) Borg |
Cacti: 305. 1937. |
| Escobaria deserti |
(Engelm.) Buxb. |
in Oesterr. Bot. Z. 98: 78. 1951. |
| Escobaria neomexicana |
(Engelm.) Buxb. |
in Oesterr. Bot. Z. 98: 78. 1951. |
| Escobaria oklahomensis |
(Lahman) Buxb. |
in Oesterr. Bot. Z. 98: 78. 1951. |
| Escobaria vivipara |
(Nutt.) Buxb. |
in Oesterr. Bot. Z. 98: 78. 1951. |
| Escobaria vivipara var. arizonica |
(Engelm.) D.R.Hunt |
in Cact. Succ. J. Gr. Brit. 40: 13. 1978. |
| Escobaria vivipara var. bisbeeana |
(Orcutt) D.R.Hunt |
in Cact. Succ. J. Gr. Brit. 40: 13. 1978. |
| Escobaria vivipara var. buoflama |
(P.C.Fisch.) N.P.Taylor |
in Kakteen And. Sukk. 34: 140. 1983. |
| Escobaria vivipara var. deserti |
(Engelm.) D.R.Hunt |
in Cact. Succ. J. Gr. Brit. 40: 13. 1978. |
| Escobaria vivipara var. kaibabensis |
(P.C.Fisch.) N.P.Taylor |
in Kakteen And. Sukk. 34: 139. 1983. |
| Escobaria vivipara var. neomexicana |
(Engelm.) Buxb. |
in: Krainz, Kakteen 50-51: CVIIIc. 1972. |
| Escobaria vivipara var. radiosa |
(Engelm.) D.R.Hunt |
in Cact. Succ. J. Gr. Brit. 40: 13. 1978. |
| Escobaria vivipara var. rosea |
(Clokey) D.R.Hunt |
in Cact. Succ. J. Gr. Brit. 40: 13. 1978. |
| Mammillaria radiosa var. arizonica |
(Engelm.) K.Schum. |
Gesamtbeschr. Kakt.: 481. 1898. |
| Mammillaria radiosa var. deserti |
(Engelm.) K.Schum. |
Gesamtbeschr. Kakt.: 481. 1898. |
| Mammillaria neomexicana |
A.Nelson |
New Man. Bot. Centr. Rocky Mt.: 327. 1909. |
| Mammillaria radiosa |
Engelm. |
in Boston J. Nat. Hist. 6(2): 196–197. 1850. |
| Mammillaria deserti |
Engelm. |
Bot. California 2: 449. 1880. |
| Mammillaria arizonica |
Engelm. |
Bot. California 1: 244. 1876. |
| Mammillaria vivipara |
(Nutt.) Haw. |
Suppl. Pl. Succ.: 72. 1819. |
| Mammillaria vivipara var. radiosa |
Engelm. |
in Proc. Amer. Acad. Arts 3: 269. 1856. |
| Mammillaria radiosa var. vivipara |
(Nutt.) Schelle |
Handb. Kakteenkult.: 236. 1907. |
| Mammillaria vivipara subsp. radiosa |
Engelm. |
Rep. U.S. Mex. Bound. Cact.: 15. 1858. |
| Cactus radiosus var. arizonicus |
(Engelm.) J.M.Coult. |
in Contr. U.S. Natl. Herb. 3: 121. 1894. |
| Cactus radiosus var. deserti |
(Engelm.) J.M.Coult. |
in Contr. U.S. Natl. Herb. 3: 121. 1894. |
| Mammillaria aggregata |
Engelm. |
Emory, Mil. Reconn.: 157. 1848. |
| Mammillaria radiosa f. arizonica |
(Engelm.) Schelle |
Handb. Kakteenkult.: 235. 1907. |
| Mammillaria radiosa f. deserti |
(Engelm.) Schelle |
Handb. Kakteenkult.: 236. 1907. |
| Mammillaria radiosa var. texensis |
Schelle |
Handb. Kakteenkult.: 236. 1907. |
| Mammillaria vivipara subvar. neomexicana |
Engelm. |
in Proc. Amer. Acad. Arts 3: 269. 1856. |
| Mammillaria vivipara var. aggregata |
(Engelm.) L.D.Benson |
in Proc. Calif. Acad. Sci., ser. 4, 25: 262. 1944. |
| Mammillaria vivipara var. arizonica |
(Engelm.) L.D.Benson |
in Proc. Calif. Acad. Sci., ser. 4, 25: 263. 1944. |
| Mammillaria vivipara var. deserti |
(Engelm.) L.D.Benson |
in Proc. Calif. Acad. Sci., ser. 4, 25: 263. 1944. |
| Mammillaria vivipara var. vera |
Engelm. |
in Proc. Amer. Acad. Arts 3: 269. 1856. |
| Escobaria radiosa |
(Engelm.) G.Frank |
|
| Coryphantha neovivipara |
Y.Itô |
Cactaceae: 556. 1981. |
| Coryphantha neovivipara var. aggregata |
(Engelm.) Y.Itô |
Cactaceae: 556. 1981. |
| Coryphantha neovivipara var. arizonica |
(Engelm.) Y.Itô |
Cactaceae: 556. 1981. |
| Coryphantha neovivipara var. neomexicana |
(Engelm.) Y.Itô |
Cactaceae: 556. 1981. |
| Coryphantha neovivipara var. radiosa |
(Engelm.) Y.Itô |
Cactaceae: 556. 1981. |
| Mammillaria aggregata |
Engelm. ex S.Watson |
in Smithsonian Misc. Collect. 15: 398. 1878. |