Synonyms: Cactus acanthostephes; Cactus latimamma; Cactus pycnacanthus (homotypic); Cactus scepontocentrus; Cactus winkleri; Coryphantha acanthostephes; Coryphantha andreae; Coryphantha conimamma; Coryphantha connivens; Coryphantha pycnacantha sniceri; Echinocactus acanthostephes; Echinocactus pycnacanthus; Echinocactus radiatus (homotypic); Echinocactus winkleri; Escobaria sniceri; Mammillaria acanthostephes; Mammillaria andreae; Mammillaria conimamma; Mammillaria latimamma; Mammillaria latimamma var. spinosior (homotypic); Mammillaria pycnacantha (homotypic); Mammillaria scepontocentra; Mammillaria winkleri