SCHEIDWEILER (1838) erected the genus Ariocarpus for A. retusus. The generic name has precedence over Anhalonium (LEMAIRE 1839), which had five species including what is now Lophophora williamsii.
LEMAIRE (1842) published Ariocarpus kotschoubeyanus as Anhalonium kotschoubeyanum
ENGELMANN (1856) published Ariocarpus fissuratus as Mammillaria fissurata.
HEMSLEY (1880) reduced Anhalonium to Mammillaria
WEBER (1893) published Ariocarpus trigonus as Anhalonium trigonum
COULTER (1894) resurrected the name Anhalonium.
BERGER (1925) erected the genus Roseocactus for A. kotschoubeyanus, A. fissuratus and A. lloydii which he split as a separate species from A. fissuratus after ROSE (1911).
BÖDEKER (1930) described A. scapharostrus.
BORG (1939 & 1945) did not recognize Roseocactus and included seven species, A. retusus, A. furfuraceus, A. kotschoubeyanus, A. fissuratus, A. lloydii, A. scapharostrus, and A. trigonus which had earlier been split from A. retusus by WEBER (1893) and SCHUMANN (1898).
CASTAÑEDA (1941) described Neogomesia agavoides.
MARSHALL (1946) reduced Roseocactus to a subgenus of Ariocarpus.
ANDERSON (1960, 1962 & 1965) recognized six species, reduced A. lloydii to a variety of A. fissuratus, sunk A. furfuraceus in A. retusus, transferred Neogomesia agavoides (CASTAÑEDA 1941) as A. agavoides (1962) and maintained Roseocactus as a separate subgenus of Ariocarpus.
BACKEBERG (1965 & 1966) maintained both Roseocactus and Neogomesia as separate genera.
ANDERSON & FITZ MAURICE (1997) in Haseltonia vol 5 abandoned Roseocactus as a subgenus and reduced A. f. var. lloydii to a synonym of A. fissuratus. They recognized six species, transferred A. f. var hintonii to a subspecies of A. bravoanus, reduced A. trigonus to a subspecies of A. retusus. They also adopted the spelling of A. scapharostrus as A.scaphirostris as recommended by HUNT (1991).
HALDA (1998) described A. trigonus var horacekii
HALDA (1998) published his revision of the genus, 'A New System of the genus Ariocarpus Scheidweiler' in Acta Musei Richnoviensis 5(1) 1998
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