Inallreferencestothefruitofthisspeciesitisdescribedas\"ovalandgreen，\"exceptinIvesReport，whereDr。EngelmanndescribesitsrealcharacterastheordinaryfruitofEumamillaria。Theimmaturefruitis\"ovalandgreen，\"butwithmaturityitbecomesclavateandscarlet。TheUtahspecimensofParryshowanexceptionalcharacterintheir30to33scabrousradialspines，butotherwisetheyarequitenormal。M。
microcarpaEngelm。，Emory’sRep。156。f。3，shouldbedroppedasasynonymofthisspecies，atleastastofigureanddescription。
InallprobabilityC。grahamiisoneoftheformsoftheMexicanC。schelhasii（Pfeiff。）。ExceptthatinC。grahamitheradialspinesareapttobemorenumerousandlonger，andthecentralsmuchdarker；andinC。schelhasiithe3centralsseemtobealwayspresentandsometimesallhooked，thedescriptionssuggestnodifference。Intheabsenceofauthenticspecimensofthelatterspecies，however，andwithitsfruitandseedentirelyunknown，suchareferenceofC。grahamimustbedeferred。
20。Cactusbocasanus（Poselger）。
MamillariabocasanaPoselger，Gart。Zeit。94（1853）。