types:
Ariocarpus fissuratus,
living rock
usually unbranched usually spineless cactus covered with warty tubercles and having magenta flowers and white or green fruit; resembles the related mescal; northeastern Mexico and southwestern United States
Carnegiea gigantea,
saguaro,
sahuaro
extremely large treelike cactus of desert regions of southwestern United States having a thick columnar sparsely branched trunk bearing white flowers and edible red pulpy fruit
barrel cactus,
echinocactus
any cactus of the genus Echinocactus; strongly ribbed and very spiny; southwestern United States to Brazil
rainbow cactus
a stout cylindrical cactus of the southwest United States and adjacent Mexico
epiphyllum,
orchid cactus
any cactus of the genus Epiphyllum having flattened jointed irregularly branching stems and showy tubular flowers
barrel cactus
a cactus of the genus Ferocactus: unbranched barrel-shaped cactus having deep ribs with numerous spines and usually large funnel-shaped flowers followed by dry fruits
nopal
any of several cacti of the genus Nopalea resembling prickly pears
Opuntia cholla,
cholla
arborescent cacti having very spiny cylindrical stem segments; southwestern United States and Mexico