Fishbone cactus: The common name, fishbone cactus, was given due to the apparent similarity between the cactus stems and fish skeleton. The specific epithet in its Latin name, is derived from 'anguliger', meaning 'angle bearing'.
Zig zag cactus: Another common name, Zig-zag cactus, also comes from the specific look of the stems and the zig-zag pattern of the stems' tooths.