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We occasionally get enquiries about a cactus commonly referred to as "rick rack" "zig zag" or "fishbone". The fact is that there is NO ONE CACTUS PLANT with this zig zag growth habit, there are several. You may need to wait for your plant to bloom to know what species you have.
Pictured here is Epiphyllum anguliger, a species with jagged growth pattern and white flowers. Another plant with a similar patterning in the branches is Selenicereus anthonyanus. it's a totally different species and has flowers that are dark pink/fuchsia with white shading. Another plant with a zig zag branch pattern is Selenicereus chrysocardium. The branches are large and wide and the flowers are white. Another Epiphyllum species, Epiphyllum crenatum, also has a zig zag branch pattern.
The moral of the story is, it's not a good idea to use common names when talking about the different species of epiphytic cacti. Learn and use the correct species name to help eliminate confusion.
For a nice presentation on epiphytic cacti click here: https://www.abc.net.au/gardening/factsheets/rhipsalis/11612694?fbclid=IwAR3MdW0LnCmG0eDUcV4vVKgrHVWv4AZFrI_Pkx8x34dilYw9rztuIeEjDBM