I have a plant that I was given a start of years ago by someone who called it Rick-rack plant. I realize that is a common name often given to Epiphyllum (Orchid cactus). However it does not look like my Epiphyllum or any picture of one that I can find. It looks even less like Hylocereus undatus (night-blooming cerus) which I also have. Those are the two closest plants I can think of, and it does seem to enjoy the same conditions that they do. It runs in my mind that I did find a proper name for it once, but if so, I lost it.
I uploaded 3 pictures to the files area of
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Mystery plant, and Mystery plant 2. The last picture is just to show how convoluted the leaves (or maybe they're really branches) are.