You are asking for the "correct" name for a cactus? Are you trying to start a fight? All the names you list are probably correct, then again, only one is, depending on who you ask. I tend to use the shortest one, so my plant is thought of as M. fragilis. You can call it what pleases you.

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Others blooming today include some that are early (the Aloes, Stenocactus, Chamaecerus), and some that are late, (the Fero., the Cleisto)

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