Homalocladium platycladum, from the Buckwheat family (Polygonaceae).
As I was leaving the greenhouse, Karen asked if I found anything interesting. I certainly did! This plant, country of origin Solomon Islands, Papau New Guinea, has thin, flat “stems” … hence the common names!
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@ruthmouch Three leaves, but the main part that's vertical -- and flat -- is actually the stem or stalk! That's what makes this so unusual (I'm guessing!)