A  Equitant oncidiums, now classified in the genus Tolumnia, are not always the easiest of orchids to cultivate. They seem to grow best in bright, warm conditions and should not be over-watered. This is best accomplished by either mounting the plants on cork or a similar material, or by growing in very small pots with only a little medium. The flowered growth may occasionally bloom again, but this is not the normal habit, except, perhaps, in ideal circumstances. The old flower stems may rebloom, though, like a phalaenopsis, in certain breeding lines. Very few growers succeed with equitant oncidiums to the extent where they get good enough plants to contemplate division. Only if the specimen gets quite large and healthy should you even think about it. And, yes, if you can grow these well, there is a wealth of other oncidiums (remember, though, that the genus Oncidium is one of the largest and there is no one way to grow them) that should succeed for you. — Ned Nash