It looks like Anacampseros rufescens
to me, although I'm not sure of the state of its health. (It's definitely one of the Anacapseros
genus, if not necessarily A. rufescens
. I think they all require pretty much the same care.) How much water do you give it, and what kind of light does it get? I can't be sure just from the picture, but it looks like it might have been over watered. Have the leaves been falling off?
They like full morning sun, but need some protection from the hotter midday and afternoon sun. They are also not a plant for cold weather, nor do they like heat, requiring good air circulation. It looks like yours is indoors, so temperatures shouldn't be too much of a concern, unless you put it right up next to the window glass.
Growth slows down in the fall and winter, which means they need even less water. It would like a cool room (about 50Ã‚Âº F), and just enough water to keep the leaves from shriveling. It needs very well-drained, gritty soil, with a pH around 7. Any good commercial cactus/succulent mix should work fine.
Another member has been growing these from seeds, after their plant flowered. They might be able to give you some good advice, too.
"Isn't it enough to see that a garden is beautiful without having to believe that there are fairies at the bottom of it too?" - Douglas Adams