Those are Thanksgiving Cacti. Below is a photo of TC leaves versus CC leaves (this is not my photo, I found it online). On the left are TC leaves, on the right, are CC leaves. Hope this helps!

Planto

Thank you Planto, if they are TC, then it is too late for them to bloom? Thanksgiving is long gone.
Marie

WOW Marie,
You can grow thanksgiving cactus as well as you do desert rose plants. Beautiful plants.
Thanks for sharing. I love them.
Sharon

Itran,
I am by no means an expert on holiday cacti, but I don't believe it's too late (with that said, I'm hoping someone else with more knowledge on this question will chime in).

If I'm not mistaken, my MIL's bloomed later than Thanksgiving last year and I think she has one right now that's forming buds (they haven't opened yet).

I hope this helps.

Planto

Correct me if I am wrong, but I thought that most of the common cultivars were selected hybrids, selected for flowering traits, not natural plants. So do the terms TC and CC mean all that much for these plants, other than they flower heavily and easily during the short days?

Noki,
Hmm, that would make sense as to why my MILs TC has buds on it right now. I don't have any experience with making them re-bloom.

Planto

TC and CC will bloom for quite a long window of time.

TC tend to bloom sooner, which is why they're marketed incorrectly as Christmas Cactus....
they have blooms before Christmas, and they sell better when in bloom. Christmas Cactus tends
to bloom just a bit later, right about Christmas.

TC is Schlumbergera truncata.

CC is Schlumbergera x buckleyi, an old hybrid.

Read this link to understand the clear differences:
RECOGNITION and CULTURE
of the HOLIDAY CACTI

Josh

http://cactus.biology.dal.ca/paulS/christmas/christmas.html

Thanksgiving cactus- the pointy leaf edges are the tell. Bloom depends on hours of darkness, which can be artificially controlled. Growers do this with poinsettias too.

Here is a link that might be useful: holiday cactus