Rhipsalis teres (Vellozo) Steudel, Nom. ed. 2.2: 449.  (1841)

R. teres

Right: R. teres, Brussels Botanical Garden.
Just because a plant is labeled in a botanic garden doesn't mean the name is accurate. Ken's experience around the world has been that many if not most Rhipsalis are misnamed. And nobody cares. This pland could well have been teres forma heteroclada

Desc from B&R 1923

Plant - stems erect or spreading, woody at base, 10 to 12 mm. in diameter, much branched, especially above, with 5 to 12 short ultimate branches at top of main ones; 
Old branches -  terete, green or blotched with red;
 Flowers -  usually several at top of short terminal branches and scattered all along the primary ones, 10 to 12 mm. broad, pale yellow; Petals -  widely spreading;
Filaments and style -  white, erect. 
 Type locality. Brazil. 

forma teres 

Notes from Bradleya 13

DISTRIBUTION. Brazil (Minas Gerais, Rio de Janeiro, Sao Paulo, Parana, Santa Catarina,Rio Grande do Sul): at < 1000 m altitude. 

The late Clarence Horich has supplied the Bonn collection with living material of this species said to have been collected in Costa Rica, but it may be doubted that it is truly native there (perhaps introduced?). The CITES Cactaceae Checklist (Hunt 1992) records it for Colombia and Venezuela, but these records are now thought to refer to highly branched variants of R. baccifera, similar to that newly described  as R. baccifera subsp. hileiabaiana.

The highly variable R. teres comprises many ecotypic forms, of which three extremes deserve recognition.

Desc from Hunt 2006.
Branches very slender, dimorphic; primary branches elongate, more or less 10-15cm x 2-3 mm; secondary branches arising in clusters, short, 1-1.5mm diam; flowers lateral, 6-8mm diam, white; fruit globose, 4-5mm diam, white or tinged pink