Question: Are Frailea and Cyathodes both types of plant?

full_context: Document 1: Cydista: Cydista is a genus that consists of more than twenty species of lowland, showy, evergreen, ornamental shrubs and woody vines, ranging from central and southern Mexico to Paraguay and eastern Brazil. The genus is characterized by the lack of a nectariferous disk and is associated with the multiple-bang flowering syndrome. All species are lianas with clusters of funnelform flowers, bloomig twice a year in spring and fall. The flowers start of purple and change to a lighter shade of lavender with age, then fading to almost white, followed by linear oblong fruits and winged seeds. The plants are multi-stemmed with opposite, oval, glossy, dark-green leaves and 2 leaflets, and climb by tendrils arise from the leaf axils. Leaves smell like garlic when crushed.
Document 2: Schlumbergera: Schlumbergera is a small genus of cacti with six species found in the coastal mountains of south-eastern Brazil. Plants grow on trees or rocks in habitats that are generally shady with high humidity, and can be quite different in appearance from their desert-dwelling cousins. Most species of "Schlumbergera" have stems which resemble leaf-like pads joined one to the other and flowers which appear from areoles at the joints and tips of the stems. Two species have cylindrical stems more similar to other cacti. In Brazil, the genus is referred to as "Flor de Maio " (May flower), reflecting the period in which they flower in the Southern Hemisphere.
Document 3: Cassiope: Cassiope is a genus of 9-12 small shrubby species in the family Ericaceae. They are native to the Arctic and north temperate montane regions. The genus is named after Cassiopeia of Greek mythology. Common names, shared with several other similar related genera, include heather and heath. They have scale-like leaves lying against the stems, and produce solitary bell-shaped flowers in late spring. Though hardy, flowers can be damaged by late frosts.
Document 4: Cyathodes petiolaris: Cyathodes petiolaris is a small alpine plant in the heath family, found in Tasmania, Australia.
Document 5: Calothamnus: Calothamnus is a genus of shrubs in the family Myrtaceae and is endemic to the south-west of Western Australia. The common names one-sided bottlebrush or claw flower are given to some species due to their having the flowers clustered on one side of the stem or because of the claw-like appearance of their flowers. "Calothamnus" species are generally medium to tall woody shrubs with crowded leaves. In most species the leaves are crowded and linear in shape, and the flowers are usually arranged in dense clusters. The petals are small and fall off the flower soon after it opens but the stamens are long, numerous and usually bright red.
Document 6: Cyananthus: Cyananthus is a genus that consists of about 30 species of annual or mostly perennial herbs from high mountains of Central and East Asia. They are little Himalayan plants not higher than 4in. The name comes from the "Greek" for blue flowers. Leaves are usually small and simple, sometimes narrowing to base, tooth-lobed at summit. In August to September, the plants bear showy of bright purplish-blue, yellow or white, funnel to bell-shaped, 5-lobed flowers 1in in diameter with stamens free from the corolla and hairy throat. The flowers are borne singly on stalks. They always lose the aerial parts during the coldest months, and as spring begins, stems and leaves quickly start to reproduce.
Document 7: Cyathodes: Cyathodes is a genus of shrubs within the heath family. A characteristic feature of the genus is a deeply five-cleft calyx.
Document 8: Schlumbergera opuntioides: Schlumbergera opuntioides is a species of plant in the Cactaceae family. It is endemic to the coastal mountains of south-eastern Brazil where its natural habitats are humid forests and rocky areas. It is threatened by habitat loss. It is in the same genus as the popular house plant known as Christmas Cactus or Thanksgiving Cactus.
Document 9: Schlumbergera kautskyi: Schlumbergera kautskyi is a species of plant in the Cactaceae family. It is endemic to a small area of the coastal mountains of south-eastern Brazil where its natural habitat is rocky areas. It is threatened by habitat loss. It is in the same genus as the popular houseplant known as Christmas Cactus or Thanksgiving Cactus.
Document 10: Fascicularia: Fascicularia is a genus of the botanical family Bromeliaceae, subfamily Bromelioideae. The genus name is from the Latin “fasciculus” (bundle) and “arius” (pertaining to)
Document 11: Calliandra calothyrsus: Calliandra calothyrsus is a small leguminous tree or large shrub in the Fabaceae family. It is native to the tropics of Central America where its typical habitat is wet tropical forests or seasonally dry forests with a dry season of four to seven months, when it may become deciduous. This tree grows to about 6 m and has pinnate compound leaves and flowers with a boss of prominent reddish-purple stamens. It is not very drought-tolerant and the above-ground parts are short-lived but the roots regularly resprout.
Document 12: Schlumbergera microsphaerica: Schlumbergera microsphaerica is a species of plant in the Cactaceae family. It is endemic to a limited area of the coastal mountains of south-eastern Brazil where its natural habitat is rocky areas above 2600 m . It is threatened by habitat loss. It is in the same genus as the popular house plant known as Christmas Cactus or Thanksgiving Cactus.
Document 13: Cyathea: Cyathea is a genus of tree ferns, the type genus of the fern order Cyatheales.
Document 14: Frailea: Frailea is a genus of globular to short cylindrical cacti native to Brazil. These species are cleistogamous. They were first classified in the genus "Echinocactus".
Document 15: Schlumbergera truncata: Schlumbergera truncata, the false Christmas cactus, is a species of plant in the Cactaceae family. It is endemic to a small area of the coastal mountains of south-eastern Brazil where its natural habitats are subtropical or tropical moist forests. It is the parent or one of the parents of the houseplants called Christmas cactus or Thanksgiving cactus, among other names.
ground_truth: yes