Begonia ludwigii is a fascinating, endangered (habitat loss), Thick-Stemmed species from Ecuador. It is native to subtropical and tropical moist lowland to montane forests. It will form a upright stem over time and develops an almost caudex-like base - probably helping to ease it through seasonal dry spells. It is NOT a terrarium-type species and I find it does well as an outdoor patio-type plant in the summer months. It seems to prefer a fairly decent amount of light, and to not be too wet. In winter, it tends to drop some foliage and i try and use caution at that time so as to not rot the roots.
This stem-cutting-grown example bears purple-tinged patterns on the foliage with silvery-white splotches, though this will vary considerably throughout its lifetime. Seedling, adolescent, and mature forms all have their own very distinct color/pattering - the most bold when younger.
I find it does not grow all that reliably from leaf cuttings. This is for a nicely developed plant in 4" pot.