The independent claims of this patent signify a concise description of embodiments. Disclosed is technology, roughly described, in which a semiconductor structure includes a substrate supporting a column of at least one (and preferably more than one) horizontally-oriented nanosheet transistor, each having a respective channel segment of semiconductor crystalline nanosheet material (preferably silicon or a silicon alloy) sheathed by gate stack material, wherein the channel segments have a diamond cubic crystal structure and are oriented such that the {111} planes are horizontal. Also disclosed is a method for fabricating such a structure, and a corrugated substrate that may be formed as an intermediate product. This Abstract is not intended to limit the scope of the claims.