Vanilla planifolia Vanilla planifolia Vanilla planifolia is a species of vanilla orchid. It is native to Mexico and Central America, and is one of the primary sources for vanilla flavouring, due to its high vanillin content. Common names are flat-leaved vanilla, Tahitian vanilla, and West Indian vanilla (also used for the Pompona vanilla, "V. pompona"). Often, it is simply referred to as "the vanilla". It was first scientifically named in 1808. "Vanilla planifolia" is found in Mexico, Central America, the Caribbean, and northeastern South America. It prefers hot, wet, tropical climates. It is cultivated and harvested primarily in Veracruz, Mexico and in
Algebraic variety algebraic sets. Using the Nullstellensatz and related results, mathematicians have established a strong correspondence between questions on algebraic sets and questions of ring theory. This correspondence is a defining feature of algebraic geometry. An "affine variety" over an algebraically closed field is conceptually the easiest type of variety to define, which will be done in this section. Next, one can define projective and quasi-projective varieties in a similar way. The most general definition of a variety is obtained by patching together smaller quasi-projective varieties. It is not obvious that one can construct genuinely new examples of varieties in this way,