# Variance group (no ontology)

### From Hi.gher. Space

A **variance group**, uniquely identified by the number of dimensions it applies to and its Dx number, is the method by which a uniform polytope is obtained from a given regular polytope of that dimension. In *n* dimensions, there are 2^{n} unique variance groups. Variance groups have several sets of names; shown in the tables of uniform polyhedra and polychora by their Kana mnemonics are the *standard*, *Krieger* and *conventional* namesets. The standard nameset is that used by Wikipedia and generally accepted by mathematicians. The conventional nameset is that preferred specifically on HDDB as it provides more sensible names for each variance group. The Krieger nameset, which is only shown in the polychora table, lists those names used in Wendy Krieger's polychora table.