Kata is a mathematical/geometric term referring to a direction in the fourth spatial dimension. It comes from the Greek word for "down". As the other three dimensions all have counterparts, up/down, north/south, east/west, the counterpart of kata is ana (from the Greek word for "up"). Mathematics is commonly defined as the study of patterns of structure, change, and space; more informally, one might say it is the study of figures and numbers. Mathematical knowledge is constantly growing, through research and application, but mathematics itself is not usually considered a natural science. ... Geometry (from the Greek words Ge = earth and metro = measure) is the branch of mathematics first introduced by Theaetetus dealing with spatial relationships. ... The concept of a fourth dimension is one that is often described in considering its physical implications, that is, we know that in three dimensions, we have dimensions of length, width, and height. ... Ana is a mathematical/geometric term referring to a direction in the fourth spatial dimension. ...