
Originally Posted by
Jung
Adding a fourth to an already established thee has a transformational effect. In geometry, a fourth point transforms the two-dimensional triad or triangle into a figure with depth, the cube and the tetrahedron (a form lapis). As the mathematician Michael Schneider observes, “There are always four ways (another quaternity) to look at any three-dimensional structure: as points, lines, areas, and volumes, or as corners, edges, faces, and from the center outward (63). Ellenberger notes that “The quaternity can appear as a geometric figure of square or sometimes rectangular shape, or it will have some relation wit the number four: four persons, four trees, and so on. Often it is a matter of completing a triadic figure with a fourth term, thus making it into a quaternity” (712). Jung searches for the quaternity when a trinity is encountered, “Jung over and over again in his writings returns to the alchemical question: “Three are here but where is the fourth?” (Edinger 189). The completion of the quaternity is seen frequently in alchemical works, even whimsically, “All things do live in the three/ But in the four they merry be” (quoted in CW 12 125).