The “squaring of the circle” is one of the many archetypal motifs which form the basic patterns of our dreams and fantasies.
But it is distinguished by the fact that it is one of the most important of them from the functional point of view.
Indeed, it could even be called the archetype of wholeness.
Because of this significance, the “quaternity of the One” is the schema for all images of God, as depicted in the visions of Ezekiel, Daniel, and Enoch, and as the representation of Horus with his four sons also shows.
The latter suggests an interesting differentiation, inasmuch as there are occasionally representations in which three of the sons have animals’ heads and only one a human head,
in keeping with the Old Testament visions as well as with the emblems of the seraphim which were transferred to the evangelists, and-last but not least-with the nature of the Gospels themselves: three of which are synoptic and one “Gnostic,”
Here I must add that, ever since the opening of Plato’s Timaeus (“One, two, three … but where, my dear Socrates, is the fourth?”) and right up to the Cabiri scene in Faust) the motif of four as three and one was the ever-recurring preoccupation of alchemy. ~Carl Jung, CW 9i, Para 715