Decad as vesica piscis

Posted by hexnet ::

Here we see another form of the Pythagorean decad, highlighting its hexagonal nature.

Geometries such as this have been used by people throughout history—Pythagoreans, Freemasons, &c.—to justify decimalism. This is a false understanding of the decad. In both this diagram, as well as in the Tetractys, it is clear that the fundamental organizational principle is hexagonal, not decadian. The concept of ten emanates from the underlying reality of the hexagon—not the other way around.

Flower of Life

Posted by hexnet ::

Here we see the well-known "Flower of Life" pattern, consisting of nineteen interlocking hexagons in a cubic/hexagonal arrangement. While the particular term "Flower of Life" is, as far as I have ever been able to determine, of fairly recent and dubious origin, there is certainly no doubt that the pattern itself is of great antiquity, and can be found throughout the world among many different cultures.

Metatron's Cube

Posted by hexnet ::

Metatron is an angel described in Jewish and other Abrahamic religious texts, variously identified as the Scribe of God, the Lesser Tetragrammaton, et cetera. He/it is closely identified with the prophet Enoch, and by many accounts they are one and the same entity.

The cube itself consists of thirteen (doz. 11) circles, six of which emanate out from seven hexagonally packed circles in the center, with line segments connecting the center of each circle with the center of every other circle. This has the effect of producing a highly hexagonal pattern onto which one can map orthographic projections of all five Platonic solids. Note that this figure can also be expressed in the form of an actual cube, which sixteen (doz. 14) spheres instead of thirteen circles.