If we inscribe a hexagon inside a circle, the six sides of the hexagon are all equal to the radius of that circle.
Connecting the corners of the hexagon to the center of the circle produces six equilateral triangles. Note that all the blue lines in the figure below
are equal, proving the above assertion.
The Vesica Piscis
The vesica 'proves the points' of the hexagon. In the vesica, the centers of the circles are 1 radius apart, since each circle lies on the circumference
of another. Note how the vesica contains a rhombus and cross pair.
Inserting the Pythagorean 'Y' into the hexagon produces three rhombus and figures to us the 3D cube; that is, we use a hexagon composed of three
rhombus to depict a 3D cube.
Stellation (literally star making) refers to extending the sides of regular polygons until they cross; stellating a hexagon yields the hexagram. Once
again, all the triangles that are formed are equilateral.
Nesting one hexagram inside of another one produces the familiar Metatron's Cube. Note that the Cube consists of thirteen points on three
axes, five on each axis.
The Tree of Life
While Metatron's Cube is composed of three axes, the Tree of Life consists mainly of plane figures like the triangle, rectangle, pentagon and hexagon.
Below we focus on the rhombus that lies between the top and bottom points of the Cube, ignoring the four points of the larger rectangle in that figure.
As you can see this leaves 9 points (13-4=9), the seven from the hexagon (this includes the center point) and the ones at the top and bottom of the
rhombus. The Tree of Life differs from the Cube in that it substitutes two points (red above) for the top point of the hexagon (black above, called Daath),
making a total of ten spheres on the Tree. Note that these two new points are located by extending the top sides of the hexagon to the edge of the rhombus
(triangle), providing the top two corners of a pentagon. Below we see the first published image of the Tree.