Message #83152

[Seer of Dark Things]

All of the lines of the pentagram are divided into three segments by the other lines of the pentagram. Each line is divided as follows:

.618 : .372 : .618

.618 /.372 = 1.618

.618 + .372 = 1

1/.618 also equals 1.618

The length of the vertical lines in the hexagram are 1.902 inches long. The vertical lines are divided by the intersections of the diagonal lines as follows:

.7265 : .449 : .7265

.7265/.449 = 1.618

.7265 + .449 = 1.1755

1.1755/.7265 also equals 1.618.

All of the isosceles triangles in the hexagram have an apex angle of 72° and base angles of 54°. Bisecting these isosceles triangles forms 36° - 54° - 90° right triangles. This particular right triangle was an important geometric form known as the mr triangle in ancient Egypt.

As shown in the diagram above, all six of the outer points of the hexagram are perfectly inscribed by a vesica pisces.

The pentagram and the hexagram are also combined in the Great Seal of the United States, displayed on the back of one dollar bills.