Any number on a blue line has a factor of 2; any number on a green line has a factor of 3. Any number in red has a factor of 5. In some of the diagrams in this section, other numbers such as 7, 11, and 37 contribute different colored threads to interweave with the basic 2-3-5 structure.

Finally, the section on the Pythagorean and Brahmanic values of pi shows how various numbers from the ancient world associated with Pythagoreanism and cosmic cycles, when added together, accurately approximate the value of pi to seven decimal places— Connie Achilles

In this diagram multiples of 11 are added to the basic 2-3-5 matrix, and are shown on the magenta lines.

The number 3168 is highlighted. Astronomically, the combined radii of the earth and moon create a circle 31680 miles in circumference, and a box enclosing the earth also has a perimeter of 31680 miles. By gematria, 3168 is the numerical equivalent of the Christian phrase Lord Jesus Christ and is also the sum of The God Apollo + Pythagoras + Jesus.

For further information, see the diagram Beginnnings of the Music of the Spheres—The Number 3168 in the astronomy section.

This diagram shows the multiples of 37 in relationship to the basic 2–3 number matrix. Many of the key mystical names and terms associated with Christianity are multiples of 37, and the multiples of 37 are here shown at the intersection points of the purple lines.

Highlighted in this diagram are the names and titles Pythagoras (864), Jesus (888), and Christos (1480)—along with other gematria values and significant numbers.

In contemporary terms, we express the number pi as 3.1415926 . . . (to seven decimal places). By definition, the value of pi—the ratio between the diameter and circumference of a circle—is both a transcendental and irrational number: it can never be precisely defined either as a decimal value or as a whole number fraction. Despite that, the value of pi can be fairly well approximated by various fractions, such as 22/7, and even more accurately by 355/113.

Remarkably, as the calculations in this document show, various numbers from the ancient world associated with Pythagoreanism and cosmic cycles, when added together, accurately approximate the value of pi to seven decimal places. For example, temporal values from the ancient Brahmanic Tables — the number of seconds in a solar day, a solar year, and one hundred solar years — when added together give a sum of 3,141,590,400.