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[GR] > Numerical Geometry

Lift up your eyes on high, and behold who hath created these things, that bringeth out their host by number: he calleth them all by names by the greatness of his might, for that he is strong in power; not one faileth.

Isaiah 40:26

Figurate Numbers are numbers that can be represented as a regular array of points, such as a triangle, square, or pentagon. Such numbers figure prominently in Scripture and are a highly significant part of its divine design. I am greatly indebted to Vernon Jenkins for his pioneering work in this area. His introduction This link takes you off the Bible Wheel site and opens a new window to this topic and its relation to Scripture is well worth reading. Another excellent introduction - from a purely mathematical point of view - may be found in the Figurate Number This link takes you off the Bible Wheel site and opens a new window article on MathWorld This link takes you off the Bible Wheel site and opens a new window site.

Many of the significant numbers found in Scripture are members of geometric number sequences. For example, the entire Canon is divided into segments that contain 5, 12, or 22 Books. As discussed below, these three numbers of the second, third, and fourth terms of the Pentagonal Number Sequence. An excellent site that has a huge searchable database of such number sequences is found at The On-Line Encyclopedia of Integer Sequences This link takes you off the Bible Wheel site and opens a new window


Triangular Numbers:

pic

The nth Triangular Number is the sum of all the numbers from 1 to n. It is represented as T(n). For example, the number of fish caught in John 21 is the seventeenth triangular number:

T(17) = 1 + 2 + ... + 16 + 17 = 153

This relation has been known and meditated upon since at least the 5th century when Augustine commented on it in his his Tractate 122 This link takes you off the Bible Wheel site and opens a new window on John 20:30-21:11.

Notation Change: When I first designed this website, I denoted triangular numbers with the heuristic "Sum(n)" to remind the non-mathematically trained reader that the nth triangular number is formed by summing the integers from 1 to n. But I have since come to realize that every extra symbol clutters the equations, and so have decided to change the notation to the simpler and standard "T(n)." Readers therefore may encounter triangular numbers represented either as T(n) or Sum(n) until I have completed the update.

Triangular Numbers appear frequently in Scripure. Here are a few of the more obvious, with their associated concepts:

Index Value Associated Concepts
1 T(1) = 1 All geometric numbers begin with the value "1" which is therefore called the "trivial case."
2 T(2) = 3 The Trinity: The Spirit (3) proceeds from the Father (1) and the Son (2). This manifests with great clarity on Spoke 3 as discussed on pages 164-5 of the Bible Wheel book, reproduced online here.
3 T(3) = 6 Creation of Man and Cosmos: Six = 600 = Cosmos. Six is a "perfect number" in that 1 + 2 + 3 = 1 x 2 x 3 = 6. It is profoundly integrated with the Creation Holograph as well as Spoke 6 of the Bible Wheel.
4 T(4) = 10 Number of the Ten Commandments and base of the Bibical numerical system. It is profoundly integrated with Spoke 10 of the Bible Wheel.
7 T(7) = 28 The Number of words (7) and letters (28) of the Creation Holograph (Genesis 1.1) which sums to 2701 = T(73)! [See below]
11 T(11) = 66 The Number of Books in the Wheel, and the value of the word Wheel itself:

Wheel

pic

Galgal

= 66

19 T(19) = 190 The Index and the Value are related through this fundamental identity from Genesis 3:

Rib

pic

Tsalo

= 190 = T(19) = T(Eve)

23 T(23) = 276 The Number of souls saved in Paul's shipwreck (Acts 27.37)
24 T(24) = 300 The Value of pic (Ruach Elohim, The Spirit of God). This is an extremely profound relationship.
32 T(32) = 528 The KEY to the Bible = T(32)! (Note: The Hebrew for Heart is Lev = 32)
36 T(36) = 666 The Number of the Beast (Rev. 13.18).
43 T(43) = 946 The Spirit = T(43) (Note: The Hebrew word for "Greatness" is Gadol = 43. This is the primary role of Holy Spirit - to magnify the Father and the Son.
73 T(73) = 2701 The sum of Genesis 1.1, the Creation Holograph. It is expressible as a very simple combinations of elements from the Holographic Generating Set: 2701 =