triangular numbers. When arranging groups of spheres, the patterns they

fall

into are dictated by their shape. Three spheres of equal size are going to

assume the shape of a triangle.

.....*.....

....* *...

Four spheres brought together in the shape of a square form an unstable

structure.

.....* *.....

.....* *.....

The spheres naturally maintain a sixty degree relationship with one

another.

The power of attraction pulls the square into a diamond shape.

.....*.....

....* *...

.....*.....

Hence it follows that triangles are an inherent feature of numerical

structure while squares are less so. The ratios found in the New Testament

are built from the first three triangular numbers.

...........*..........

..........* *........

...........*.........

..........* *.......

.........* * *......

...........*..........

..........* *.........

.........* * *.......

........* * * *.....

But once again, the value of these numbers stems from the manner which like

quantities of spheres can be stacked one upon the other.

Consider the one verse within the Gospels which contains the word PSEPHIZO:

For which of you, intending to build a tower, sitteth not down first, and

counteth (PSEPHIZO) the cost, whether he have sufficient to finish it?

Luke 14:28

Notice what is being built, a tower, which is perfectly in keeping with the

shape of the structure formed from the spheres.

Such clues provide us with a window into an alternative system of numerical

understanding, one not based on axioms, but one built around experience.

Axioms are 'self-evident' beliefs, while experience supplies one with

knowledge.

Consider the classic Platonic dimensional progression. A zero dimensional

point moves in a straight line generating a one-dimensional object. A line

moving perpendicular to itself in a plane generates a square, the basic

object of the second dimension. Move a square perpendicular to itself and

you form a cube, a three-dimensional object.

Where are the axioms above? Observe the various imaginary objects. The

illusionary zero dimensional point, the one dimensional line, and the two

dimensional square. All are abstractions, without basis in reality and yet

somehow, from them one arrives at a real object, a cube.

A progression built up from physical experience begins not with an

idealized

concept of an imaginary point but with a single sphere.

James Lambert

http://web.telecom.cz/Gnostradamus/>

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