GMT: Properties of the World Trade Center Tetrahedron

A fourth point at the center of the quadrangle WTC property added to the WD Gann Memorial Triangle creates the two-dimensional illusion (perceptively, a perspective structure) of a three-dimensional tetrahedron that is referred to as the WTC Tetrahedron:

Reduced to an Excel illustration, the distances between points can be inserted along with time properties which have been associated with each of the points.  We then have a Euclidian structure based on Descartisian coordinates which includes time durations between the same points:

Space (distance) and time (duration between points) co-located on the same Euclidian structure.  In the WTC Tetrahedron we have X, Y, Z and T; a four-dimensional concept.  Further, in each of the four triangles (the larger triangle and the 3 component triangles) space forms a triangle and time forms a straight line.  Here are the statistics of the above triangle and 3 component triangles:

The larger triangle, ABC has three vectors whose distance measurements of 5.51. 6.72 and 3.85 sum to 16.08 (roughly the 2^4) and form a triangle whose angles sum to 180*.  It is a Euclidian triangle by definition (1).   On the other hand, the time durations between the 3 points, if we were to try to construct a triangle of them, cannot be a triangle; any two sides of a triangle must be greater than the third.  Rather, sides 46 years plus 23 years equal the third side 69 years; a straight line.

And, as we have noted in previous essays, the space distance and time components of each vector of the GMT or triangle ABC are inversely related.  In other words, the longest vector in distance, B to C of 6.72 miles, has the shortest time duration, 23 years.  And the shortest space distance vector of 3.85 has the longest time  duration of 69 years.

Again, those are previously recognized properties of the GMT.  How about the 3 component triangles?  Ditto.  Check each component triangle.  Yes, distances form a triangle, duration forms a straight line.  Yes, distance and time are inverse.

Perhaps, no, certainly one observation is simply the geometry of a triangle with any point point, such as point 'd' identified within it necessitates the creation of 3 component triangles measured in distance.   But why would we find the same relations noted in the paragraph above when we introduce time duration?  That time would be a straight line and distance and duration be consistently inverse?

There are some very interesting numbers that present themselves if you manipulate the distances and durations.

[And there may a very promising implication for parsing time by bisecting each of the 3 triangles with a 90* angle drawn from each of the 3 vectors to point 'd'; and parsing both time and distance, simultaneously, is really what we are after, is it not?  Context for more research and a later essay.]

As cameo'd in "The Tunnel Thru the Air" Arthur Conan Doyle might have Sherlock tell us:

"You see, but you don't observe.  The distinction is clear."

Jim Ross

(1) The measurements via Google Earth are spherical and non-Euclidean.  The actual angles sum to nearly 180.1* rather than 180*.  Any spherical non-Euclidean triangle interior angles must sum to greater than 180* and hyperbolic non-Euclidean triangles must sum to less than 180*.  Since such a small part of the Earth is represented by this triangle, I will assume away the .1* error and accept the case the triangle is Euclidian.