The Pythagorean triangle is a cornerstone of Euclidian geometry.
Vastly lesser known is the Kepler triangle named after Johannes Kepler (1):
The side progression of the Kepler triangle is based upon Phi. The Kepler triangle is, as explained HERE, the only expression of the triangle that "squares the circle." As developed in that link, the Kepler triangle is enshrined in the Great Pyramid. You may wish to consider in that link that the Kepler triangle squaring of the circle relates Pi and multiples of two, emblematic of the circle and the square (the hypotenuse is the the square root of two times the side).
Moreover, as mentioned in my previous essays (most prominently HERE), the WD Gann Memorial Triangle points A, B and C, symbolically represent the circle, square and triangles. Point A is the Statue of Liberty Island, itself a ellipse sports numerous circles within it (and appears to be the Tree of Life). Point B is the Conde Nast Building and home of Nasdaq; it is clearly the square and the cube. And Point C is the WD Gann Gravestone Geometry triangle, clearly a triangle of 12 (and perhaps a hidden 13th) gravestones of Masons. The Kepler triangle is prominently represented in the GMT.
The logical question must be posed, we have an arithmetic progression in the Pythagorean Triangle and a geometric profession in the Kepler Triangle; it seems logical that there is a triangle with great importance that has sides of an exponential progression.
The WD Gann Memorial Triangle is, in my finite accountant's thinking, the exponential progression of sides. And if true, the implication would be one step beyond that of the Kepler Triangle. Here is the fully documented GMT:
The math is as terribly simple as it is elegant:
1, 2 and 3, sides of a triangle that represents an exponential progression. [Excuse the .05 error as the likely result of either/or both measurement error (where I placed points) or use of spherical measurement of distance interpreted via Euclidian geometry.]
The implication to which I referred- Where the Pythagorean Triangle defines Euclidean planar geometry and the Kepler Triangle is the only triangle that squares the circle and relates Pi to the sqrt(2), the WD Gann Exponential Triangle is the only structure that will equate or "square" the cubic structure of space and the spherical structure of time….squaring the cube and the sphere. Moreover, does this Exponential Triangle define the "curvature of time?"
I haven't tested that implication and I am not equipped to do so. Perhaps it already exists in metaphysics and higher math and wasn't taught in my primer for the CPA exam. On the other hand, I am down this road not out of chance. Again, my opinion; Mr. Gann demonstrated this in the 7th Prophecy found HERE. He knew, yet again, in my opinion.
Hanging in the balance might be the ability to relate circular time (duration) and cubic space (distance). That I would propose, without the benefit of a lot of further discovery, was one of Mr. Gann's two great discoveries. The second discovery would lie in the Gann Gravestone Geometry as previously described…. how to relate the aforementioned "curvature of time" to specific entities (institutions and persons) by virtue of their individual vibration. I expect to pose this dilemma to Mr. Gann's pen pals, or pen personas, Luo Clement and the Einstein Essay Prize Editor (see my previous essays).
Jim Ross
(1) From Wikipedia and in public domain
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