10 Variable Mayan Spiral Pascalloid
What do you think of pictograms? I saw a picture of a square spiral of 360° in a book called The Hidden Maya. The spiral seemed squarish and efficient enough to make a Pascalloid out of it, that is to make this pictogram into a summation function and compute it algorithmically.
In this example of a very efficient two dimensional symbol, significant digits of four important numbers occur. We have Pi; 31416, Phi; 1617 & 16179, e; 2718 and The Square Root of Two to some degree; 14142. This does not seem coincidental.
Also for the first time in this case the mirroring of the actual summation operation (indicated with zeros) is clear in the mirroring of its application to the actual numbers. And as for the fact that it is ten variables, I think the checksum totals should be obvious.
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Near the upper right hand corner, we find 161790. Substituting for '1' at N=0 the number 0.00001, we arrive at 1.6179, what is closer to the Golden Section than our find at N=7. (Actually, it is 1.618, but we are still close on this one).
Also, diagonal downwards from the upper left hand corner, we find 1414200. At N=0 we change our '1' to '0.000001', and this number becomes 1.4142, the square root of two, with two extra zeros that melt away.
Four or five orders of magnitude of accuracy for several key mathematical constants in the universe within a free-floating group of numbers and no extra numbers attached makes it more of a synchronicity than a coincidence that all these number strings can be found in one 'Pascalloid'.
The only problem with so many key numbers that can be found in our structure, where do we set our N=0 value of '1'? Should it be at 0.001 or 0.00001 if we are choosing a Golden Mean estimate? If we want Pi, should we go for a seed number of 0.0001? If we like e, then maybe another vote for 0.001? Or do we seek the square root of two and demand our seed number as 0.000001? At any rate, there is no way to get all of these variables to logically appear without varying the seed number @ N=0. We would have to go over a whole group to just correctly assign decimal places, setting our seed number as:
0.001; 0.0001; 0.00001; 0.000001
in four different examples.