(C) Copyright Saturday, May Nineth, Two Thousand and Nine Common Era By Justin M Coslor ALL RIGHTS RESERVED GODEL NUMBERING FOR PICFORM PICVIS The prime number base is the "X" axis, and the exponent is the "Y" axis, and the X axis is perpendicular to the Y axis. *Note: There might be a way to use fractional exponents for more pixels using less computation. 1^1 | 2^1 3^1 5^1 7^1 | ----|-----------------------------------| | | 2^1 | 2^2 2^3 2^5 2^7 | | | | | 3^1 | 3^2 3^3 3^5 3^7 | | | | | 5^1 | 5^2 5^3 5^5 5^7 | | | | | 7^1 | 7^2 7^3 7^5 7^7 | ----------------------------------------| This is the basic four pixel by four pixel (16 pixel) display for creating new symbols in PICVis for the PICForm language using Godel Numbering. Here is an example: 1^1 | 2^1 3^1 5^1 7^1 | ----|-----------------------------------| | | 2^1 | [2^2] [2^3] 2^5 [2^7] | | | | | 3^1 | [3^2] [3^3] 3^5 [3^7] | | | | | 5^1 | 5^2 [5^3] 5^5 [5^7] | | | | | 7^1 | 7^2 [7^3] 7^5 [7^7] | ----------------------------------------| [2^2]*[2^3]*[2^7]*[3^2]*[3^3]*[3^7]*[5^3]*[5^7]*[7^3]*[7^7] = "Selah" "Selah" = [2^42]*[3^42]*[5^21]*[7^21] So therefore "Selah" = [1.28168543 * 10^65] by old inaccurate Real Number math, yet in Geometry "Selah" = 2 pulses repeated 42 times, followed by 3 pulses repeated 42 times, followed by 5 pulses repeated 21 times, followed by 7 pulses repeated 21 times, followed by a spike or a pause. The pulse sequences would happen very fast so that information could be transcribed accurately and quickly even in alien computational systems. An entire alphabet and number system and higher math and language and diagrams (diagrams from stitching together a quilt of these 16 pixel database grids) could easily be represented in this manner (Such as PICForm, the language I rough drafted (invented) over about a five year period, which is Patterns in Contexts Formalized Epistemological Programming Language. . .PICVis (Patterns In Contexts Visualization System) is to be the visual counterpart of PICForm). The symbol "Selah" means "the here and now" and it also means "pay close attention to the present moment". Notice the braces "[ ]". These mean that that position in the database grid is a pixel that is part of a pictogram. Here is another example: 1^1 | 2^1 3^1 5^1 7^1 | ----|-----------------------------------| | | 2^1 | 2^2 2^3 2^5 2^7 | | | | | 3^1 | [3^2] [3^3] [3^5] [3^7] | | | | | 5^1 | 5^2 [5^3] [5^5] 5^7 | | | | | 7^1 | 7^2 [7^3] [7^5] 7^7 | ----------------------------------------| This is the symbol for "Pi" in the Greek alphabet, approximated on a 16 pixel grid. 1^1 | 2^1 3^1 5^1 7^1 | ----|-----------------------------------| | | 2^1 | [2^2] [2^3] [2^5] [2^7] | | | | | 3^1 | 3^2 [3^3] [3^5] 3^7 | | | | | 5^1 | 5^2 [5^3] [5^5] 5^7 | | | | | 7^1 | 7^2 7^3 7^5 7^7 | ----------------------------------------| This is the symbol for "Pi in the sky". Here are some other examples: 1^1 | 2^1 3^1 5^1 7^1 | ----|-----------------------------------| | | 2^1 | [2^2] [2^3] [2^5] [2^7] | | | | | 3^1 | [3^2] 3^3 3^5 [3^7] | | | | | 5^1 | [5^2] 5^3 5^5 [5^7] | | | | | 7^1 | [7^2] [7^3] [7^5] [7^7] | ----------------------------------------| This is an example of a square. 1^1 | 2^1 3^1 5^1 7^1 | ----|-----------------------------------| | | 2^1 | [2^2] 2^3 2^5 [2^7] | | | | | 3^1 | 3^2 [3^3] [3^5] 3^7 | | | | | 5^1 | 5^2 [5^3] [5^5] 5^7 | | | | | 7^1 | [7^2] 7^3 7^5 [7^7] | ----------------------------------------| This is an example of an "X" or a top view of a four sided pyramid. *Note: using larger exponents can draw more accurate pictograms, yet a simple language can be made out of the many contextual alternative possibilities of what each 16 pixel pictogram represents, because all truth is contextual, as it exists in a context as a network of patterns like the setting in a story or tale or legend. 1^1 | 2^1 3^1 5^1 7^1 | ----|-----------------------------------| | | 2^1 | [2^2] 2^3 2^5 2^7 | | | | | 3^1 | [3^2] [3^3] 3^5 3^7 | | | | | 5^1 | [5^2] 5^3 [5^5] 5^7 | | | | | 7^1 | [7^2] [7^3] [7^5] [7^7] | ----------------------------------------| This is a pictogram of a right angled triangle (a perpendicular triangle). It could symbolize Trigonometry.