1 2 3 5 7 11 13 17 19
2 2^2 3^2 5^2 7^2 11^2 13^2 17^2 19^2
3 2^3 3^3 5^3 7^3 11^3 13^3 17^3 19^3
5 2^5 3^5 5^5 7^5 11^5 13^5 17^5 19^5
7 2^7 3^7 5^7 7^7 11^7 13^7 17^7 19^7
11 2^11 3^11 5^11 7^11 11^11 13^11 17^11 19^11
13 2^13 3^13 5^13 7^13 11^13 13^13 17^13 19^13
17 2^17 3^17 5^17 7^17 11^17 13^17 17^17 19^17
19 2^19 3^19 5^19 7^19 11^19 13^19 17^19 19^19
The numbers above are a representation of Godel Numbering one layer
deep. Each equation represents a box that holds a pixel or a star or a one or
a zero. Stacks of these X-axis primes by Y-axis exponents (stacks of
database pages) can represent the layering of a three dimensional pixelated
model that can be summed up by multiplying together the
(integer recursion)*(primeX)^(primeY) three perpendicular axis pixel points,
resulting in one large binary number that when translated into base 10 and
factored into its prime components looks like a one to one translatably
reproducable three dimensional image or star-chart, useful for virtual
reality avatars and astro-navigation.
Even pre-specified character or operator maps can be defined to use
instead of pixels. Other dimensions can be added such as colors and
associations too. This example above could form an eight pixel by eight
pixel configuration that could be layered eight pixels deep or however
many show up in duplicity of prime exponential primes' particular
positions. The thing is that if prime numbers are not used
then the binary output equivalency doesn't translate or reproduce the same
image. This uses prime numbers to form an X axis and a Y axis such as
coordinates in a database that can be multiplied together and later factored
back to how it started out as. It can use hyper polynomialization
(like double-pi-bar notation) such as
(19)^{...[...(19(^19(^19))]^[...(19(^19(^19))]^[...(19(^19(^19))]}...
Where each exponent of an exponent represents another perpendicular dimension.
This also could be used to represent a trail of breadcrumbs spiraling
or rather orbiting through multidimensional space such as spirals around
spirals around spirals, etc such as with Sine Spiral Graphing in
Trigonometry. Every three stars has a balance point between them.
Also, it could represent a binary decision tree represented by a barcode
sequence registered to a particular question map reference number, like
for doing inventory of products on the shelves of a store. It could also
be used for doing quantum computing where each 3D database box gets
treated like one unit in a larger 3D database box which gets treated as
one unit in a larger 3D database box, and so on.
Monday, April 4th, 2009 Common Era. Justin M Coslor