Hi!
My name is Michael Thudén and I'm an inventor (not a real mathematican or
biologist) but think I have stumbled across something that might be of
interest. It's a simple symmetrical geometrical binary model that can do
arithmetic, (the division and multiplication are clumsy, but I wanted to
show that it works), represent Boolean functions (corresponding to subsets
in binary-trees), and express some sort of memory. The system also has the
ability to be used as a binary coordinate system, meaning that arithmetic,
Boolean function and memory can be used in a plane or space context
regarding different positions.
The system can be expanded into a three dimensional binary-sphere that have
some remarkable symmetrical properties (beside those described above)
corresponding to biological cells. For example: the binary-sphere can only
be divided symmetrically into two binary-spheres starting from a
equatorial-plane perpendicular to the two poles. A biological cell also
divides starting from the equatorial-plane perpendicular to its poles. The
two "new" binary-spheres will consist of one half from the "old"
binary-sphere and a new constructed half, exactly as in a biological cell
where one half of the "new" cell is from the "old" cell and the second half
is new.
Further more: the binary-sphere can use the "binary-coordinate" system in
assembling divided binary-spheres to each other. It's easy to make a
"genetic" binary code that generates radial, spherical and bilateral
symmetries (the binary sphere is by itself bilateral). To make bilateral
symmetries it's even possible to use the same code for the left and right
side (there's no need to have a separate code for each side).
So if you think this sounds interesting go to my site
http://members01.chello.se/rocker/telia/bin/eindex.htm and check it out.
This is a pure mathematical approach and though it's been a while since I
studied math at university the math is stable according to some "real"
mathematicians that's been checking it out.
I hope that you find the reading interesting, in spite of my poor English.
I'm grateful for all constructive criticism, which also include the
linguistic part.
Michael Thudén