© Copyright 1993 Mario Hilgemeier
When the DNA is decoded, the chain of its four bases is interpreted to produce proteins which can influence the enviroment. These proteins may be considered as a "meaning" of the DNA. For instance, enzymes, hair and nails are made of proteins. Seen chemically, proteins are strings of amino acids which are folded in three dimensional space to give rise to the most complex forms. The folding is governed by the attraction between certain parts of the amino acids and the environment of the protein molecule. The DNA is interpreted by ribosomes. Ribosomes are cell particles that work with partial copies of the DNA to produce proteins. Each triplet of DNA bases can be the code for an amino acid or a control sign like "stop here". Again, there is an iterated system (the cell with its DNA in a biological context) that produces beautiful fractals .
Molecular scientists often use "folding" programs to join particular regions of a linear sequence into a 2-D pattern. Can you fold any of the longer strings of the Gleichniszahlenreihe, let's say the 23rd iteration or so? Are there beautiful 2-D (or even 3- D) foldings of the Gleichniszahlenreihe? You can use the following laws (or a variation of them) as attracting force: - equal ciphers (or elements) attract with a strength of 1 - a pair of mutually attractive ciphers attracts stronger than single ciphers, a trio more than a pair and so on. - the "bonds" between the ciphers cannot be overstretched (else they would break up the "chemical bond") - different ciphers (or elements) repel each other.next page content page
Figure (7.)9 I've tried to fold the element 4Be, which is one of the two longest elements. The result is shown in figure 9. Thin dashed lines represent weak bonds between the ciphers. The fat lines denote the order of the string (strong bonds). Note the shorter strong bonds between equal ciphers (because of their attraction). The folding is essentially governed by the weak bonds. Can you find similar patterns for other cipher (or element) strings? I've shown a folding in the plane (two dimensions). What happens if three or more dimensions are allowed?
© Copyright 1993, Mario Hilgemeier, email: contact