The Genetic Code - 17 short files Mathematical patterns in assignment of codons to amino acids
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 7. Pyramids of numbers 1. An elementary chain:              0 - 1 - 2 - 3 - 4 - 5 Sums of pyramids 208 + 176 = 384. Compare number 385, the amino acids changing position from G+C-group to A+U-group and the reverse from 1st base order to 2nd base order: Note: Pyramids not complete, last step 2 → 1 → 0 (8-2-0) not included in number 208.    See subsets 132 , 88: GA = AG = 132. GU + AC = 88 = UC + CU. 2. If the number pyramid for 208 is developed with step 2-->1: 158 + 1 = pure G-C-codons: GG+GC+CC+CG 574 + 1 = pure A-U-codons: AA+AU+UU+UA 3. Expanded pyramid on the chain 2x2 including a step 5-6     and the "orbital series" as intervals (instead of the cumulative series above): - 1504 = 24 ams R - 886 = 704 + 182 = ½ x 24 ams, B-chains - 752 = 460 + 292 = ½ x 24 ams, R-chains (Cf. numbers of the Exponent series.) - 1638 = ½ x 3276, 24 ams R+G - 1368 = ½ x 2736 = 20 ams R+B, +1 - 544 = G+C-coded ams R   960, 2 x 480, = A+U-coded ams R - If the left pyramid is completed,we get 864 + 480 = 1344:   1344 = 24 ams B-chains in peptide binding à 56 A. - Inner part of the left pyramid:                208        320 + 208 = 528 = Z-number A+U-coded ams                320                112        320 + 112 = 432 = N-number A+U-coded ams. How then derive a 6th step as expression for a 6th dimension, if we keep to the fundamental hypothesis or conceptual structure of 5 elementary ones?    We could presume the triplet of the superposed level, 9-7-5, divided in triplets 654 + 321 e.g.? 4.   1234 as another kind of pyramids: *

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Table 24 ams A, Z, N

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