Matrix Mathematics of Genetics 245“6x9” b2861 The Cell Language Theory: Connecting Mind and Matterof Changes). Other authors came to similar conclusions [276, 277]. The
evidences supporting this conclusion are as follows:(1) Although the genetic code is traditionally written in terms of four let-
ters, A, G, T, and C, Petoukhov and others discovered that this “four-
letter alphabet” actually consists of three sets of “binary subalphabets”,
labeled 1, 2, and 3 in Table 5.3 (adopted from Table 1 in [275]).
(2) Similarly, the alphabet of the I-Ching hexagrams is binary and con-
tains two letters, variously represented as (i) yin and yang, (ii) a broken
line, ___ , and a continuous line, ___, or (iii) 0 and 1 (see Table 5.4).
(3) As indicated in the second row of Table 5.4, each word in the genetic
code consists of three letters, while that of the I-Ching hexagram
consists of six letters, traditionally represented as a stack of six bars,
either broken (Yin) or unbroken (Yang).
(4) Despite the difference between the number of letters per word in the
two language systems (i.e., three in the genetic language and six in
the I-Ching language), the total number of words used in the two
linguistic systems are the same, i.e., 64 (see the third row, Table 5.4).
(5) The 64 words in both languages can be organized into an 8 × 8 table
or an 8 × 8 matrix, as shown in row 5 of Table 5.4.
(6) There are distinct rules for constructing the 8 × 8 tables for the 64
codons and 64 I-Ching hexagrams which are not reviewed here.
Since there are 64 elements in both the genetic code matrix and the
I-Ching hexagram matrix, it is not surprising that there will be a
unique 1:1 mapping between these two matrices. For example, the
codon CCC can be mapped to the hexagram consisting of a stack of
six unbroken bars called “qian” (meaning “force”), the codon GGG
can be mapped to the hexagram consisting of a stack of six broken
bars called “kun” (meaning “field”), and the codon GCC (in Box 27)
can be mapped to the hexagram consisting of a stack of six bars
which are all broken except the top and the bottom bars, called “yi”
(meaning “swallowing”), etc. [275]. However, there is no physical
or chemical relation between the meanings of the codons and those
of the hexagrams. In other words, although the two 8 × 8 tables in
Table 5.4 are structurally (or syntactically) similar, their semanticsb2861_Ch-05.indd 245 06-11-2017 10:48:37 AM