5.
Variant of the
construction of canonical amino acids system without a dodecahedron

5.1. Construction
of system of 20 elements without a dodecahedron

There is a possibility of construction of system of
amino acids without use of a dodecahedron. We offer a variant of such a system of 20
elements. In principle, the entire procedure repeat the version of the
construction on the dodecahedron. Someone may like this version more. Figure 23
shows the partition of the three planes of antisymmetry.

.

Fig. 23. Planes of antisymmetry for construction
of system of 20 elements without the dodecahedron. I - a plane of quasi-mirror antisymmetry; II - a plane of not mirror antisymmetry; III - a plane of rotary antisymmetry. |

The sequence of
construction of system of 20 elements without the dodecahedron is shown in
figure 24.

Fig. 24.
Stages of construction of system of 20 elements without the dodecahedron. a - elements
A, B, –A, –B in the plane I; b -
symmetric elements of type A on a vertical parallelepiped; c -
symmetric elements of type B on a horizontal parallelepiped; |

5.2. Construction
of system of 20 side chains of amino acids without the dodecahedron

We also examined a variant of an arrangement of system of the side chains of
amino acids without the dodecahedron. Consecutive
stages of construction of this system are resulted without comments on figure 25, a-d.

a |
||

Fig. 25.
Consecutive stages of construction of complete system of 20 amino acids without the
dodecahedron. a - amino acids
of 1 and 2 subgroups; b - amino
acids of 3 subgroups on a vertical parallelepiped; c - amino
acids of 4 subgroups on a vertical parallelepiped; d - complete system of four subgroups of amino acids. |

The system of amino acids without the dodecahedron
also consists of four subgroups which can be connected by transformations of
alpha, beta and gamma types and their combinations. However, in contrast to the dodecahedron,
it loses one important property: the relationship with the dodecahedron, ensuring
the integrity of the canonical set of amino acids. In more details these
questions will be discussed on our page: http://vector-machine.narod.ru/index_e.htm

Адрес для связи: amino-acids-20@yandex.ru

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