ORGN 671 |
| A chain of six consecutive triangles, each representing a molecular subunit of a biopolymer, is the basic (translational) unit [Congruence (mod 6)]. Six of such units, when placed in a direction perpendicular to the axis of the chain, form a (6 x 6)-matrix. This matrix is the basic (planar) unit, which has several symmetry properties. Column 1 and Column 5 are all prime numbers, except 25 (= 5x5) and 35 (= 5x7); thus, they are mirror symmetric with respect to Column 3, [Translational symmetry of the chain]. Triangular numbers T3 through T8, which represent the planar expansion of the chain, are mirror symmetric with respect to the axis of the chain. However, they are asymmetric with respect to T2 (Column 3). The basic (planar) unit represents the asymmetry of the surface covered by the translationally symmetric chain. We identified the DNA tetrahedron, the tRNA hexahedron, and an icosahedron of the DO group (of proteins, [1], [2]). These three polyhedra are punctuated by triangular numbers Ti (i=1,..,8) and their sums (Ti + Ti-1). These "symmetry codes" are for: (1) DNA to tRNA "transcription" (DNA code), (2) tRNA to amino acid "translation" (tRNA code), and (3) (DO group) "transformation" as organization of amino acids for "functional structure of proteins. [1] Polymer Preprints (1999) 40(2)1146-1147. [2] Polymer Preprints (2000) 41(1)279-280. |
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Asymmetric Reactions, Combinatorial Chemistry, Molecular Recognition and Self-Assembly, Proteins, Peptides, Amino Acids and Enzyme Inhibitors
8:00 PM-10:00 PM, Wednesday, March 28, 2007 Hyatt Regency Chicago -- Riverside Center, Poster
Division of Organic Chemistry |