ANALYSIS OF THE ARRANGEMENTS OF 2 ATOMIC VARIETIES AND AN ALGORITHM FOR DERIVING PLANAR CENTERED CELLS FOR 3(6)-NETS

An algorithm for obtaining and calculating the arrangements of two ato mic varieties in a one-dimensional periodic row is suggested. An algor ithm for deriving planar centered cells an a regular trigonal 3(6) net that reduces two-dimensional cells to one-dimensional rows is develop ed. In most cases, centered three-dimensional cells may be reduced to two-dimensional cells; this facilitates analysis and comparison of str uctures. Variants of periodicity ''degeneration'' for one-, two-, and three-dimensional cases are analyzed. Reduced planar centered cells fo r n = 2-12 (n is the number of sires in the cell) are described.