"These matrix tables are inspired by the method used by the Peruvian chemist Oswaldo Baca Mendoza (1908-1962).
"The tables are read in this way:
The Law of Formation of nuclei generates all the horizontal series Z, is dependent on n (series of integers numbers) and a constant K = 1. In the step-to-right tables (n) it will be equal to or greater than 0. In Janet's Left-Step table, (n) will be less than or equal to (-1). The values of this series Z will serve as a constant for the second law.
"The Group Formation Law or vertical series. Its generate the numeric values of the columns either from left to right or from right to left. In system A -1: With the first law: n = 0, then Z = 1. The vertical series Zg = 1, 3 11, 19, 37, 55, 87 ... That is: 1H, 3Li, 11Na, 19K, 37Rb, 55Cs, 87Fr, 119, 169 ... Changing the values of n or Z, all the columns of the table will be obtained.
"In system A -2: With the first law: on the left, n = -1, then Z = 0. The vertical series Zg will be: 2He, 10Ne, 18Ar, 36Kr, 54Xe, 86Rn, 118Og, 168, 218. .. Similarly, changing the n or Z values, we can fills the columns of the table.
In system B -1: With the first law: for n = 0, then Z = 1. The vertical series Zg will be; 1H, 3Li, 5B, 13Al, 21Sc, 39Y, 57La, 89Ac, 121, 171 ... By varying the values of n or Z, the entire table is filled.
In system B -2: (Its mathematizes the Janet system). With the first law: on the left, for n = -1, then Z = 0.
"The vertical series Zg will be; 2He, 4Be, 12Mg, 20Ca, 38Sr, 56Ba, 88Ra, 120, 170, 220 ... By varying the values of n or Z, the entire table is filled.
The third law of the limiting the periods or periodic law, appears graphically, by comparison between rows: For example: in table B -1, in column Z = 3, after 1H and 2He, en of the first horizontal line, the value 3 appears, which is already entered in the first column as 3Li, therefore, that part of the first horizontal row (from 3 to 50) is deleted.
"The same happens with the number 5 in column 3, which is already in the first column as 5B, therefore it will be deleted in the second row from 5 to 52. The same applies to pair 13, 21 of the column Z = 9, same, with the pair 39, 57 of the column Z = 19 and of the pair 89, 121 of the column Z = 33. For that reason the periods: P are duplicated function: 2 (1 ^ 2), 2 (1 ^ 2), 2 (2 ^ 2), 2 (2 ^ 2), 2 (3 ^ 2), 2 (3 ^ 2) .... = 2, 2, 8, 8, 18, 18, 32, 32 ... and the forms are exact and staggered.
The colors represent the quantum functions: s (red), p (orange), d (yellow), f (green), g (blue)."
Read the book here (in Spanish).