N-Gram Tables

Layout of the figures in the tables: Dividing by a number larger than the base in which the division is being done "over-drives" the calculation. There are not enough distinct digits to "hold" the pattern. Within that base, the pattern could be called chaotic. Consequently, each row in each of the tables starts with the figures for which base and divisor are the same. In the table organized by number base, each row represents patterns formed in a single base. The divisor decreases by one with each new figure across the row. Rows are offset to emphasize the line at the center of all paired N-Grams. In the table organized by divisor, each row represents patterns formed from a single divisor. The base in which the calculation is being done increases by one with each new figure across the row. Rows are offset to emphasize the symmetries in the triangle formed by the figures for which the base equals the divisor and the figures for which the base is twice the divisor.

Simple patterns recur in the more complex patterns. Dyads are part of every second figure in every second row. Triads take two different forms, each appearing as part of one out of three figures in two out of three rows. Tetrads occur every fourth figure in every fourth row (bases 5, 9, 13, ...).