Specifying the transformations

Currently, one algorithm for transformation is proposed. Upon each iteration of the state:

• if a variable has an increment that is non-zero, that variable will change its magnitude by that increment.
• if a variable of a segment has an increment that is zero, that variable will repeat its magnitude.

Every variable within a segment is given an initial value, minimum and maximum limits, and an increment. Thus, every variable that has a non-zero increment has a cycle length of:

$$cycles~=~{{2\,\left( {\it max} - {\it min} \right) }\over {{\it increment}}}$$

After cycles number of iterations, the variable returns to its initial magnitude.

This suggests possibilities of experimentation with concomitant cycles that:

• have the same length, but different minima and maxima.
• have different lengths, but the same minima and maxima.
• have lengths that are integer multiples of each other, i.e., that follow the harmonic series.
• have lengths that are relatively prime.

To be explored is application of the above criteria simultaneously to all segments within a state, and to all variables within each segment.