For assignment 12, I am asked to do one of the 12 explorations. I chose to do number 7, which was to place 4 numbers in the columns a1,b1, c1, and d1. the exercise then asked me to explore the |a - b|, |b - c|, |c - d| and |d - a|.
An example of this follows below:
All the entries became 0 by the seventh row. The next example uses different values.
Again, the process generated zero's by the seventh row.
This pattern went to the ninth row.
This pattern generated a row of zeros in the eleventh row. More patterns will be tried if time permits.