User blog comment:Tetramur/Pentational arrays and beyond - comparisons/@comment-37993808-20200108154849/@comment-37993808-20200112164715

Bowers again:

"Something strange happens with X^(X^^X), think of the X^^X as though the bottom X has been removed, so X^X^X^X^X.... becomes (x)^X^X^X^X^X...... where the (x) is the removed bottom X, it is used as a place holder only.  so when the prime block is 3, it becomes (3)^3^3 where the (3) is only a place holder and the exponent becomes 3^3."

But... no clues how to solve, for example, X^(X^^X+1) vs. (X^^X)*X.