In my article "Single and Double Transposal Squares" in the May 1980 Word Ways, I generalized the concept of word square, allowing one to rearrange the letters in each row and column to form a word. Double transposal squares of size three are ridiculously easy to construct. The one on the left below is perhaps the commonest one, consisting of six words each having more than a thousand occurrences in Kucera and Francis's Computational Analysis of Present-Day American English (1967): man 1207, him 2619, its 1858, was 9816, who 2252, not 4609.
Eckler, A. Ross
"A New Kind of Transposal Square,"
Word Ways: Vol. 32
, Article 11.
Available at: https://digitalcommons.butler.edu/wordways/vol32/iss3/11