The relationship between word games and mathematical recreations is well-known. Martin Gardner has often described them in his "Mathematical Games" column in the Scientific American. The editor of WORD WAYS, in his recent book BEYOND LANGUAGE, has derived logological structures from mathematical ones.
Castown, Rudolph W.
"The Arithmetic of Word Ladders,"
Word Ways: Vol. 1
, Article 15.
Available at: https://digitalcommons.butler.edu/wordways/vol1/iss3/15