Article Title

Cyclic Difference Words


Rex Gooch


As discussed in "Word Arithmetic" in the November 1996 Word Ways, there are two ways to construct difference words. The first was examined in detail in "Absolute Difference Words" in February; the second is the subject of this article. Briefly, a cyclic difference word is formed form a source word such as VASE ( by subtracting the ith number from the (i+1)st, if necessary adding 26 to the latter to make them different positive (5 = 27.22, 18 = 19-1 = 31-19, yielding the target word ERL).