In Combinative, a word without square factor is a Mot which does not contain the same sequence twice consecutively. For any alphabet of at least three letters, there is an infinity of words without square factor.

Examples

• On the alphabet { has, B }, the whole of the words without square factor is {$\backslash \; varepsilon$, has , B , ab , Ba , aba , bab }.

• On the alphabet { has, B, C }, one can start from any word W and to replace

• has by abcbacbcabcba ,
• B by bcacbacabcacb ,
• C by cabacbabcabac .

By taking the Point fixes this operation, one obtains a infinite Mot without square factor, such as abcbacbcabcbabcacbacabcacbcabacbabcabacbcacbacabcacb … which is thus a Mot morphic.

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