This spelling has been seen several times through-out history. Examples include Queen Alexandra of England (a princess originally from Denmark married to King Edward VII) whom was commonly called Alix. Another example of an Alix in European history is Russia's former Tsarina Alexandra Romanov (originally a German princess/granddaughter of Queen Victoria, married to Nicholas II)who also used Alix instead of Alex in everyday life.
Today Alix is generally employed to describe one of the better individuals you will ever have the pleasure of meeting. Alix: a common and plain name made spunky and unique once more merely by changing a single vowel.
"It is Alix... with an 'i'"
"You know Alix, with an 'i', like as in A-l-i-x"
"Oh... that's kind of weird, eh?"