On The Symmetric Intersection Of Rauzy Fractals Associated With The K-Bonacci Substitution

In this article, we study the intersection of Rauzy fractals associated with the k-bonacci substitution and its reversed substitution. Applying the balanced pair algorithm to these two substitutions, we characterise all minimal balanced pairs, and we obtain a general formula for the associated intersection substitution. This substitution is defined over k(k+1)/2 letters.