The Tribonacci Substitution
Sierk Rosema, Rob Tijdeman · 2005
We study the discretised segments generated by the iterated Tribonacci substitution and the projections of the integer points on them to some plane. After suitable transformations we get a sequence of finite two-dimensional words which tends to a doubly rotational word on Z2. (Without scaling we would get the Rauzy fractal). As an introduction we start with the corresponding case of the Fibonacci substitution.