Fractal properties of MV-algebra pastings

We implement the fractal construction process to the MV-algebra pastings. Pasted MV-algebras generate special types of difference posets (D-posets). We compute the dimension of new fractal D-posets and show that the fractal structures discussed in this paper have a non-integer fractal dimension. Furthermore we observe an interesting agreement between the fractal dimension of the classical linear fractals (Cantor sets, Koch curves) and the dimension of fractal D-posets (Cantor fractal D-posets and Koch fractal D-posets).