  Mixed labyrinth fractals are dendrites in the unit square introduced by
Cristea and Steinsky. They were studied recently by Cristea and Leobacher with
respect to the lengths of arcs in the fractals. In this article we first give a
construction method for mixed labyrinth fractals with the property that all
arcs in the fractal have box counting dimension 2. Subsequently, we show how a
certain family of patterns can provide a mixed labyrinth fractal of any box
counting dimension between 1 and 2, which also coincides with the box-counting
dimension of the arc between any two distinct points of the fractal. Finally,
we show how the results can be extended to a more general setting.
