This Demonstration generates solutions of the functional equation starting from . The solutions correspond to Stern–Brocot tree fractions at level . Change at the top for more complicated solutions. Click the " versus " button to see a plot of the computed solution depending on as a parameter, which you can vary with the "vary or " slider. Similarly, click the " versus " button and vary the parameter . Finally, click the "singularities" button to see the points where the computed function is not defined. The color-coding of those points helps identify where the parts of the solution originated.