I tried twice to use Photofly to make the model.
In both instances, the path I used was a circle, rounding the top, then down around the base.
First attempt, using a black background:
The result was a relatively clear model of only two sides.
Second attempt, using a patterned background:
The second attempt produced a model with four good sides. You can see that the path was again misinterpreted by the program.
In any case, these incomplete models couldn't be easily used to piece together a full cube. Eventually, after a lot of trying, this method was abandoned.