Here is the final cube from the book 'Modular Origami Polyhedra'. The Ninja Star Cube is also made from 12 modules. The one I tried is the second cube. This one is a bit more ornate than the original ninja star cube. It has got a couple more folds which gives a little variety to the folds.
Each face of the cube has the shape of the star in the middle. The star is clearer in the next picture.
Model Details:
Model: Ninja Star Cube
Creator: Lewis Simon
Book: Modular Origami Polyhedra
Author: Lewis Simon, Bennett Arnstein, Rona Gurkewitz
Difficulty Level: Low Intermediate
Paper Ratio: Square
Paper Size: 3 inches
Model Size: Square cube with approximate side of 2.25 inches
Modules: 12