How to fold your own fold flat cube.
Start with the omega star unit by Philip Shen
If you get stuck please see the post on the sun wreath for more detailed instructions.
Fold four units.
Construction:
Same as the omega star opposite arms of the unit are tucked in (Not shown in picture as I tuck the needed arms as I go).
The way that the units lock together is also exactly the same (please see @ivan-g post if help is needed on how the units join).
The difference is number of units and the fact that two adjacent arms for each unit are connected together in a tabby weave pattern (One arm over the opposite arm under.)
To create the cube appearance pinch the sides into the centre.
To create the fake omega five pointed star fold the edges into the centre creating pointed arms. Fold the model flat such that there are little gaping mouths in each corner. Pinch the bottom left corner of the top face to meet the top right corner. This will swing one of the side facing points to the front in that pentagon shape.
Why is it a fake star? Because it only looks like a star from the front and back the side looks like this:
Folding it into a star does not prevent the whole model from folding flat so have fun.
Happy folding, Grace.