Fill Curve Cube without intersecting parts I created a cube out with just Curve paths and filled it as shown at the screenshot. But this mode creates intersecting parts (Screenshot 3-4)
Is there a way to do this without intersecting parts?
Well,This expected from what you did.There is no way to solve this.

Instead you can use the Wireframe modifier to generate a similar result.



You can also flatten the face to get a more neat result:



Flatting can be done using the keys S + Axis + 0 after selecting the right faces.