Nested six-point stars: least number of cuts to dissemble

Question

The puzzle is as follows:

The figure from below represents a peculiar structure which consists in congruent triangles whose sides intersect and is made of an iron wire. How many cuts passing through all the dots showcased can be made at minimum to get the whole structure unassembled? Assume that a cut through any of the edges or vertex it can separate the wires passing through that vertex. Also assume that it is allowed to move the pieces from its original position after the dissection has been made. Also assume that folding of this structure is not allowed.

The choices given are:

1. 4
2. 3
3. 5
4. 6

This dissection puzzle is more complicated. I've attempted several ways to dissemble the structure but I get more cuts than what it is offered in the choices. Where could those cuts be made?

I think there's an implicit clue that the intended approach does now allow bending the structure. Hence only allowing cutting by diagonals.

I've attempted all sorts of ways for more than an hour or so. Thus I am requesting help, and I would appreciate a diagram for where to make cuts. Is there any general guideline for how to solve this type of problem?

For reference I found this in a collection of Puzzles challenges. From the looks of it seems to be an adaptation from an APA IQ exam of the late 1970s or mid 1980s from an older Leon Thurstone or Wechsler exams of intelligence.

Answer 1

You could solve it using

6 cuts

As following:

Answer 2

I considered that:

1. The cuts are straight;
2. I'm able to cut multiple wires at the same time;

So considering the basic shape, I first cut it in half (since it's symetrical let's assume I cut it following a horizontal line), I obtain this shape:

Now I superpose the two figures and cut them in half again:

Now I reckon that two more cuts are necessary. So only 4 cuts.

But maybe somebody can figure out a way yo do it in three!