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Can you wire the cube? This is the question to be answered!

You’re planning to make the wire 2015-06-16-cube-route.pngskeleton of a cube by arranging 12 equal lengths of wire as shown and soldering them at the corners.

It occurs to you that you might be able to simplify the job by using one or more longer lengths of wire and bending them into right angles at the cube’s corners.

If you adopt that plan, what’s the smallest number of corners where soldering will still be necessary?

We accept both theoretical solutions and constructions (make a photo of it and send it!).