Can a Square be Dissected into a Cube with Fewer Pieces?

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Helios
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TL;DR
A Square to Unfolded Cube Geometric Dissection
Dear Recreational Geometry People,
I recovered a thing I did very long ago from a drawing of mine that I fortunately just found again. With some effort I was able reconstruct what I did and redraw it. It is a geometric dissection. The task is to slice up a square and use those pieces to make a unfolded "net" for a cube. I did it in just 4 pieces!

cubenet.jpg
 
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Helios said:
Summary:: A Square to Unfolded Cube Geometric Dissection

Dear Recreational Geometry People,
I recovered a thing I did very long ago from a drawing of mine that I fortunately just found again. With some effort I was able reconstruct what I did and redraw it. It is a geometric dissection. The task is to slice up a square and use those pieces to make a unfolded "net" for a cube. I did it in just 4 pieces!

View attachment 268201
Very nice! Can it be done in less?
 
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