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

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SUMMARY

The discussion centers on a geometric dissection where a square is sliced into four pieces to create an unfolded net for a cube. The author successfully reconstructed their original drawing, demonstrating that this dissection can be achieved with only four pieces. Participants express curiosity about whether this dissection can be accomplished with fewer pieces, indicating an interest in optimizing geometric dissections.

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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?
 
Last edited:

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