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

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A geometric dissection was successfully created by slicing a square into four pieces to form an unfolded net for a cube. The original creator rediscovered and reconstructed this drawing after many years. The discussion raises the question of whether this dissection can be achieved with fewer pieces. Participants express interest in exploring the possibility of a more efficient dissection. The conversation centers on the challenge of minimizing the number of pieces while maintaining the integrity of the geometric transformation.
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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!

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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:

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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