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

  • B
  • Thread starter Thread starter Helios
  • Start date Start date
  • Tags Tags
    Cube Square
Helios
Messages
267
Reaction score
63
TL;DR 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!

cubenet.jpg
 
  • Like
Likes bob012345, mfb and Ibix
Mathematics news on Phys.org
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 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

B Sympathetic motion generated by cleaning Rubik's cube
Replies
10
Views
434
What Does Mathematical Sameness Mean?
Replies
7
Views
3K
Can a Flatlander See More Than 2 Sides of a Cube at Once?
Replies
1
Views
3K
Can Einstein's Equations Enable Time Travel?
Replies
17
Views
2K
Can 3D Modeling Bring Classic Star Trek and Looney Tunes Together?
Replies
7
Views
3K
I Three inertial particles: Separating the twins from the paradox
Replies
40
Views
4K
How can I negatively charge a piece of lead? (A Skeptic's question)
Replies
6
Views
2K
The Scientist as Hero - or not
Replies
1
Views
3K
The Folding Challenge - how low can your ratio go?
Replies
3
Views
5K
Current and Future AI Threats to Humanity and the Human Response
Replies
10
Views
4K

Hot Threads

Recent Insights

Back
Top