B What would need to be possible to make a cube of circles?

SheldonCooper13
Messages
5
Reaction score
0
in what geometry would a cube of circles be possible
 
Mathematics news on Phys.org
Circular cubism?
 
Reply
  • Haha
Likes SammyS and berkeman
SheldonCooper13 said:
in what geometry would a cube of circles be possible
None that I can think of. A cube is a three-dimensional object, while circles are two-dimensional.
 
SheldonCooper13 said:
in what geometry would a cube of circles be possible
It is possible in topology where a sphere that can be considered as an infinite collection of circles is equivalent to a cube. Geometry means that we can measure angles and lengths. This makes it impossible to get something edgy out of something round.

Not that we haven't tried: (##\sim 3,000 - 2,000 \text{ BC}##)

d9GcReQEauioNj31F70jKoM3As9mate3FM5YC6z5prJFuzSQ&s.jpg
 
SheldonCooper13 said:
in what geometry would a cube of circles be possible
The 3D Fourier transform of a square wave.
 

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

I Higher Dimensional Spheres viz. Cubes
Replies
1
Views
1K
I Doubling a Cube: Can 3D Geometry Help?
Replies
4
Views
2K
I A way to comprehend the geometry of a hypercube
Replies
2
Views
2K
MHB What is the formula for finding the area of a circle?
Replies
2
Views
2K
B Circle tangent to two lines and another circle
Replies
2
Views
2K
B Can a Square be Dissected into a Cube with Fewer Pieces?
Replies
1
Views
1K
B Inscribing a circle in an Oblique Square (Drafting)
Replies
9
Views
1K
B Need some clarification to get dimensions for a volume
Replies
5
Views
2K
B Strange Relationships of the Circle
Replies
10
Views
1K
B Angle of the diagonal of a cube
Replies
21
Views
4K

Hot Threads

Recent Insights

Back
Top