- #1
SheldonCooper13
- 5
- 0
in what geometry would a cube of circles be possible
What would need to be possible to make a cube of circles?
In summary, to create a cube of circles, it would require the ability to arrange and manipulate circular shapes in three-dimensional space, ensuring that they conform to the geometric properties of a cube. This would involve defining the radius of the circles, the spatial distribution to maintain a cubical structure, and the potential for the circles to intersect or remain distinct while still embodying the essence of a cube. Additionally, considerations related to the material properties and the methods of assembly would be essential to achieve this design.
- #2
- 27,982
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Circular cubism?
- #3
Mark44
Mentor
- 37,794
- 10,187
None that I can think of. A cube is a three-dimensional object, while circles are two-dimensional.SheldonCooper13 said:
- #4
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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.SheldonCooper13 said:
Not that we haven't tried: (##\sim 3,000 - 2,000 \text{ BC}##)
- #5
Baluncore
Science Advisor
2023 Award
- 15,660
- 9,400
The 3D Fourier transform of a square wave.SheldonCooper13 said: