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

[SheldonCooper13]

in what geometry would a cube of circles be possible

 

[PeroK]

Circular cubism?

 

[Mark44]

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.

 

[fresh_42]

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: ($\sim 3,000 - 2,000 \text{ BC}$)

 

[Baluncore]

in what geometry would a cube of circles be possible

The 3D Fourier transform of a square wave.