In geometry of 2D and 3D, it's not uncommon for people to call a square or rectangle a
Box in the field I work in. This makes naming things easier since it's clear what's in a folder of 'boxes'.
Does the similar name exist for a circle and a sphere? Interestingly we have circles in 3D that could be defined as the intersection of a geometric primitive with a sphere, like a plane slicing through a sphere to form a circle. However searching for a unifying name (even if it's not that good of a name) has been unfruitful.
Does a name exist for this classification? As in, a name for circular or spherical objects defined by some distance from (for convenience here) the origin?
Some things seem easy, like a hyperplane is going down a dimension, so it ends up working for almost any dimension. I was hoping there was something like this that would either work for 2 and 3 dimensions, or better, work for N dimensions.