...which is one less than the three it would take to represent points on a sphere in cartesian coordinates.
If you want me to describe the curve itself, you are essentially asking for an embedding - there are infinitely many of those, and they will depend on the dimension and coordinate system of the superspace.
Of course it's impossible to explicitly describe an embedding without reference to the superspace, but that only goes for one level - you can ignore said superspace when describing the interior of the subspace.
If you want me to describe the curve itself, you are essentially asking for an embedding - there are infinitely many of those, and they will depend on the dimension and coordinate system of the superspace.
Of course it's impossible to explicitly describe an embedding without reference to the superspace, but that only goes for one level - you can ignore said superspace when describing the interior of the subspace.