> whilst the mapping (theta, phi) —> (x, y, z) is continuous, it isn’t uniformly so… or something like that. The term is "measure preserving". The mapping is

> whilst the mapping (theta, phi) —> (x, y, z) is continuous, it isn’t uniformly so… or something like that. The term is "measure preserving". The mapping is continuous but it doesn't preserve the length of intervals projected through it.