As the title itself mentions - why are pointer to a reference illegal, while the reverse is legal in C++?
A pointer needs to point to an object. A reference is not an object.
If you have a reference r, once it is initialized, any time you use r you are actually using the object to which the reference refers.
Because of this, you can't take the address of a reference to be able to get a pointer to it in the first place. Consider the following code:
int x;
int& rx = x;
int* px = ℞
In the last line, &rx takes the address of the object referred to by rx, so it's exactly the same as if you had said &x.