Alternative to this code

I have a snippet of code like this:

struct a
{
    a *b;
    a()
    {
        b = new a;
    }
};
int main()
{
    a x;
}

It gives a Segmentation Fault as expected, because in the statement

b = new a;

It recursively defines the same structure over and over again, hence giving a segmentation fault.

gdb also tells me the same thing. Segmentation fault in malloc().

Starting program: /home/epsilon/m 

Program received signal SIGSEGV, Segmentation fault.
0xb7d6f507 in _int_malloc (av=av@entry=0xb7ea4420 <main_arena>, 
    bytes=bytes@entry=4) at malloc.c:3302
3302    malloc.c: No such file or directory.

So, coming to the question,

Is there an alternative to this code?

That is, can this code be rewritten in such a way that it does not give a Segmentation Fault?

EDIT:

I am just asking this for learning purposes. This can be nearly emulated a linked list, but is there another way to do this?

^{P.S. Sorry for my incorrect language. I'm not good with words.}