First take one ring.
Put four rings in the first one.
Put a ring in these four.
Add two rings to the last one.
Add a ring to the upper four.
Again add two ring to the last one.
And add a ring to the upper four. You can go on like that for as long a chain as you wish.
We can now expand in the other direction by adding a ring to the lower right two rings.
Add a ring to the three lower right now.
Add a ring to three by skipping the lower one.
And finally add a ring to the upper two.