Radial chain of equal hyperbolic discs
= Radial chain of equal hyperbolic discs
Hyperbolic discs of area $\pi/2$ have radius $\log2$. Starting at the origin and placing their centers successively along one radial geodesic gives center distance $n\log4$ and Euclidean coordinate
$$
r_n=\frac{4^n-1}{4^n+1}.
$$