I was reading a paper on hyperbolic pascal triangle and the author stated that for Schlafli symbol $\{p,q\}$ , if $(p-2)\phantom{\rule{thickmathspace}{0ex}}(q-2)=4$ , it determines the Euclidean mosaic. For $(p-2)\phantom{\rule{thickmathspace}{0ex}}(q-2)<4$ a sphere is determined and for $(p-2)\phantom{\rule{thickmathspace}{0ex}}(q-2)>4$ a hyperbolic mosaic is defined.

On the nature of mosaic specified by Schlafli symbol $\{p,q\}$ ?

On the nature of mosaic specified by Schlafli symbol $\{p,q\}$ ?