Step 1: In silicates, connectivity is described by how many corners (oxygen atoms) each \(\mathrm{SiO_4}\) tetrahedron shares.
Step 2: Orthosilicates (nesosilicates) have isolated tetrahedra \(\Rightarrow\) share \(0\) corners.
Step 3: Pyrosilicates (\(\mathrm{Si_2O_7^{6-}}\)) have two tetrahedra sharing one oxygen \(\Rightarrow\) share \(1\) corner.
Step 4: Cyclic silicates (\(\mathrm{(SiO_3)_n^{2n-}}\)) form rings where each tetrahedron shares two corners \(\Rightarrow\) \(2\).
Step 5: Sheet (phyllo) silicates (\(\mathrm{(Si_2O_5)_{n}^{2n-}}\)) have extended sheets with each tetrahedron sharing three corners \(\Rightarrow\) \(3\).
Thus the sequence is \(0,1,2,3\).