The changes to the topological and chemical ordering in the network-forming isostatic glass GeSe 4 are investigated at pressures up to ∼14.4 GPa by using a combination of neutron diffraction and first-principles molecular dynamics. The results show a network built from corner-and edge-sharing Ge(Se 1/2 ) 4 tetrahedra, where linkages by Se 2 dimers or longer Se n chains are prevalent. These linkages confer the network with a local flexibility that helps to retain the network connectivity at pressures up to ∼8 GPa, corresponding to a density increase of ∼37%. The network reorganization at constant topology maintains a mean coordination number n 2.4, the value expected from mean-field constraint-counting theory for a rigid stress-free network. Isostatic networks may therefore remain optimally constrained to avoid stress and retain their favorable glass-forming ability over a large density range. As the pressure is increased to around 13 GPa, corresponding to a density increase of ∼49%, Ge(Se 1/2 ) 4 tetrahedra remain as the predominant structural motifs, but there is an appearance of 5-fold coordinated Ge atoms and homopolar Ge-Ge bonds that accompany an increase in the fraction of 3-fold coordinated Se atoms. The band gap energy decreases with increasing pressure, and midgap states appear at pressures beyond ∼6.7 GPa. The latter originate from undercoordinated Se atoms that terminate broken Se n chains.