A precise understanding of the chemical bonding in amorphous, and crystalline, chalcogenides is still lacking due to the complexity arising from the delocalization of bonding, and nonbonding, electrons. Although an increasing degree of electron delocalization for elements down a column of the periodic table is widely recognized, its influence on chemical-bonding interactions, and on consequent material properties, of chalcogenides has not been comprehensively understood. Here, we provide a chemical-bonding framework for understanding chalcogenides by studying prototypical telluride non-volatile-memory, 'phasechange' materials (PCMs), and related chalcogenide compounds, via density-functional-theory molecular-dynamics (DFT-MD) simulations. Identification of the presence of multi-centre 'hyperbonding' interactions elucidates not only the origin of various material properties and their contrast between amorphous and crystalline phases, but also the very similar chemicalbonding nature between crystalline and amorphous PCMs, in marked contrast to the existing viewpoint. This new perspective will help in designing chalcogenide materials for diverse applications from a fundamental chemical-bonding point of view.