Abstract: Thermally collapsible core of three to five solid carbonaceous segments of generally equal volume and of wedge-like shape arranged around a collapse axis of the core in narrowly spaced apart relation to each other. Core includes spacers occupying a minor portion of the narrow spacing nearest the external periphery of the core and which are made of metal, glass, ceramic or mixtures thereof having a melting point below the highest temperature to which the core is subjected by molten material solidifying therearound, e.g. fusion-cast refractory. The segments are the larger parts of the core. Heat transferred from solidified molten material to core causes spacers to melt and allow segments to collapse inwardly toward collapse axis to accommodate cooling shrinkage of casting without cracking. Melted spacers can drain downwardly out of core. Design yields highly quenched microstructure in fusion-cast refractory, which is especially beneficial in tap hole blocks for steelmaking furnaces and vessels.