This introduction to a special issue of BJHS concerned with intermedial approaches to the history of the public culture of science (those that pay attention to the forms of different science media and how they relate to each other) also stands as an argument for such approaches. It amplifies a trend within humanities and social-science approaches to its subject of studying the interactions between science, media and publics as complex historical phenomena – in comparison with evaluative research approaches that seek to make science communication more effective. It argues for the virtues of going beyond most existing scholarship in the field by considering many media together. Drawing on the work of media studies scholars Irina Rajewsky and Klaus Bruhn Jensen, it introduces working definitions of intermediality. It then explores historically the genealogies of intermediality, which emerges as an entanglement of changing disciplines, technological change and media practice. Two brief sections take the example of museum display in this intermedial context with the aim of showing first that museum practice was already intermedial before it was considered to be ‘one of the media’. It then concludes by showing how, and in what circumstances, the mediatization of museums came to seem necessary.