What visitors see in a museum display case is not just an object. It is the result of a long chain of invisible filters (what survived, what was collected, what a curator decided to show) that shape our picture of the past. This paper uses the image of a mosaic, missing many of its tiles, to explore how museums construct knowledge rather than simply presenting it, and asks what museums can do once they recognise this. Taking ancient Egypt as a case study (a field whose modern shape still carries the marks of nineteenth-century colonial collecting), this paper looks closely at one recent attempt to put these ideas into practice: the hall Searching for Life at the Museo Egizio in Turin, dedicated to the display of human remains, implemented after years of scientific study, public consultation, and internal ethical debate. The hall does not aim to resolve all the existing tensions: it offers instead a working example of how a museum can hold those tensions in view, rather than disguising them as settled. This paper argues that the way forward is to make these filters visible, turning the missing tiles of the mosaic into part of the story a museum tells.