While the fa�ade is one of the most thoroughly theorized elements of architecture, it is also one of the most questioned since the end of the 19th century. Within the discipline of architecture, the traditional understanding of the fa�ade focuses primarily on semiotic and compositional operations (such as proportional laws and linguistic codes), which are deployed on the building's surface. In contrast to this, our material and environmental theory of the envelope proposes that the exponential development of building technologies since the mid-19th century, coupled with new techniques of management and regulation, have diminished the compositional and ornamental capacities of the envelope in favor of material, quantitative, and technical performances. Rather than producing a stylistic analysis of the fa�ade, we investigate the historical lineages of the performances, components, assembly types, and material entanglements that constitute the contemporary building envelope.