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The aim of the article is to describe the historical background and the birth of a relatively new discipline consisting in the digital evolution of classical stereotomy. “Stereotomy 1.0” comprises the early development of the discipline primarily related to stonecutting. The new discipline, “Stereotomy 2.0” goes beyond this early concept to embrace contemporary design paradigms and materials. It is described in an “Unfinished Manifesto”, which describes its fundamental theoretical principles, understood as a new didactic comprehensive approach for the schools of architecture and a new design process useful for contemporary architectural design. Each point of the Manifesto is described in a short paragraph and shows the most important theoretical nodes of the renewed discipline. The various points are then exemplified by the experimental projects presented in the final part of the article. [ABSTRACT FROM AUTHOR]