Abstract: The science of architectonics, the study of architectures, appears to be "missing". Relatively little attention is paid to overall systems architectures. The paper presents means and methods for identifying and transferring knowledge between different architectural domains, from hill-forts, medieval castles and animal architectures, to SDI and industrial organisation, so as to understand and enhance performance, survivability, effectiveness and efficiency. Isomorphisms and archetypes relating many different kinds of architectures are presented, with examples of architecture evolution using simple genetic algorithms. The paper illustrates some of the simple mathematics of architecture, identifies some invariants, presents hard examples of real benefits to CIS from architectonics, and recommends the adoption of architectonics as highly beneficial to the CIS community, not least in the development of auto-adaptive architectures.