Despite Muetterties' model making several simplifying approximations, such as using idealised geometries, it proved successful in addressing questions of interest at that time such as explaining the thermally facile stereoisomerisation phenomena referred to as fluxionality. A key feature of the model is that, in addition to systematically describing the target coordination geometries, it mathematically encodes the relationships between them and provides insight into possible unimolecular stereoisomerisation mechanisms. Notwithstanding these successes, the Muetterties model is not comprehensive and only approximately describes a very small subset of the full scope of possibilities within each complete ABn "configuration space". Later developments have mapped out larger regions of the configuration spaces but these, too, are not comprehensive. Herein we demonstrate how a full angular configuration space is generated and analysed.