Mobile structures are one of directions of shaping recreational facilities. In terms of their geometry, geodesic domes and quasi-dome systems deserve special attention. Combining a system of layered self-supporting panels with the geometry of geodesic domes was part of the ReSa research and the respective implementation project carried out at the Wrocław University of Technology in 2021-2023 as part of a competition organized by The National Center of Research and Development. The article presents a detailed analysis of shell geodesic domes with different geometries. The development of 12 virtual dome models made possible to evaluate their parameters in five research areas - energy efficiency, environmental impact, support reactions, ergonomics and complexity of prefabrication and assembly process. An extensive evaluation of the parameters in each field, a summary within each domain, and a global evaluation of the shells were performed. The study allowed to develop a hierarchy of panel dome types in relation to the assumed criteria and to check the possibility of using multi-aspect, parametric evaluation. In addition, a detailed study of the geometrical parameters of the shells carried out as part of the indirect tests made it possible to identify the most effective structures in this aspect. This study has proven parametric evaluation as a tool for evaluating shell geodesic domes. It allows for flexible introduction of basic data, determination of coefficients and the use of additional weight criteria for individual research fields in relation to the assumed goal.