Muqarnas is one of the key identity-forming elements in Iranian-Islamic architecture, serving as both a structural component that fills the transitional zones between walls and domes as well as a decorative element derived from the same structural composition. This paper introduces a method for automatically generating muqarnas patterns parametrically and presents our findings indicating the relationship between subjective perceptions and objective characteristics of muqarnas. Our primary goals are optimizing muqarnas forms and attaining new, better-performing, and more efficient forms. Our analysis results revealed the relationships between design variables of muqarnas patterns, such as the number of facets, the displacement value that indicates structural strength, and the subjective evaluation of their design qualities, such as aesthetics, modernity, traditional quality, and tranquility, using quantifiable measures based on crowdsourcing. By identifying the relationships between the planned forms and their intrinsic attributes in a quantitative data format, this study lays the groundwork for generating new design patterns with specific characteristics.