Geometry-based structural design methods represent a group of powerful and intuitive geometric techniques for structural form-finding and analysis based on pure geometry. These methods that originated in the pre-digital era continue to be used and practiced until today. In 2016, Masoud Akbarzadeh was among a team that developed a new extension of this method in three-dimension based on a novel mathematical concept proposed in the 19th century. He established the Polyhedral Structures Laboratory at the Weitzman School of Design to bridge the gap between design and engineering and extend the use and accessibility of this research and education method in architectural design, structural and mechanical engineering in the 21st century. The broader applications of this method are in the construction of innovative light-weight, spatial structures, cellular solids architecture, and the future of manufacturing.