Abstract: This research explores the use of holographic building techniques to facilitate the construction of compression-based stacking structures with extreme cantilevers and arched spans inspired by the block stacking problem. Geometric operations including mirroring, scaling, and shifting are used to transfer the loads of each cantilever structure component to one another without the use of glue or fasteners, allowing the structure to stand without support. Three studies are introduced. In the first, the mathematical problem is parameterized using computational tools with a series of tests of an arced cantilever of X-shaped components. In the second study, we focused on arched structures as the scale of to more directly approach the stacking problem. In the third study, we explored the limits of height using limited materials available, including diminishing part lengths and nonuniform scaling of the archetype “arch” structure. Utilizing computational tools and the integration of holographic projection of geometry during the assembly process added precision and constructability. Using these tools, we were able to easily test and iterate on different design options in a virtual environment before physically constructing them. Additionally, holographic projection eliminated the need for physical measurements, support or alignment materials.