This paper explores the mechanical behavior of additive-manufactured macroscopic graphene structures, focusing on their response to compressive loads. Leveraging the exceptional mechanical properties of graphene and the precision of additive manufacturing, we investigate the structural integrity and deformation mechanisms of these structures. Our study aims to bridge theoretical simulations with experimental results, providing validation and insights for researchers in the field. Additionally, we delve into the mechanical properties of carbon nanotubes, highlighting their remarkable strength and stiffness. By simulating structures inspired by the unique architecture of Single-Walled Carbon Nanotubes, we analyze the effects of varying parameters on mechanical performance. Through computational modeling, we explore how structural variations influence properties such as stiffness and strength. A visual representation of our simulation demonstrates the deformation of a modeled structure under compressive load, offering valuable insights into mechanical responses.