Food4Rhino

PolyFrame 2 is a geometry-based, structural form-finding plugin for Rhinoceros3d and Grasshopper implementing polyhedron-based 3D graphic statics. Upgraded from PolyFrame for Rhino, this new version incorporates a Grasshopper plug-in that not only makes all previous functions available to Grasshopper, but also introduces a variety of new features including tension-compression-combined form-finding, algebraic 3D graphic statics, matrix static and kinematic analysis, scripting interface, built-in examples, and a lot more. The algebraic approach greatly expands the solution space and allows for flexible manipulations of form and force diagrams based on the geometric degrees of freedom. The matrix analysis tools provide additional methods for evaluating the static and kinematic behaviors of the form-finding results. PolyFrame 2 is developed by the Polyhedral Structures Laboratory at the Weitzman School of Design, University of Pennsylvania.

*The embedded Grasshopper example files can be imported using the "Example Files" component.

**If you are using Rhino 6, please upgrade to SR29 or above. If you have installed PolyFrame 2 before you install newer Rhino versions, please remove and reinstall PolyFrame 2 so the newer Rhino can find it.

Software Developers

Dr. Yao Lu, Dr. Andrei Nejur, Dr. Mathias Bernhard, Dr. Mostafa Akbari, Dr. Márton Hablicsek, Dr. Masoud Akbarzadeh

Principal Investigator

Dr. Masoud Akbarzadeh (masouda@upenn.edu)

Funding

This work is funded by the National Science Foundation CAREER Award (NSF CAREER-1944691).

References

• Lu, Yao, Hablicsek, Márton, and Masoud, Akbarzadeh. "Algebraic 3D Graphic Statics with Edge and Vertex Constraints: A Comprehensive Approach to Extending the Solution Space for Polyhedral Form-Finding".Computer-Aided Design, 166:103620, Jan 2024. doi: 10.1016/j.cad.2023.103620
• Akbarzadeh, Masoud. 2016. “3D Graphical Statics Using Reciprocal Polyhedral Diagrams.” Application/pdf. ETH Zurich. doi:10.3929/ETHZ-A-010867338.
• Akbarzadeh, Masoud, Van Mele, Tom, and Block, Philippe. 2015. “On the Equilibrium of Funicular Polyhedral Frames and Convex Polyhedral Force Diagrams.” Computer-Aided Design 63 (June): 118–28. doi:10.1016/j.cad.2015.01.006.
• Nejur, Andrei, and Masoud Akbarzadeh. 2021. “PolyFrame, Efficient Computation for 3D Graphic Statics.” Computer-Aided Design 134 (May): 103003. doi:10.1016/j.cad.2021.103003.
• Hablicsek, Márton, Masoud Akbarzadeh, and Yi Guo. 2019. “Algebraic 3D Graphic Statics: Reciprocal Constructions.” Computer-Aided Design 108 (March): 30–41. doi:10.1016/j.cad.2018.08.003.
• Akbari, Mostafa, Armin Mirabolghasemi, Mohammad Bolhassani, Abdolhamid Akbarzadeh, and Masoud Akbarzadeh. 2022. “Strut-Based Cellular to Shellular Funicular Materials.” Advanced Functional Materials 32 (14): 2109725. doi:10.1002/adfm.202109725.
• Chai, Hua, and Masoud, Akbarzadeh. "Web-based Interactive Polyhedral Graphics Statics Platform." In Proceedings of the IASS Annual Symposium 2020/21.2021.