Saltatur: Node-Based Assembly of Funicular Spatial Concrete

M. Akbarzadeh and A. Tabatabaie Ghomi and M. Bolhassani and M. Akbari and A. Seyedahmadian and J. Sun and H. Yao and and J. Miziumski and K. Papalexiou 

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@inproceedings{AkbarzadehACADIA2020,
title={Saltatur: Node-Based Assembly of Funicular Spatial Concrete},
author={Akbarzadeh, M. and Tabatabaie Ghomi, A. and Bolhassani, M. and Akbari, M. and Seyedahmadian, A. and Sun, J. and Yao, H. and and Miziumski, J. and Papalexiou, K. },
booktitle={Proceedings of the 40th Annual Conference of the Association for Computer-Aided Design in Architecture (ACADIA)},
year={2021},
place={Virtual Conference},
}

 

Designing the Geometry of Auxetic Materials using Graphic Statics

M. Hablicsek and M. Akbarzadeh

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@inproceedings{hablicsek2021auxetic,
title={Designing the Geometry of Auxetic Materials using Graphic Statics},
author={Hablicsek M. and Akbarzadeh, M.},
booktitle={Proceedings of IASS Symposium and Spatial Structures Conference 2020/21, Inspiring the next generation},
year={2021},
month={August 23-27},
address={Guildford, UK}
}

 

All glass, compression-dominant polyhedral bridge prototype: form-finding and fabrication

Y. Lu and M. Cregan and P.A. Chhadeh and A. Seyedahmadian and M. Bolhassani and J. Schneider and J.R. Yost and M. Akbarzadeh

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@inproceedings{lu2021allglass,
title={All glass, compression-dominant polyhedral bridge prototype: form-finding and fabrication},
author={Lu, Y. and Cregan, M. and Chhadeh, P.A. and Seyedahmadian, A. and Bolhassani, M. and Schneider, J. and Yost, J.R. and Akbarzadeh, M.},
booktitle={Proceedings of IASS Symposium and Spatial Structures Conference 2020/21, Inspiring the next generation},
year={2021},
month={August 23-27},
address={Guildford, UK}
}

 

Lightweight Structures and the Geometric Equilibrium in Dragonfly Wings

Hao Zheng and Marton Hablicsek and Masoud Akbarzadeh

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@inproceedings{zheng2020lightweight,
title={Lightweight Structures and the Geometric Equilibrium in Dragonfly Wings},
author={Hao Zheng and Marton Hablicsek and Masoud Akbarzadeh},
booktitle={Proceedings of International Association for Shell and Spatial Structures Annual Symposia (IASS)},
pages={},
year={2021},
place={Guildford, UK},
}

 

Generating and Optimizing a Funicular Arch Floor Structure

Hao Zheng and Xinyu Wang and Zehua Qi and Shixuan Sun and Masoud Akbarzadeh

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@inproceedings{zheng2020generating,
title={Generating and Optimizing a Funicular Arch Floor Structure},
author={Hao Zheng and Xinyu Wang and Zehua Qi and Shixuan Sun and Masoud Akbarzadeh},
booktitle={Proceedings of the 40th Annual Conference of the Association for Computer-Aided Design in Architecture (ACADIA)},
pages={},
year={2020},
place={Philadelphia, USA},
}

 

Web-based Interactive Polyhedral Graphics Statics Platform

Hua Chai and Masoud Akbarzadeh

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@InProceedings{Chai2021,
author = {Chai, Hua and Akbarzadeh, Masoud},
booktitle = {Proceedings of the IASS Annual Symposium 2020/21},
title = {{Web-based Interactive Polyhedral Graphics Statics Platform}},
year = {2021},
address = {Surrey,UK},
}

 

Augmented Intuition – Encoding Ideas, Matter and why in matters

Mathias Bernhard and Maria Smigielska and Benjamin Dillenburger

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@incollection{Bernhard2021b,
author = {Bernhard, Mathias and Smigielska, Maria and Dillenburger, Benjamin},
booktitle = {The Routledge Companion to Artificial Intelligence in Architecture},
chapter = {22},
editor = {As, Imdat and Basu, Prithwish},
publisher = {Taylor {\&} Francis},
title = {{Augmented Intuition – Encoding Ideas, Matter and why in matters}},
year = {2021}
}

 

TopoGAN – Topology Optimization with Generative Adversarial Networks

Mathias Bernhard and Reza Kakooee and Patrick Bedarf and Benjamin Dillenburger

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@inproceedings{Bernhard2021a,
address = {Paris, France},
author = {Bernhard, Mathias and Kakooee, Reza and Bedarf, Patrick and Dillenburger, Benjamin},
booktitle = {AAG – Advances in Architectural Geometry},
file = {:Users/bernham/Documents/Mendeley Desktop/Bernhard et al. – 2021 – TopoGAN Topology Optimization with Generative Adversarial Networks(2).pdf:pdf;:Users/bernham/Documents/Mendeley Desktop/Bernhard et al. – 2021 – TopoGAN – Topology Optimization with Generative Adversarial Networks.pdf:pdf},
number = {unpublished},
title = {{TopoGAN – Topology Optimization with Generative Adversarial Networks}},
year = {2021}
}

 

Performative Porosity – adaptive infills for concrete parts

Mathias Bernhard and Mohammad Bolhassani and Masoud Akbarzadeh

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@inproceedings{Bernhard2021,
address = {Surrey, UK},
author = {Bernhard, Mathias and Bolhassani, Mohammad and Akbarzadeh, Masoud},
booktitle = {Proceedings of the IASS Annual Symposium 2020/21},
title = {{Performative Porosity – adaptive infills for concrete parts}},
year = {2021}
}

 

Developing a polyhedral graphic statics formulation for tetrahedral truss systems

Salma Mozaffari, Marton Hablicsek, Masoud Akbarzadeh, Thomas Vogel

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@inproceedings{Mozaffari2021,
address = {Surrey, UK},
author = {Mozaffari, Salma and Hablicsek, M{\’a}rton and Akbarzadeh, Masoud and Vogel, Thomas},
booktitle = {Proceedings of the IASS Annual Symposium 2020/21},
title = {Developing a polyhedral graphic statics formulation for tetrahedral truss systems},
year = {2021}
}

 

PolyFrame, Efficient Computation for 3D Graphic Statics

Andrei Nejur and Masoud Akbarzadeh

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@article{NEJUR2021103003,
title = {PolyFrame, Efficient Computation for 3D Graphic Statics},
journal = {Computer-Aided Design},
volume = {134},
pages = {103003},
year = {2021},
issn = {0010-4485},
doi = {https://doi.org/10.1016/j.cad.2021.103003},
url = {https://www.sciencedirect.com/science/article/pii/S0010448521000142},
author = {Andrei Nejur and Masoud Akbarzadeh},
keywords = {Three-dimensional graphic statics, Polyhedral reciprocal diagrams, Polyhedral graphic statics, Parallel manipulation of polyhedral diagrams},
abstract = {In this paper, we introduce a structural form finding plugin called PolyFrame for the Rhinoceros software. This plugin is developed based on the methods of 3D Graphic Statics and Polyhedral Reciprocal Diagrams. The computational framework of this plugin uses new robust and efficient algorithms for the creation and modification of complex funicular, compression-only structural forms and is freely available for students, designers, researchers, and practitioners in the fields of architecture, structural engineering, mechanical engineering, and material science. The geometry-based structural design methods are one of the most intuitive yet powerful structural design methods that have recently been extended to 3D based on the Principles of the Equilibrium of Polyhedral Frames. Still, the increased geometrical complexities of the polyhedral diagrams hinder more in-depth practical applications and research in this field. The framework proposed in this paper can manage, in near real-time, the creation and transformation of reciprocal polyhedral diagrams with a large number of elements as form and force diagrams for structural design purposes. The paper also introduces a hybrid object-oriented data structure that extends and generalizes the previously proposed approaches and thus allows the users to incorporate a variety of different geometric constraints, including edge lengths and the location of the supports from the initial stages of design. Additionally, a new parallel manipulation algorithm is introduced that is capable of transforming polyhedral diagrams while preserving the edge directions and face normal. As a result, a designer can effectively manipulate both structural form and its force distribution without breaking their reciprocity.}
}

 

Algebraic 3D Graphic Statics: Constrained Areas

Masoud Akbarzadeh and Marton Hablicsek

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@article{akbarzadeh2020algebraic,
  title={Algebraic 3D Graphic Statics: Constrained Areas},
  author={Akbarzadeh, Masoud and Hablicsek, Marton},
  journal={arXiv preprint arXiv:2007.15133},
  year={2020}
}

Geometry-based structural form-finding to design architected cellular solids

Mostafa Akbari, Armin Mirabolghasemi, Hamid Akbarzadeh, Masoud Akbarzadeh

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@inproceedings{akbari2020geometry,
  title={Geometry-based structural form-finding to design architected cellular solids},
  author={Akbari, Mostafa and Mirabolghasemi, Armin and Akbarzadeh, Hamid and Akbarzadeh, Masoud},
  booktitle={Symposium on Computational Fabrication},
  pages={1--11},
  year={2020}
}

Geometric Degrees of Freedom and Non-Conventional Spatial Structural Forms

Masoud Akbarzadeh and Marton Hablicsek

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@inproceedings{akbarzadeh2019geometric,
  title={Geometric degrees of freedom and non-conventional spatial structural forms},
  author={Akbarzadeh, Masoud and Hablicsek, M{\'a}rton},
  booktitle={Design Modelling Symposium Berlin},
  pages={3--17},
  year={2019},
  organization={Springer}
}

Iterative Machine Learning for Structural Form Finding with Fabrication constraints

Hao Zheng, Vahid Moosavi, Masoud Akbarzadeh

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@article{zheng2020machine,
  title={Machine learning assisted evaluations in structural design and construction},
  author={Zheng, Hao and Moosavi, Vahid and Akbarzadeh, Masoud},
  journal={Automation in Construction},
  volume={119},
  pages={103346},
  year={2020},
  publisher={Elsevier}
}

From Polyhedral to Anticlastic Funicular Spatial Structures

Mostafa Akbari, Mohammad Bolhassani, Masoud Akbarzadeh

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@inproceedings{akbari2019polyhedral,
  title={From Polyhedral to Anticlastic Funicular Spatial Structures},
  author={Akbari, Mostafa and Akbarzadeh, Masoud and Bolhassani, Mohammad},
  booktitle={Proceedings of IASS Symposium},
  year={2019}
}

Behavior of Modular Components in a Funicular Glass Bridge

Mohammad Bolhassani, Cory Byrnes, Joseph Robert Yost, Masoud Akbarzadeh, Jens Schneider, Andrei Nejur

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@article{bolhassanibehavior,
  title={Behavior of Modular Components in a Funicular Glass Bridge},
  author={BOLHASSANI, Mohammad and BYRNES, Cory and YOST, Joseph Robert and AKBARZADEH, Masoud and SCHNEIDER, Jens and NEJUR, Andrei}
}

Algebraic Formulation for Controlling the Face Areas of 3DGraphic Statics

Masoud Akbarzadeh, Marton Hablicsek

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@article{akbarzadehalgebraic,
  title={Algebraic Formulation for Controlling the Face Areas of 3D Graphic Statics},
  author={Akbarzadeh, Masoud and Hablicsek, Marton and McRobie, Allan and Zheng, H and Moosavi, V and Akbarzadeh, M and Mirtsopoulos, I and Fivet, C and Deschuyteneer, A and Zastavni, D and others}
}

Graphic statics in a continuum: strut-and-tie models for reinforced concrete

Salma Mozaffari, Masoud Akbarzadeh, Thomas Vogel

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BibTex
@article{mozaffari2020graphic,
  title={Graphic statics in a continuum: Strut-and-tie models for reinforced concrete},
  author={Mozaffari, Salma and Akbarzadeh, Masoud and Vogel, Thomas},
  journal={Computers \& Structures},
  volume={240},
  pages={106335},
  year={2020},
  publisher={Elsevier}
}

Generation of strut-and-tie models and stress fields for structural concrete

Salma Mozaffari, Masoud Akbarzadeh, Thomas Vogel

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@inproceedings{mozaffari2019generation,
  title={Generation of strut-and-tie models and stress fields for structural concrete},
  author={Mozaffari, Salma and Akbarzadeh, Masoud and Vogel, Thomas},
  booktitle={Structures Congress 2019: Blast, Impact Loading, and Research and Education},
  pages={353--361},
  year={2019},
  organization={American Society of Civil Engineers Reston, VA}
}
The Design of an Ultra-Transparent Funicular Glass Structure

Masoud Akbarzadeh, Mohammad Bolhassani, Andrei Nejur, Joseph Robert Yost, Cory Byrnes, Jens Schneider, Ulrich Knaack, Chris Borg Costanzi

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@inproceedings{akbarzadeh2019design,
  title={The design of an ultra-transparent funicular glass structure},
  author={Akbarzadeh, Masoud and Bolhassani, Mohammad and Nejur, Andrei and Yost, Joseph Robert and Byrnes, Cory and Schneider, Jens and Knaack, Ulrich and Costanzi, Chris Borg},
  booktitle={Structures Congress 2019: Blast, Impact Loading, and Research and Education},
  pages={405--413},
  year={2019},
  organization={American Society of Civil Engineers Reston, VA}
}
Algebraic 3D graphic statics: Reciprocal constructions

 Márton Hablicsk, Masoud Akbarzadeh, Yi Guo

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@article{hablicsek2019algebraic,
  title={Algebraic 3D graphic statics: Reciprocal constructions},
  author={Hablicsek, M{\'a}rton and Akbarzadeh, Masoud and Guo, Yi},
  journal={Computer-Aided Design},
  volume={108},
  pages={30--41},
  year={2019},
  publisher={Elsevier}
}
Developing Algebraic Constraints for Reciprocal Polyhedral Diagrams of 3D Graphic Statics

Masoud Akbarzadeh, Márton Hablicsk, Yi Guo

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@inproceedings{akbarzadeh2018developing,
  title={Developing algebraic constraints for reciprocal polyhedral diagrams of 3D graphic statics},
  author={Akbarzadeh, Masoud and Hablicsek, M{\'a}rton and Guo, Yi},
  booktitle={Proceedings of IASS Annual Symposia},
  volume={2018},
  number={16},
  pages={1--8},
  year={2018},
  organization={International Association for Shell and Spatial Structures (IASS)}
}
Graphic Statics: Constrained form finding for parallel system of forces using Corsican sum

Georgios-Spyridon Athanasopoulos, Masoud Akbarzadeh, Allan McRobie

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@inproceedings{athanasopoulos2018graphic,
  title={Graphic Statics: Constrained form finding for parallel system of forces using Corsican sum},
  author={Athanasopoulos, Georgios-Spyridon and Akbarzadeh, Masoud and Mcrobie, Allan},
  booktitle={Proceedings of IASS Annual Symposia},
  volume={2018},
  number={16},
  pages={1--8},
  year={2018},
  organization={International Association for Shell and Spatial Structures (IASS)}
}
Constrained Manipulation of Polyhedral Systems

Andrei Nejur, Masoud Akbarzadeh

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@inproceedings{nejur2018constrained,
  title={Constrained manipulation of polyhedral systems},
  author={Nejur, Andrei and Akbarzadeh, Masoud},
  booktitle={Proceedings of IASS Annual Symposia},
  volume={2018},
  number={16},
  pages={1--8},
  year={2018},
  organization={International Association for Shell and Spatial Structures (IASS)}
}
Structural Behavior of a Cast-in-Place Funicular Polyhedral Concrete: Applied 3D Graphic Statics

Mohammad Bolhassani, Ali Tabatabai Ghomi, Andrei Nejur, Masoud Akbarzadeh

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@inproceedings{bolhassani2018structural,
  title={Structural behavior of a cast-in-place funicular polyhedral concrete: Applied 3D graphic statics},
  author={Bolhassani, Mohammad and Ghomi, Ali Tabatabaei and Nejur, Andrei and Furkan, Mustafa Omer and Bartoli, Ivan and Akbarzadeh, Masoud},
  booktitle={Proceedings of IASS Annual Symposia},
  volume={2018},
  number={16},
  pages={1--8},
  year={2018},
  organization={International Association for Shell and Spatial Structures (IASS)}
}
Effect of Subdivision of Force Diagrams on the Local Buckling, Load-Path and Material Use of Founded Forms

Ali Tabatabai Ghomi, Mohammad Bolhassani, Andrei Nejur, Masoud Akbarzadeh

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@inproceedings{ghomi2018effect,
  title={Effect of Subdivision of Force Diagrams on the Local Buckling, Load-Path and Material Use of Founded Forms},
  author={Ghomi, Ali Tabatabaie and Bolhassani, Mohammad and Nejur, Andrei and Akbarzadeh, Masoud},
  booktitle={Proceedings of IASS Annual Symposia},
  volume={2018},
  number={16},
  pages={1--8},
  year={2018},
  organization={International Association for Shell and Spatial Structures (IASS)}
}

Hedracrete; Prefab, Funicular, Spatial Concrete

Masoud Akbarzadeh, Mehrad Mahnia, Ramtin Taherian, Amir Hossein Tabrizi

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@inproceedings{akbarzadeh2017acadia,
title={Hedracrete; Prefab, Funicular, Spatial Concrete},
author={Masoud, Akbarzadeh and Mehrad, Mahnia and Ramtin, Taherian and Amir Hossein, Tabrizi},
booktitle={DISCIPLINES & DISRUPTION: Projects Catalog of the 37th Annual Conference of the Association for Computer-Aided Design in Architecture (ACADIA)},
editor = {Joel Lamere and Cristina Parreno Alonso},
year={2020},
address={Massachusetts Institute of Technology School of Architecture + Planning, Department of Architecture, Cambridge, MA, US},
organization={Association for Computer-Aided Design in Architecture (ACADIA)},
}

 

Addressing buckling of compression members using subdivision of force diagrams

Timo Harboe Nielsen, Masoud Akbarzadeh, Per Goltermann

Abstract

This paper demonstrates how buckling issues can be addressed early in a design process using graphic statics and force diagram modification. It explores how the insertion of a single node in a closed polygon of the force diagrams leads to the insertion of a polygon in the form diagram, and how this method can be used to effectively reduce the length of members and increase the buckling capacity of structures significantly.

The research highlights the degrees of freedom of the resulting form diagram, and respectively identifies important subdivision parameters that can be modified to establish a determinate reciprocal relationship between a subdivided force diagram and the corresponding form with no buckling in the compression members. To evaluate the performance of the resulting form, a buckling-adjusted load-path formula is used. It is closely investigated how the mentioned subdivision parameters can be chosen to effectively reduce the required amount of materials in the structure.

Cite
Harboe Nielsen Timo, Akbarzadeh Masoud, Goltermann Per. Addressing buckling of compression members using subdivision of force diagrams. Proceedings of the IASS Annual Symposium 2017, Interfaces: architecture . engineering . science, 2017.
[BibTeX] [Download PDF]
@inproceedings{timo2017addressing,
  title={Addressing buckling of compression members using subdivision of force diagrams},
  author={Timo, Harboe Nielsen and Masoud, Akbarzadeh and Per, Goltermann},
  booktitle={Proceedings of the IASS Annual Symposium 2017, Interfaces: architecture . engineering . science},
  year={2017},
  organization={IASS}
}
Prefab, Concrete Polyhedral Frame: Materializing 3D Graphic Statics

Masoud Akbarzadeh, Mehrad Mahnia, Ramtin Taherian, Amir Hossein Tabrizi

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@inproceedings{akbarzadeh2017prefab,
  title={Prefab, Concrete polyhedral frame: materializing 3D graphic statics},
  author={Akbarzadeh, Masoud and Mahnia, Mehrad and Taherian, Ramtin and Tabrizi, Amir Hossein},
  booktitle={Proceedings of IASS Annual Symposia},
  volume={2017},
  number={6},
  pages={1--10},
  year={2017},
  organization={International Association for Shell and Spatial Structures (IASS)}
}
On Structural Behavior of the First Funicular Polyhedral Frame Designed by 3D Graphic Statics

Mohammad Bolhassani, Masoud Akbarzadeh, Mehrad Mahnia, Ramtin Taherian

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@article{BOLHASSANI201856,
title = {On Structural Behavior of a Funicular Concrete Polyhedral Frame Designed by 3D Graphic Statics},
journal = {Structures},
volume = {14},
pages = {56-68},
year = {2018},
issn = {2352-0124},
doi = {https://doi.org/10.1016/j.istruc.2018.02.002},
url = {https://www.sciencedirect.com/science/article/pii/S2352012418300079},
author = {Mohammad Bolhassani and Masoud Akbarzadeh and Mehrad Mahnia and Ramtin Taherian},
keywords = {Funicular polyhedral frame, Spatial prefab concrete, Finite element analysis, 3D graphic statics, Polyhedral reciprocal diagrams, Combined compression and tension members, Concrete damage plasticity},
abstract = {This paper investigates the mechanical behavior of the first built funicular structure designed by 3D graphic statics (3DGS) using reciprocal polyhedral diagrams. Graphic statics methods are unique among other structural design techniques in providing an intuitive control over the form of the structure and its equilibrium of forces for designers. Since graphic statics does not include material properties in the form finding process, further numerical investigations to foresee the behavior of the system under loading scenarios other than the 3DGS design loads are unavoidable. This research reports the structural behavior of Hedracrete which is a prefab, concrete, polyhedral frame with both compression and tension members. A simplified (bar-node) and a detailed volumetric mesh model of the structure are numerically analyzed under eight different loading scenarios. Different combinations of linear and nonlinear material behavior for steel and concrete in addition to linear and quadratic element types are used in those analyses. The analyses are planned to initially verify the equilibrium results of the 3DGS model and to predict the maximum load-bearing capacity of the structure by studying the failure mechanism of the system.}
}

Three-dimensional Graphic Statics: Initial explorations with polyhedral form and force diagrams

Masoud Akbarzadeh, Tom Van Mele, Philippe Block

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@article{akbarzadeh2016three,
  title={Three-dimensional graphic statics: Initial explorations with polyhedral form and force diagrams},
  author={Akbarzadeh, Masoud and Van Mele, Tom and Block, Philippe},
  journal={International Journal of Space Structures},
  volume={31},
  number={2-4},
  pages={217--226},
  year={2016},
  publisher={SAGE Publications Sage UK: London, England}
}
3D Graphical Statics Using Reciprocal Polyhedral Diagrams

Masoud Akbarzadeh

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@phdthesis{akbarzadeh20163d,
  title={3D Graphical Statics Using Reciprocal Polyhedral Diagrams},
  author={Akbarzadeh, Masoud},
  year={2016},
  school={ETH Zurich}
}
On the equilibrium of funicular polyhedral frames and convex polyhedral force diagrams

Masoud Akbarzadeh, Tom Van Mele, Philippe Block

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@article{akbarzadeh2015equilibrium,
  title={On the equilibrium of funicular polyhedral frames and convex polyhedral force diagrams},
  author={Akbarzadeh, Masoud and Van Mele, Tom and Block, Philippe},
  journal={Computer-Aided Design},
  volume={63},
  pages={118--128},
  year={2015},
  publisher={Elsevier}
}
3D Graphic Statics: Geometric Construction of Global Equilibrium

Masoud Akbarzadeh, Tom Van Mele, Philippe Block

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@inproceedings{akbarzadeh20153d,
  title={3D graphic statics: geometric construction of global equilibrium},
  author={Akbarzadeh, Masoud and Mele, Tom Van and Block, Philippe},
  booktitle={Proceedings of IASS Annual Symposia},
  volume={2015},
  number={21},
  pages={1--9},
  year={2015},
  organization={International Association for Shell and Spatial Structures (IASS)}
}
Three-dimensional Compression Form Finding through Subdivision

Masoud Akbarzadeh, Tom Van Mele, Philippe Block

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@inproceedings{akbarzadeh2015three,
  title={Three-dimensional compression form finding through subdivision},
  author={Akbarzadeh, Masoud and Mele, Tom Van and Block, Philippe},
  booktitle={Proceedings of IASS Annual Symposia},
  volume={2015},
  number={21},
  pages={1--7},
  year={2015},
  organization={International Association for Shell and Spatial Structures (IASS)}
}