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7 - Plane Reciprocal Diagrams
from Part II - Concepts from Maxwell’s Articles on Structural Mechanics
- By Corentin Fivet, Allan McRobie, William Baker
Edited by William F. Baker, Skidmore Owings and Merrill, Chicago, Allan McRobie, University of Cambridge
Book:

The Geometry of Equilibrium

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22 May 2025, pp 75-92
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13 - Rankine Reciprocal Diagrams in Three Dimensions
from Part II - Concepts from Maxwell’s Articles on Structural Mechanics
- By Masoud Akbarzadeh, Tom Van Mele, Juney Lee, Marton Hablicsek, Philippe Block
Edited by William F. Baker, Skidmore Owings and Merrill, Chicago, Allan McRobie, University of Cambridge
Book:

The Geometry of Equilibrium

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22 May 2025, pp 169-178
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5 - Isotropic and Architectural Geometry
from Part I - Maxwell and Structural Mechanics
- By Cameron Millar, Helmut Pottmann
Edited by William F. Baker, Skidmore Owings and Merrill, Chicago, Allan McRobie, University of Cambridge
Book:

The Geometry of Equilibrium

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22 May 2025, pp 55-60
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2 - The Importance of Maxwell’s Writings for 21st–Century Structural Mechanics
from Part I - Maxwell and Structural Mechanics
- By William Baker, Petia Tzokova, Juney Lee, Allan McRobie
Edited by William F. Baker, Skidmore Owings and Merrill, Chicago, Allan McRobie, University of Cambridge
Book:

The Geometry of Equilibrium

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22 May 2025, pp 7-28
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12 - Legendre Transforms and Polarities
from Part II - Concepts from Maxwell’s Articles on Structural Mechanics
- By Allan McRobie, Marina Konstantatou
Edited by William F. Baker, Skidmore Owings and Merrill, Chicago, Allan McRobie, University of Cambridge
Book:

The Geometry of Equilibrium

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22 May 2025, pp 145-168
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1864a: On Reciprocal Figures and Diagrams of Forces
from Part III - Annotated Original Articles by Maxwell on Structural Mechanics
Edited by William F. Baker, Skidmore Owings and Merrill, Chicago, Allan McRobie, University of Cambridge
Book:

The Geometry of Equilibrium

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22 May 2025, pp 213-224
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1867: On the Application of the Theory of Reciprocal Polar Figures to the Construction of Diagrams of Forces
from Part III - Annotated Original Articles by Maxwell on Structural Mechanics
Edited by William F. Baker, Skidmore Owings and Merrill, Chicago, Allan McRobie, University of Cambridge
Book:

The Geometry of Equilibrium

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22 May 2025, pp 231-234
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11 - Projections of Polyhedra
from Part II - Concepts from Maxwell’s Articles on Structural Mechanics
- By Marina Konstantatou, William Baker, Allan McRobie
Edited by William F. Baker, Skidmore Owings and Merrill, Chicago, Allan McRobie, University of Cambridge
Book:

The Geometry of Equilibrium

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22 May 2025, pp 125-144
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1868: On Reciprocal Diagrams in Space, and their relation to Airy’s Function of Stress
from Part III - Annotated Original Articles by Maxwell on Structural Mechanics
Edited by William F. Baker, Skidmore Owings and Merrill, Chicago, Allan McRobie, University of Cambridge
Book:

The Geometry of Equilibrium

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22 May 2025, pp 235-238
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14 - Vector-Based Form and Force Diagrams in Three Dimensions
from Part II - Concepts from Maxwell’s Articles on Structural Mechanics
- By Pierluigi D’Acunto, Patrick Ole Ohlbrock
Edited by William F. Baker, Skidmore Owings and Merrill, Chicago, Allan McRobie, University of Cambridge
Book:

The Geometry of Equilibrium

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22 May 2025, pp 179-184
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For Funicular Structural Form Finding
Masoud Akbarzadeh
Published online:

13 March 2025

Print publication:

20 March 2025
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Polyhedral Graphic Statics is a geometry-based structural design method based on polyhedral reciprocal diagrams first proposed by Rankine and Maxwell 150 years ago. Providing a unique design guide for structural form finding of efficient spatial structures, this book offers up-to-date insights into the field of geometry-based structural design. The author introduces a different design domain, the force domain, and explains the relationship between the geometry of efficient structural forms and the geometric equilibrium of forces called the force diagram. Beginning with step-by-step geometric methods to construct the reciprocal force diagram for simple structural forms, the book then advances to more articulated systems. These include spatial compression-only forms and systems with mixed tensile and compressive forces. Presenting computational applications, the text provides algebraic formulation for form finding in 3D. Discover the applications of this pioneering method in Material Science, Mechanical Engineering, Aerospace, and the design of carbon-absorbing structures.

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