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  4. Voss surfaces: A design space for geodesic gridshells
 
conference paper

Voss surfaces: A design space for geodesic gridshells

Montagne, Nicolas Robin  
•
Douthe, Cyril
•
Tellier, Xavier
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Behnejad, S.A.
•
Parke, G.A.R.
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August 23, 2021
Proceedings of the IASS Annual Symposium 2020/21 and the 7th International Conference on Spatial Structures
IASS Annual Symposium 2020/21 and 7th International Conference on Spatial Structures

The design of envelopes with complex geometries often leads to construction challenges. To overcome these difficulties, resorting to discrete differential geometry proved successful by establishing close links between mesh properties and the existence of good fabrication, assembling and mechanical properties. In this paper, the design of a special family of structures, called geodesic shells, is addressed using Voss nets, a family of discrete surfaces. The use of discrete Voss surfaces ensures that the structure can be built from simply connected, initially straight laths, and covered with flat panels. These advantageous constructive properties arise from the existence of a conjugate network of geodesic curves on the underlying smooth surface. Here, a review of Voss nets is presented and particular attention is given to the projection of normal vectors on the unit sphere. This projection, called Gauss map, creates a dual net which unveils the remarkable characteristics of Voss nets. Then, based on the previous study, two generation methods are introduced. One enables the exploration and the deformation of Voss nets while the second provides a more direct computational technique. The application of theses methodologies is discussed alongside formal examples.

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Type
conference paper
Author(s)
Montagne, Nicolas Robin  
Douthe, Cyril
Tellier, Xavier
Fivet, Corentin  
Baverel, Olivier
Editors
Behnejad, S.A.
•
Parke, G.A.R.
•
Samavati, O.A.
Date Issued

2021-08-23

Publisher place

Guilford, UK

Published in
Proceedings of the IASS Annual Symposium 2020/21 and the 7th International Conference on Spatial Structures
Total of pages

10

Subjects

Voss nets

•

gridshell

•

geodesics

•

constructive geometry

•

Chebyshev nets

•

Gauss map

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
SXL  
Event nameEvent placeEvent date
IASS Annual Symposium 2020/21 and 7th International Conference on Spatial Structures

Guilford, UK

August 23-27, 2021

Available on Infoscience
August 25, 2021
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/180796
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