Computational Tessellation of Freeform, Cut-Stone Vaults


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Date

2018-12

Publication Type

Journal Article

ETH Bibliography

yes

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Abstract

Contemporary innovations in structural form-finding and fabrication techniques are leading to design of freeform masonry architecture. These new forms create new challenges in laying out tessellation patterns, especially if structural, fabrication and construction requirements as well as aesthetical considerations are taken into account. Addressing these challenges, we review historic stone-cutting strategies and their geometric principles, forming the base for the development of two new discretisation approaches for given thrust surfaces, allowing for various degrees of user control. First, we introduce a tessellation approach based on primal, anisotropic triangular meshes and their dual counterparts. Second, an alternative tessellation approach based on transverse cutting curves is presented. Using a simple set of geometric rules, both methods enable the design of rigid, staggered bonds with locally force-flow aligned block configurations to avoid sliding failures. For this research, the tessellation design of the Armadillo Vault, an unreinforced, dry-assembled, cut-stone stone shell, served as a case study to demonstrate the feasibility of our methods in the context of a full-scale architectural project.

Publication status

published

Editor

Book title

Volume

20 (3)

Pages / Article No.

545 - 566

Publisher

Springer

Event

Edition / version

Methods

Software

Geographic location

Date collected

Date created

Subject

Vault design; Freeform; Dry-set masonry; Shell; Vault; Tessellation; Stereotomy; Discretisation; Computational methods

Organisational unit

03847 - Block, Philippe / Block, Philippe check_circle
02284 - NFS Digitale Fabrikation / NCCR Digital Fabrication

Notes

It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.

Funding

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