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Stone Nexorade Abeille Vault by TaffGoch Stone Nexorade Abeille Vault by TaffGoch
Stone Nexorade Abeille Vault by TaffGoch (print image)

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Geodesic sphere • Composed of interlocking stone blocks • Based on book article: "Geometric Methods and Computational Mechanics for the design of Stone Domes Based on Abeille's Bond" • Authors: Maurizio Brocato and Lucia Mondardini • Book: Advances in Architectural Geometry 2010 • Publisher: Springer, 2010

Book online summary: Advances in Architectural Geometry 2010
Article PDF: Geometric Methods and Computational Mechanics for the design of Stone Domes Based on Abeille's Bond

At the end of the 17th century, flat wood vaults were invented by Joseph Abeille (pronounced, Zhō-sĕf Ah-bāy,) composed of interlocking, load-distributing timbers, arranged as a reciprocal frame • The original Abeille’s vaults, designed for a flat roof, are adapted to model curved surfaces of architectural applications • Geodesic reciprocal-frame spheres are currently referred to, in mathematical & architectural journals, as "nexorades" • Several nexorade articles are available online, and can be found by Googling the term, "nexorade"

This particular model depicts a frequency-4 icosahedral geodesic tessellation, using 34.5° nexorade-rotation and 24° block side-slope, as presented in the article • Such spherical vaults can be constructed with no mechanical connections between blocks, relying on friction & compression forces, alone, thanks to the interweaving of the blocks • The cross-section of each stone block is an isosceles trapezoid • Only 8 different stone configurations are used, to replicate over the entire surface (480 blocks; total)

Modeled in SketchUp • Rendered in Kerkythea

SketchUp model available at Google 3D Warehouse: Nexorade Sphere • Abeille Vault
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Submitted on
April 27, 2011
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