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# Steel Nexorade Abeille Vaultby TaffGoch

Geodesic sphere • Composed of interlocking steel "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 steel block is an isosceles trapezoid • Only 8 different steel-block 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
Featured By Owner Jan 22, 2012
hm i worked with a few 3d programs before but when i was trying Sketch up i had my problems... It sucked worse than Blender ( Actually I like Blender and open source programs but the interface is a bit complicated the first time )

"Once those were done, replicating copies on the geodesic framework was easy" I might have guessed that.

Featured By Owner Aug 20, 2011
It looks awesome

The texture reminds me a of woodchip wallpaper.

How long did you work on it?
I guess many hours or days
Featured By Owner Aug 20, 2011
Andreas,

The geodesic geometry took me no time, since I've built up a library, over the years

My early modeling of nexorades/reciprocal-frames took awhile, until I learned a few tricks. Now, they're not that time-consuming

Since the Abeille-vault concept was new to me, it took awhile to learn efficient modeling steps. I can do them faster, now, but they can take some time, depending on complexity

This model took about an afternoon, to model the eight different blocks. Once those were done, replicating copies on the geodesic framework was easy

-Taff

Submitted on
April 27, 2011
Image Size
508 KB
Resolution
1280×1280