Planar, semi-regular tilings of free-form architecture
Posted: Oct 30, 18 9:00 pm
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kefexOct 30, 18 9:00 pm
Hi there folks, just sharing some architectural geometry work I did a few years ago, which has come close a couple times to being realized in an actual building. I believe it was novel at the time, and I'm curious to know if anyone has done anything similar since.
It's an approach for constructing free-form architecture using piece-wise planar tiles. When the shape is convex, the problem is very simple. When you have negative Gaussian curvature it gets tricky, and that was the problem I was trying to solve.
The shape is first segmented using any plausible scheme -- in this case, I used a relaxed voronoi tessellation. Then I optimize the vertex positions so the regions are as planar as possible, while remaining as close to the original surface as possible. I used L-BFGS for this latter step. The result in the pic below is typical.
Keen to hear anyone's thoughts on the matter. I currently work in R&D at Weta Digital, and haven't had a chance to spend any time on architectural geometry for a while, but I thought I'd dust this off and see if anyone was interested.
Hi there folks, just sharing some architectural geometry work I did a few years ago, which has come close a couple times to being realized in an actual building. I believe it was novel at the time, and I'm curious to know if anyone has done anything similar since.
It's an approach for constructing free-form architecture using piece-wise planar tiles. When the shape is convex, the problem is very simple. When you have negative Gaussian curvature it gets tricky, and that was the problem I was trying to solve.
The shape is first segmented using any plausible scheme -- in this case, I used a relaxed voronoi tessellation. Then I optimize the vertex positions so the regions are as planar as possible, while remaining as close to the original surface as possible. I used L-BFGS for this latter step. The result in the pic below is typical.
This blog post has some more information on the technique:
https://methodart.blogspot.com...
Keen to hear anyone's thoughts on the matter. I currently work in R&D at Weta Digital, and haven't had a chance to spend any time on architectural geometry for a while, but I thought I'd dust this off and see if anyone was interested.
Cheers,
Kevin