I recently posted some comments by Dave Ackley about 2D versus 3D, which I'll repeat here:
David Ackley, who developed the two-dimensional CA-like "Moveable Feast Machine" architecture for "Robust First Computing", touched on moving from 2D to 3D in his retirement talk:
"Well 3D is the number one question. And my answer is, depending on what mood I'm in, we need to crawl before we fly."
"Or I say, I need to actually preserve one dimension to build the thing and fix it. Imagine if you had a three-dimensional computer, how you can actually fix something in the middle of it? It's going to be a bit of a challenge."
"So fundamentally, I'm just keeping the third dimension in my back pocket, to do other engineering. I think it would be relatively easy to imaging taking a 2D model like this, and having a finite number of layers of it, sort of a 2.1D model, where there would be a little local communication up and down, and then it was indefinitely scalable in two dimensions."
"And I think that might in fact be quite powerful. Beyond that you think about things like what about wrap-around torus connectivity rooowaaah, non-euclidian dwooraaah, aaah uuh, they say you can do that if you want, but you have to respect indefinite scalability. Our world is 3D, and you can make little tricks to make toruses embedded in a thing, but it has other consequences."
Here's more stuff about the Moveable Feast Machine:
David Ackley, who developed the two-dimensional CA-like "Moveable Feast Machine" architecture for "Robust First Computing", touched on moving from 2D to 3D in his retirement talk:
https://youtu.be/YtzKgTxtVH8?t=3780
"Well 3D is the number one question. And my answer is, depending on what mood I'm in, we need to crawl before we fly."
"Or I say, I need to actually preserve one dimension to build the thing and fix it. Imagine if you had a three-dimensional computer, how you can actually fix something in the middle of it? It's going to be a bit of a challenge."
"So fundamentally, I'm just keeping the third dimension in my back pocket, to do other engineering. I think it would be relatively easy to imaging taking a 2D model like this, and having a finite number of layers of it, sort of a 2.1D model, where there would be a little local communication up and down, and then it was indefinitely scalable in two dimensions."
"And I think that might in fact be quite powerful. Beyond that you think about things like what about wrap-around torus connectivity rooowaaah, non-euclidian dwooraaah, aaah uuh, they say you can do that if you want, but you have to respect indefinite scalability. Our world is 3D, and you can make little tricks to make toruses embedded in a thing, but it has other consequences."
Here's more stuff about the Moveable Feast Machine:
https://news.ycombinator.com/item?id=15560845
https://news.ycombinator.com/item?id=14236973
The most amazing mind blowing demo is Robust-first Computing: Distributed City Generation:
https://www.youtube.com/watch?v=XkSXERxucPc
And a paper about how that works:
https://www.cs.unm.edu/~ackley/papers/paper_tsmall1_11_24.pd....
Plus there's a lot more here:
https://movablefeastmachine.org/
Now he's working on a hardware implementation of indefinitely scalable robust first computing:
https://www.youtube.com/channel/UC1M91QuLZfCzHjBMEKvIc-A