December 10th, 2009
I’m very excited. Finally, after a few months of grinding away at this java-based higher-dimensional projection system, I’ve got a few legitimate results to show off:
5 dimensions into 2:

I literally cropped these in MS Paint. Seriously.
6 dims into 2 (in perspective so it looks faster)

and finally 6 dims into 3. I promise better graphics soon.

Tags: Apps, computation, graphics, math, n-dimensional, projection
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December 1st, 2009
I am working on a long term project investigating higher dimensional space and how it can be understood in architectural/spatial terms. The eventual goals for the project include instructive and generative tools for designers as well as a pedagogical agenda towards a better understanding of Cartesian space in architecture.
The diagrams below demonstrate a particular form of projecting three dimensions into one and I’m working already on the next which will be projecting 3 dimensions into 2.
First, we establish a projection window and some geometry to project:

Then, we capture anything that’s in the window and project it.

Eventually, I hope to be able to make clear explanations about what it means to project 4, 5, etc dimensions into 2, 3 or more.
Tags: computation, hypercube, n-dimensional, project ion, space
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