aThematics » n-dimensional http://www.athematics.com Mon, 26 Sep 2011 20:15:24 +0000 en hourly 1 http://wordpress.org/?v=3.1.2 first images http://www.athematics.com/2009/12/first-images/ http://www.athematics.com/2009/12/first-images/#comments Thu, 10 Dec 2009 05:17:59 +0000 admin http://www.athematics.com/?p=242 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:
untitled

I literally cropped these in MS Paint. Seriously.
6 dims into 2 (in perspective so it looks faster)
untitled2

and finally 6 dims into 3. I promise better graphics soon.
untitled3

]]> http://www.athematics.com/2009/12/first-images/feed/ 0 Project ion http://www.athematics.com/2009/12/project-ion/ http://www.athematics.com/2009/12/project-ion/#comments Tue, 01 Dec 2009 23:28:01 +0000 admin http://www.athematics.com/?p=224 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:
3d-1d diagrams 1

Then, we capture anything that’s in the window and project it.
3d-1d diagrams 2

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.

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