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.
with D=2. This allows for 45º rotation while maintaining integer accuracy. (the coefficients are rational, so they have integer accuracy.)