If the shadows we are familiar with are two dimensional representations of three dimensional objects does that mean that a four dimensional object casts a three dimensional shadow?
@ninalanyon but we are 4 dimensional; height, depth, width, time (not sure if those are the correct names but you get my drift). The shadow I suppose is the memory of us which isn't even a dimension, or is it? Have I just come up with a new concept? Or is my logic faulty? * Great and thought provoking topic*
@SpudMuffin I don't know how light would work in higher euclidean dimensions. The video uses a purely geometric projection process (some of the matrices are projection matrices). It's a mathematical way of transforming a collection of 4D coordinates to 3D coordinates that idealizes what an ideal point light source would do, if you know what I mean!
@GeniUs Yes, we exist in a 4D space time continuum, but time is a special dimension that doesn't behave like the other three. I guess you could create a set of 4D coordinates in space and time, and use a projection matrix. But what I think we'd see (in most cases) is points moving in time, not skeletonized cubes like in the video. Certain projections might hold the time coordinate constant and therefore appear all at once, but I suspect they would be boring projections.
