I do not know if this is the right place to ask this. But if I have a 3D object (tetrahedron) I can make a projection of it into 2D space where I use colour as the third dimension to determine height.
Now if I want to make a 4d projection into a 3D space I should be able to do something similar with the forth dimention - projecting it to colour and applying it to a 3D object. Is there something similar being done somewhere? Like has anybody made atool tomake these kind of visualizations?
This is certainly doable mathematically. You would have to figure out how to "see" the inside of the three dimensional projection - perhaps by cutting it in half and showing only half. I know of no tools explicitly built for this task but it could probably be done with openscad.