Double ray tracing as an approach to visualise monochromic 4D objects arranged in layers (like a cloudscape)
This is directly extracted from a dream last night, thus it might not necessary make sense
Consider cloud layers in the sky in 4D space
Here we picked out one of the clouds to focus our attention on. Note how the top cloud cast a shadow to the bottom cloud as expected, and the more and thicker the clouds are on top of the target cloud in question, the darker the shadow being cast
Now note how the cloud has a section (which extend into its 3D "interior" in the 3D projection shown that is in a bluer gradient.
Looking at the parallel projection of the 4D sky, we have a piece of cloud anwards to the target cloud in question. This cast a bluish "shadow" onto the cloud in question. Once again, the more clouds anwards to the target cloud, the bluer the cloud became
Now since we live in 3D, we can only see the top image, that is, we cannot see the clouds anwards to it, but we can infere it is there as the cloud moves by noting how the blueness moves and morphs due to clouds anwards to it casting the blusih "shadow" down to the cloud we are looking?
It seems easy to implement in POVray or other raytracing softwares, but will this help us in illustrating layered structures in 4D in real time?