With colors you can in principle display data in 5-dimensional space on a 2D medium without flattening.
Bottlenecks (cognitive): - intuitively knowing the RGB values of colors you’re seeing - intuitively perceiving color differences as 3-dimensional distances
I think R2→R3 are possible (and smth like this is already being used in complex functions visualizations). Not sure if you could display i.e. 5d hypercube this way (by the same reason there are no R→R function which looks like a square)
The coordinates x, y, R, G, B are independent, so it should be possible. I think the problem is just our intuition, which isn’t optimized for perceiving color like three distances in space, or even like three separate values at all.
With colors you can in principle display data in 5-dimensional space on a 2D medium without flattening.
Bottlenecks (cognitive):
- intuitively knowing the RGB values of colors you’re seeing
- intuitively perceiving color differences as 3-dimensional distances
Feasible? Useful?
I think R2→R3 are possible (and smth like this is already being used in complex functions visualizations). Not sure if you could display i.e. 5d hypercube this way (by the same reason there are no R→R function which looks like a square)
Hmm. Yeah. It gets difficult to display points with the same XY coordinates and different RGB coordinates
The coordinates x, y, R, G, B are independent, so it should be possible. I think the problem is just our intuition, which isn’t optimized for perceiving color like three distances in space, or even like three separate values at all.
I feel like such intuitions could be developed. - I’m more uncertain where I would use this skill.
Though given how OOD it is there could be significant alpha up for grabs
(Q: Where would X-Ray vision for cluster structures in 5-dimensional space be extraordinarily useful?)