I love this. Just want to throw out an actual debug UI I created to solve a real problem that doesn't quite fit neatly into the "visualize a data structure" frame.
https://akkartik.name/post/2023-11-04-devlog
Here the dots are in a 2D array, but the array is interpreted spatially and the space between elements is interpreted continuously.
I've often wondered what sort of systematization might cover ideas like this. It will be familiar to game programmers, who are constantly annotating 3D spaces with metadata in their debug UIs..