Embedding Tumbler
Tumble
What is happening
A rotating tesseract is a 4-D shape seen through a 3-D window that keeps turning. This is the same trick with hundreds of dimensions. The three axes you see are a small frame that drifts smoothly through the whole space and never returns to the same view.
What to watch for
Regions slide through each other and separate again. A ring opens into a circle, then flattens to a line. Filaments between regions swing like bridges. None of the points move. Only the viewpoint does.
Lattice
What is happening
Up to a thousand of the points are wired to their three nearest neighbours, measured in all the dimensions, so the wires stay true even when the picture misleads. The view changes one axis at a time: a visible axis is traded for a hidden direction, the way a tesseract turns inside out.
What to watch for
A wire flares when the view shows it close to its true length and fades when it points off into dimensions you cannot see. A long wire joins two real neighbours that this view happens to pull apart. Two clumps that overlap with no wires between them are not actually close.
Wander
What is happening
Instead of watching from outside, the camera travels. It hops from one named star to a near neighbour, and at every stop the three axes are fitted again to that neighbourhood, so each region unfolds along its own strongest directions. Every few hops it leaps somewhere far away.
What to watch for
Brightness is true distance. Bright points are close in all the dimensions. The dim dust is far away, however near it looks on screen. Spokes mark the nearest named neighbours of the current stop, and a ring turns face-on when the camera arrives there.
The data is synthetic: nine topic regions, the filaments and bridges between them, a ring of months and an arc of temperature words, generated to behave like the output of a small sentence-embedding model and normalised to unit length. 290 points carry words; the rest stand in for unnamed passages. Real model output is noisier and less tidy.