Quick first visualization attempt of the dynamics
The dynamics run on the real hyperbolic {5,3,4} crystal (500,000 cells), the main vibe rule, computing each cell's tone: blue = pleasure, red = pain, black = peace. We then take a flat horosphere slice of that crystal and lay it out evenly, so every dot is one cell of the real computation, shown in flatland.
The colored constellations are the aggregations, and this grouping is real, straight from the model. Each blue or red shape is one self: a connected patch of cells that all hold the same tone, joined by the crystal's own neighbor links. They form because the rule makes same-tone charges stick together (same-sign is inert, so they cohere) while opposite tones annihilate on contact. So the grouping rule here is literally "cells that are connected on the {5,3,4} and share a tone", that's a higher self (a region of vibes acting as one). Bigger selves are drawn bolder, which shows the size hierarchy (the tower).
The violet dashed territories are the next level up, but: that grouping is a display heuristic, not yet derived from the model. I group selves whose centers sit close together (within a fixed distance) and draw a boundary around them, to sketch "a neighborhood of selves acting as a super-self," the next rung of the tower. The selves inside are real; the way they're bundled (spatial proximity) is my visualization choice, not the theory's integration measure. So read the violet outlines as "these nearby selves form a higher-order cluster," a suggestive sketch of the tower continuing upward, whereas the red/blue selves themselves are the genuine, model-computed structure.