[Verse 1] Presubiculum whispers, Taube caught the signal first, One neuron fires due north no matter where you traverse, Head-direction cells don't care about your square footage, They lock a heading like a needle stitched to compass courage, Move the room, spin the cue card, watch the tuning curve rotate, Allocentric, landmark-bound, this compass won't deviate, Feed that heading downstream into the grid computation — Ohne Richtung, kein Netzwerk — no direction, no navigation. [Chorus] Kompass im Kopf, das ist die Richtung, klar — Head-direction, Border, Speed, Vektor bis zur Wand da, Grid cells brauchen Freunde, brauchen jede Zelle hier, Border, Speed, Objekt-Vektor — das Toolkit, hörst du mir? [Verse 2] Solstad, two-thousand-eight, discovers something colder, Cells that fire only when your rat leans on a shoulder — Of the wall, I mean — a strip that hugs the room's own border, Fixed distance, fixed geometry, rebuilds when the walls reorder, Zoom out to subiculum, the vectors get more general, Boundary-vector cells compute the range in every angle, Distance and direction to the nearest edge or ledge, Die Grenze ruft — the border calls — your map needs its edge. [Verse 3] Kropff, twenty-fifteen, tucked a speedometer inside, Firing rate climbs linear the faster that you glide, Not where you are, not which way — purely how fast you're running, Geschwindigkeit, the missing gear the path integrator's gunning, Distance equals speed times time, the oldest trick in physics, Wire that into grid cells and the dead-reckoning gets fixed, Without this velocity whisper, integration drifts and lies — Speed cells keep the inner compass honest, calibrate the skies. [Bridge] Høydal, twenty-nineteen — cells that clock the couch, the cup, Direction plus a distance to the object, tracking up, Object-vector, portable, the geometry re-flags, Then Sargolini's conjunction: grid meets HD, hybrid tags, Deep layers hum with hexagons that only fire one way — Position and direction sung together in one relay. [Chorus] Kompass im Kopf, das ist die Richtung, klar — Head-direction, Border, Speed, Vektor bis zur Wand da, Grid cells brauchen Freunde, brauchen jede Zelle hier, Border, Speed, Objekt-Vektor — das Toolkit, hörst du mir? [Verse 4] Every cell's a single thread inside the woven scene, Grid and HD, Border, Speed, Vector in between, Entorhinal cortex binds them, spike by spike, so clear, The whole cognitive compass sings — the network's engineered, Layer by layer, cell by cell, the map assembles true, Kein Ort ohne Richtung — no place without a point of view. [Outro] Four more tools inside the entorhinal drawer, Direction, border, speed, and vector — now you know the score, Classify the spike trains, standard scores will show the truth — Das ganze Netzwerk lebt — the whole network's your proof.
← Module 8 — Grid Cells | Module 10 — Grid Modules, Distortions, and Development →