[Verse 1] Hafting cracked the code back in oh-five, Hexagons firing everywhere you drive, Rat runs a box, the cells light a lattice, Perfect geometric truth, no static, no glitches, Not random firing, not some noisy mess, A triangular tiling wired for finesse, Medial entorhinal, the cortex out back, Behind hippocampus, laying down the track. [Chorus] Dorsal's tight, ventral's wide, Grid cells scaling side to side, Small for close-up, big for the range, Six modules stepping — discrete exchange. Dorsal tight, ventral wide, Zoom lens flipping deep inside, Fine to coarse, the brain's own guide, Multi-resolution, spatial ride. [Verse 2] Slide down the dorsal-ventral axis, watch it grow, Spacing stretches wider the further south you go, Thirty centimeters up top, precision like a blade, Meters down below, the fields are broadly laid, It ain't a smooth ramp, ain't a gradual creep, It's staircase steps, discrete, not seamless leap, Stensola in twenty-twelve mapped the terrain, Found clusters, not a slope — modules in the brain. [Verse 3] Each module's a family, spacing locked as one, Jump to the next tier, the scaling's just begun, Ratio near root-two, about one-point-four, Geometric series climbing floor by floor, Fit the numbers, log 'em, watch the pattern show, A constant multiplier as the modules grow, Four or five discrete tiers is what they found, Stepwise not sliding — that's the module sound. [Chorus] Dorsal's tight, ventral's wide, Grid cells scaling side to side, Small for close-up, big for the range, Six modules stepping — discrete exchange. Dorsal tight, ventral wide, Zoom lens flipping deep inside, Fine to coarse, the brain's own guide, Multi-resolution, spatial ride. [Verse 4] Downstream in hippocampus, place cells mirror this plan, Septal end tiny fields, temporal end the span, Same gradient echoed, dorsal-to-ventral rhyme, Entorhinal's blueprint keeping perfect time, Precision maps your doorway, the corner, the crack, Range maps the whole savanna, the mountain, the track, One scale can't do both jobs, so the cortex splits the load, Small module whispers detail, big module holds the road. [Bridge] Take the spacings, line them up, divide each by the last, Watch the ratio hold steady as the numbers pass, That's your geometric series, that's the hidden key, One-point-four the multiplier, roughly — check and see. [Outro] Dorsal tight, ventral wide, Small for now, big for the ride, Discrete modules, root-two stride, Grid cells mapping the world outside.
← D1 — Entorhinal Interneurons | E2 — The Intrinsic-Property Gradient →