[Verse 1] In the cortex where neurons dance and weave Same pattern copied endlessly Columns standing like soldiers in formation Each one holds the computation Tiled across the brain's vast territory Circuit motifs tell the same story From visual fields to motor command Identical blueprints across the land [Chorus] Permutation invariant, that's the key Swap the columns, same functionality Sum and max, the operations we need Dendritic trees make the magic proceed Tileability, tileability Cortical columns work in harmony [Verse 2] Winner-take-all dynamics firing strong Max-like functions where signals belong Dendritic integration adds them up Sum operations fill the neural cup Each column speaks its local truth Aggregated wisdom, that's the proof Algebraic structure guides the way How distributed units have their say [Chorus] Permutation invariant, that's the key Swap the columns, same functionality Sum and max, the operations we need Dendritic trees make the magic proceed Tileability, tileability Cortical columns work in harmony [Bridge] From somatosensory to auditory streams Visual cortex processing all our dreams The same computational architecture flows Through every region where cognition grows Biological constraints shape what we can do Sum and max emerge from neural circuitry true Not multiplication or complex transforms Simple operations keep the brain's norms [Verse 3] Distributed processing across the sheet Where cortical columns gather and meet Each tile contributing its unique voice Aggregation methods give us choice Summation pools the collective thought Maximum selection finds what's sought Mathematical beauty in biological form Cortical columns weather every storm [Verse 4] Layer by layer, the signals cascade Through minicolumns where connections are made Six-layered architecture holds the design Pyramidal neurons in perfect line Inhibitory circuits keep balance tight While excitatory paths spread the light Modular processing, scalable and clean The most elegant network we've ever seen [Chorus] Permutation invariant, that's the key Swap the columns, same functionality Sum and max, the operations we need Dendritic trees make the magic proceed Tileability, tileability Cortical columns work in harmony [Outro] Tiled and ready, the cortex computes Through permutation-invariant routes Sum and max in neural concert Making minds that can assert [Final Chorus] Permutation invariant, that's the key Swap the columns, same functionality Sum and max, the operations we need Dendritic trees make the magic proceed Tileability, tileability Cortical columns work in harmony
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