Local Cell Count (Level N)

Local Pixel Count (Level N) is the number of computational pixels visible in one view at harmonic level N of the UniSphere grid: 🟑⌂(N) = 16 × 2^(2N). It is the resolution term of the harmonic level architecture. Each level defines how many pixels are visible, how quickly they refresh and how large the apparent frame of the universe becomes; the pixels themselves never change size, only how many of them a level sees. At Level 0 the view is 16 pixels, and the count grows fourfold with each harmonic level, because 2^(2N) = (2ᴺ)² is the square of the doubling. That same square, (2ⁿ)² = 2²ⁿ, is what the book calls structural capacity in its note on the Foundational Equation. Formally, 🟑⌂(N) = 16 × 2^(2N) pixels per view, where 🟑⌂(N) is the local visible pixel count at level N, ⌂ marks the local (home) level, N is the harmonic level index measuring zoom depth from the primordial foundation, 16 is the base pixel count at the lowest observable level, and 2^(2N) is the exponential pixel scaling factor. All are dimensionless: [∅] = [∅] × [∅] = [∅]. It connects to UniSpheral Harmonic Level Architecture, Harmonic View Size (Level N), Local Frame Rate (Level N), Local Pulse Rhythm (Level N), UniSpheral Zinf ℨ Pixel Size, BPT Foundational Equation and Holographic Pixel Bound. It counts cells of the local Pulse Diameter, not Zinf pixels: at level 202 that is 6.6 × 10¹²², the horizon in Planck squares; in Zinf pixels the count would be s² larger. Formerly named the Local Pixel Count (renamed 2026-11-04).