Stacked hexagon moire

• 2026-08-28 [Verified] The Walsh law's 1/n and 1/n^2 coefficients follow from plane counting: the plane x + y + z = 6n - 2, z even, 0 <= x,y,z < 4n at odd scale n splits by macro parity into counts that depend only on the weight k, N_k(2h+1) = [t^(3h+1)](1 + 6t + t^2) E_h(t)^(3-k) O_h(t)^k with E_h = 1 + t^2 + ... + t^(2h) and O_h = t + t^3 + ... + t^(2h-1) extracts all four exact quadratic quasipolynomials by finite binomial calculation, and ink is linear in the eight counts, so only the constant, 1/n and 1/n^2 orders survive the normalization; exact by direct enumeration of the plane at every odd n <= 55, all eight macro-parity triples, 28 layers, zero discrepancies; the crate rebuilds only the ink, at codes 23 and 11 over n = 1..11, where m_3 = 0 leaves N_3(n) unexercised, so the eight-triple split stays the lane's. Witness: walsh-spectrometer, mrlydemo::walsh_spectrum.
• 2026-08-28 [Conjecture] Layer alignment of the hexagon stack is imperfect by construction: the transparent grid fraction of the common box grows from 0.000 at n = 1 to 0.245 at n = 55, so 24.5% of the box differs between the smallest and largest silhouettes, and ray scans on the triangular lattice are aliasing-limited below band half-width ~0.01.
• 2026-08-28 [Conjecture] The adjacent-pair limit is -11/135 = -0.0814815 (lab/rs/hexagon-moire measures -0.08116 at (199, 201) and -0.08150 at (249, 251), with residue oscillation) and the gcd-echo limit is 29/135 = 0.2148148 (lab/rs/hexagon-moire measures +0.21473 at (67, 201) and +0.21476 at (99, 297)); both are numerology-grade fits and each needs its lattice integral. Witness: lab/rs/hexagon-moire. Superseded: -11/135 and 29/135 are exact by the phase-map integral, see the layer-pair row under Diagonal slice stack in SETTLED.
• 2026-08-28 [Conjecture] The carpet star's exact decay rate, the coefficient on (ln L)/L, is open: one frame measures -1/8 and another -0.18.
• 2026-09-06 [Conjecture] The exact doubling constant of the stack is 253/2160, matching the two independent branch extrapolations to 2.6e-6 and 2.2e-6 where 19/162 fails at 1.57e-4; a derivation is missing. Witness: lab/rs/hexagon-moire. Superseded: the constant is exactly 253/2160 by the phase-map integral, see the layer-pair row under Diagonal slice stack in SETTLED.