b-visibility.md

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b-visibility

  • 2026-08-28 [Conjecture] The gasket's b-visible density is (1 - 2^(b-1)/3^b) Prod_{p odd}(1 - p^(-(b+1))), not (8/9)/zeta(b+1) for every b >= 1: the local factor at 2 is 2^(b-1)/3^b, exact to the integer at b = 1, 2, 3 on every level 3..12, and the ratio to 1/zeta(b+1) is (1 - 2^(b-1)/3^b)/(1 - 2^(-(b+1))), which is 8/9 at b = 1 ((2/3)/(3/4)) and at b = 2 ((7/9)/(7/8)) only - 368/405 = 0.9086420 at b = 3, 2336/2511 = 0.9303067 at b = 4, climbing to 1; the two formulas part at b = 3, 0.8395292 against 0.8212786, and exact enumeration reads 0.8427119 at level 12, falling about 0.0022 a level toward the former; b = 1 is the proved 16/(3 Pi^2).