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 everyb >= 1: the local factor at 2 is2^(b-1)/3^b, exact to the integer atb = 1, 2, 3on every level3..12, and the ratio to1/zeta(b+1)is(1 - 2^(b-1)/3^b)/(1 - 2^(-(b+1))), which is8/9atb = 1((2/3)/(3/4)) and atb = 2((7/9)/(7/8)) only -368/405 = 0.9086420atb = 3,2336/2511 = 0.9303067atb = 4, climbing to 1; the two formulas part atb = 3,0.8395292against0.8212786, and exact enumeration reads0.8427119at level 12, falling about0.0022a level toward the former;b = 1is the proved16/(3 Pi^2).