Claims · 2 dated claims on Transparent fraction, each with its tag and its witness; newest 2026-09-21.
Conjecture The common-box transparent fraction does not grow to 24.5%: GRID(n) = (n-1)/(4n) for odd n reproduces 1/6, 2/9, 13/54, 27/110 at n = 3, 9, 27, 55, reads 0.2495463 at n = 551 and 0.2499504 at n = 5041, and its limit is 1/4; 24.5% is the n = 55 value, and at n = 0 the normalization is undefined.
Conjecture The transparent-fraction rows agree with each other and with their closed form: GRID(n) = (n-1)/(4n) evaluates in exact rationals to 0, 1/6, 2/9, 13/54, 27/110, 275/1102, 1260/5041 at n = 1, 3, 9, 27, 55, 551, 5041, which are the printed 0.000, 0.2495463, 0.2499504 and 24.5% at n = 55, with limit 1/4; no study in lab/ and no crate function computes the transparent fraction of the common box itself, so the reading of GRID as that fraction has no generator and both rows stay Conjecture. Witness: the closed form (n-1)/(4n) in exact rationals; none in lab/.