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The spectre is kinder to tile-makers than the hat: it tiles strictly one-handed, zero mirrored copies, while a hat tiling forces mirrored hats at density 1/(φ⁴+1) ≈ 1 in 7.85. A beach spectre never needs flipping. Grown from the substitution rules, counted: artwaste.land/strata/aperiodic-monotile/