Only two morphic numbers: the Aarts-Fokkink-Kruijtzer classification of the golden ratio and the plastic number
Kernel-checked classification of the morphic numbers — the reals p > 1 satisfying both of the golden ratio's defining scale closures: p + 1 = p^k (the sum of consecutive measures of the geometric system is again a measure) and p - 1 = p^(-l) (so is their difference; rendered zpow-free as p^l * (p - 1) = 1). These two equations are the arithmetic of self-similar proportion: a number satisfying both generates a measure system closed under the paper's superposition and juxtaposition, the property pair behind the divine proportion's standing as the plane's design constant. The theorem…
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