Sub-images of the Hofstadter butterfly obey exact Farey-sum rules, with nesting scaling factors and chain endpoints determined by four integers (p, q, M, N).
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Nests and Chains of Hofstadter Butterflies
Sub-images of the Hofstadter butterfly obey exact Farey-sum rules, with nesting scaling factors and chain endpoints determined by four integers (p, q, M, N).